Going on everyone Sam here with late sports cards. You've been dual-case MLB 2023 bowman chrome baseball hobby and HDA choice number 14 Pick your team style list of our names and our teams got Anton H with the straws Shipe with the Phillies CJ L. Marlins Daniel L D-backs angels David L with the blue jays Duke F white Sox Royals Suki M with the pirates Harper with the rays James S. Cubs Jeff K twins Jeffrey H. Orioles Giants Kevin D with the Red Sox Matthew B athletics Matthew S guardians Matthew L Cardinals might be with the Dodgers or in W. Padres Phillip T Yankees Rockies Mets Ralph P with the Nationals Rick E Rangers Robert B. Tigers Sean H Braves and Reds Vinny P with the Brewers and yoga are with the Mariners. So good luck everybody Let's do it Preston Y with a mixer spot. Let's go Preston 2 to go on our bowman baseball mixer Let's go man. That's been so much fun All right, we're gonna start off with some hobby and then we'll go into our choice after Appreciate that Preston. Yeah, I just saw your order come in buddy. Thank you. Thank you Good luck on that man. Those are a lot of fun. Those are a lot of fun. Appreciate the support as well Drop it before you got in oh no In Utah got it Looks like it yeah, wow wow wow Hey, thank you there again for us appreciate that Alright, here we go. That is a William Burgoy to 125 Yeah, welcome. Welcome Preston. Glad you are with us my friend Gavin Cross William Burgoy See something big here, man. Good luck. That is a magenta shimmer to Marge Johnson to 199 pirates base and base Michael Arroyo your boy Michael your boy Arroyo I was trying a bit on on on Arroyo 2100 yo entry Vargas there we go congrats Dodgers on the atomic what a way to start this hell yeah, man Let's go yo entry Vargas that is 63 of 100 very nice get that right into a Mac and grad Dodgers Dodgers want to last teams taken They they are worth it man when you can hit a Vargas like that. They are worth it Vientos to 499 thanks for the sub there Jim Jim a No, not Sean Did he really your dad did Oh my god, take his wrench away for that then take his wrench away. Well, it's got gifted Nice nice MJ 23 nice there we go Yankees takeover Sam, you know it always a Yankees takeover. It's always hashtag Yankees takeover when I'm here Let's go for us. Thank you For the the gifted the five gifted Sean Sean should go on a trash list for that Yoshinobu Yamamoto nice one there to 499 that'll be a random to all First Kyle and then jager Mayfield got gifted a membership. Oh, no. Oh, no Base auto Omari Daniel first for the twins nice one there Minnesota. Good Lord. What are we doing here, man? We please ban them all lost they're all pickaxing walls and Opening ammo boxes and not taking the ammo Sean Sylvia has become a member nice Jackson shurio on the Ascensions congrats on that. Yeah, if we had a top 20 trash list man, there'd be so many people on here I know honestly got to put himself like put himself low, but like you'd have to be on there For I'll never forget the week forest got on when the Patriots and Dolphins were playing Forrest and Vaughn got on for that. That was so funny Cuz the dolphins were playing the Patriots one week shimmer is Jonathan Mahia nice one there Yeah, I know right. That's what I'm saying dude hashtag expand the list Christopher Toran Nice one there for the defects we demand change right you got on it though cheesy. There's Walcott and Gennaro Miller. Oh, yeah Joey Bart the Don baby Bobby wits to 499 refractor for the Royal Space and Base I think we need a top 50. Oh my god, dude Could you imagine we should do that for the for like New Year's or something the top 50 trash in a year, man I know honestly Kevin Aru to 199 first for the brew proof because they all have jobs you all watch them work then they kick you with the memberships First base auto is Lu rod Luis Rodriguez There Alvin will be Alvin if we do top 20 Alvin's cracking like Alvin's top 10 territory man Alvin auto number one. I don't know man. I might not get number one Jake Jake is come on strong the last few He's got a strong end of the year on hell's the pay-ta Got a say a Suzuki to 499. I just won their cubs Basin base Sam doesn't work enough Sam works a lot. Yeah, you ought to tell Enrique's nice one there first base auto for the Mets Gerardo Luis Serna Atomic Willie Fannis to 100 or 150 excuse me 150 for the Mets Luis Almeida and Ethan Salas Illegal will be in the top three most likely Steve will be up there Shane will be up there There's Francisco Alvarez the 150 to atomic inserts in this box not too shabby there base and base Hans Mons Hans Montero box race Right again two to go on our Saturday night Bowman mixer here everybody to it to go to to go to to go Let's keep these orders coming in. Thank you all appreciated very much get some Star Wars filled up here get some Basketball filled up here as well and then some football Luis Arias nice one there to 199 on the teal ray wave So Joe and his Waldo Osario, man. They'll be a well-been Francisca in this pack. You ready? Well-been Francisca first that man brother Guerrero. There's gonna be Alfredo. Do know in this back You ready actually there might not be they go place Alfredo. Do know let's go That's what it is. It's the it's the Osario to Francisca to do it to Guerrero to do now That's what it is. It's those four in a row every time Every time first base auto Jordy Vargas going to the Rockies nice one there Colorado That's the Jones and mr. Jackson Merrill Not a refractor of Jackson Merrill surprisingly nice your sheet of image variation signing the autos. That's pretty sweet Signing a jersey in that pic wouldn't that be cool if that was like your jersey in that pic that he was signing? Oh, you had that card, right? Isn't that pretty sweet dude? Yeah, that'd be so awesome That is a magenta Oswald Parazza rookie to 299 for the inks Luis Torres and a Jackson holiday happy holidays Ethan solace first Adrian Pinto Nick York and some more base That is a orange yellow Vapor to 75 mr. Anthony Goodyear. It's going to the old ranges First base auto Freddie Michelle going to the twins congrats on that They did that one year actually yeah, they did that one of the tops. They had the Philly fanatic and Wally They had Raymond They had a couple other ones there were mascot autos I remember that like in like a flagship or like a tops holiday or something The Raymond one was really cool because he like jewel picture of his face through on it. So do South Stewart I swung there congrats on that me and Victor and Base I was a big fan of those when they came out so freaking cool dude two to go on our Sunday or Saturday night Bowman through the year's baseball mixer chew to go on the Bowman then 20 to go on Star Wars. I'm also gonna drop you guys a link to that It's been done and if that that that's what it was was opening day That's the one I remember for sure Sam was opening day on Star Wars black everybody on Star Wars black Let's get that filled on up. Those are always a good time and I do enjoy the Star Wars black 20 to go on that Whoops, you already said that well, I'm gonna say it again Twitter. Sorry You're gonna stop me now. You're not Mass mascot patch cards and pro debut of triple eight. That's good.  Oh, yeah, the Osario. So here comes Weldon Francisco Braylor Guerrero Got base Weldon Francisco and Braylor Guerrero, and then we got do now do not come in with Collier Maybe not First base auto Miguel Tomaras ice one there for the raise one of last team's taken hot tomorrow space and base Buster bison has won. Oh, yeah, dude green Nienteng who that'll be a random as well So the first team will get to the Yamamoto second team will get the Nienteng who she is not Yeah, we'll double check that but I'm pretty sure Chinese type head Purple shimmer to 250 Gavin cross go into the Royce Goodyear as a manual bonia No, no, that's what I assumed Was a Gerardo chop chop card boy Stuff what's up Spencer get this guy out of here yellow Reese Hoskins to 75 That's on that Philly space and base There's a there's a top 20 or in the track the yearly trash list Late did well first base auto for the Mets got Ethan solace first and Adrian pinto base And that guy is climbing up the ladder of garbage for sure that guy's a bot Chop chop movie boy later and Rico. Have a go on buddy Weldon Francisco and Braylor Guerrero. That is a Alfredo. Do know nice one there to 125 Teal pink vapor stop here. No, I believe she's got a membership What a waste of a membership We really should take away his wrench Forecard pack me may miss the auto that means potentially in this I do apologize if we do refractor on know the lentigua to 499 country chivalry chili chivalry Gunner and Christopher chlorine if we did get an extra in the first box, I believe Second half of the first box. I don't remember Juanita and Maya first I think we did. Sorry about that Ben Joyce to 199 for the angle. Sorry about that everybody EOS way to Paula First base auto you into Rivera going to the Nationals Congrats Nationals. Yeah pace and pace Get this guy out of here as Waldo Asario that is Thirland Thompson Nice one there. Weldon Francisco Braylor Guerrero. That is to 125. You see galan Congrats Rangers Now you want to fan back up? Okay. Yeah, there we go No, can you mind turning that down a little bit orange Marcello Meyer to 25 on the orange wave nice one congrats to the Red Sox So, oh, I do them under this event freeze Bring a sweatshirt even with the sweatshirt you're still Fill up selling a sow. Thank you, Phillip on the Mixer spot. We've got Joseph M with the spots in certified Joshua with a spot in both Star Wars. Thank you Joshua W and Ben L with two spots and certified. All right We are sold out on our mixer 19 to go Star Wars chrome black everybody 19 to go the next break with spots Thank you all to go on Star Wars black just a total of $50 a spot guarantees you an auto or one of the three card packs 19 to go everyone Thank you all so much appreciate that very very much down always Rick from Star Wars black. It's a good product. I do enjoy it I've seen some cool pulled the super out of it me at least personally I pulled the super a lot of us here have pulled the super so Let's continue on True blue. Happy bias to 150 Guys have Panini national treasures last year. Oh, no, it's been out N.T. Started in 2012 Panini got it. It's been out since like oh six oh seven Under playoff and then once Panini, I believe they bought playoff Ethan Salas I believe they bought playoff and Don Russ and those companies state Panini has made Panini national treasures since 2012 and Both football and basketball and yeah, we had a ton of it last year and we'll have a bunch of it this year as well Kyle we got an orange coming up here to 25 Joe is there's true orange for the ace I just went there. I love the true oranges man Grats on that never never hate an orange auto. Yeah, I'm a big. I'm a big N.T. Guy Victor is serious to 199 Yeah, no for sure Kyle absolutely man if you ever have any questions feel free. Oh, yeah, a bunch of big pulls from it last year Um, I mean all of like the RPA's out of 99 are always really really big We pulled I pulled a logo man. I think I thought a logo man last year That is Gerardo to 499 Luis Guanipa Brandon Maya I know it feels like it's been forever ago a lot of one-on-ones a lot of big vet patch autos that come out of that As well I don't remember specifically a ton of big pull. I mean all the anybody who is a big rookie last year Just watching my show called Joe Milton base collection from a dollar to ten cents gold Tyler O'Neill for the Cardinals 250 I think you could see a car is O'Neill a cardinal or a Is he a red? I think he's in a cardinal right see cardinal. I think I'm thinking of Stevenson's the red Yeah, O'Neill's car. Okay. That's what I thought Yeah, the sneaker spotlights from the war Those are so far so far Purple Diego Mosqueda to 250 nice one there for the Mets Wilmberg oil Pretty much everybody Matt McLean to 150 nice one there for the Reds So in this class we have a couple of these Ethan solace say move the style Felden solace then Brandon Maya Who am I missing who's the other one you want your Vargas and then last year Bowman Cromby Jackson Cheerios first 2021 it's like Austin Austin Martin Christian on Incarnacion Strand Jordan Beck and Victor and base the big ones would be Otani and then 2019 Bowman draft. It's Adley Ruchman Gunner Henderson Corbin Carroll Josh Young Riley Green 2020 Bowman draft. It's Jordan Walker Evan Carter. There's a bunch of Spencer Strider. There's a ton of names 2020 Bowman regular You've got Dominguez, Volpe, Bobby Witt, Jeremy Pena in 2019 Bowman Jayrod, Noel V. Marte, Francisco Alvarez Among a couple other names What other years are there? 20 and then 23 Bowman Drew Jones, Junior Caminero Spencer Jones few other names in that one lot of big names in 23 Bowman I'm trying to think 22 Bowman first-edition LED La Cruz and James Wood are in there as well First base auto Christian Monroe going to the Angels nice one there. Grats on that angels Luis Almeida Then 18 Bowman Cromby the big shapes would be I mean Akunya has rookies in it, which is pretty cool To 75 is Andy Acevedo. I swung there only my seconds. I will welcome back Nick Appreciate that buddy Ethan solace and Adrian Pinto got to get you a big team man. That'd be awesome From a pure volume standpoint of what we have. There's really not a bad team in there There's a couple teams that aren't gonna be as strong Cortes Bowman Draft jumbo you're looking at Jackson holiday Elijah Green couple other guys with Tamar Johnson Jonathan well buddy we do it man That is Matt Mervis for the Cubs to 499 and To base as well. That is Javier Valdez the 499 refractor auto congrats on that Elgato and in Sanchez Yeah, I'm very excited for that mixer. It's gonna be a good time. Jesus Caba remember Goya Victor's tourists first refractor to 499 for the Guardians facing these Spent some time Whoa Chill chill chill Yeah, I saw you over on fanatics live earlier today Anthony Gutierrez for the Rangers LSC under square Funkadelic man made a couple of appearances Over there Reese Y of the spot and certified Corey G with a spot in both certifies. Thank you guys there Gabriel Hughes Invicta and the Acevedo On the last break buying four spots.   That's been Oza John Sock shin melodious As a refractor Yuri Perez rookie to 499 congrats Marlin's very nice. Good to see Yuri Perez stuff Very excited. He's got a big debut Vaughn bought the Marlins and like all the brakes Yeah, they're 29 bucks, dude. Yeah I might have to snake on a couple of those now What's up a lot? I think one Benjamin to 299 or 250 excuse me. I think they're 300 or over Yeah, yeah Nice blue way Ray wave auto to 150 Diego Mosquera go into the Mets congrats on that Mets Very nice Gabriel Gonzalez and Brady house Jacob Melton refracted 499 for the Stroze that's Houston Xavier Isaac and Jeter Arnamo They want a ones pulled for I don't think so I don't think and certified yet No, no Arnato to 299. I don't believe yet Kyle not that I'm aware of at least phone Celestin I don't think we pulled the one-on-one yet Hucket chuck it.  Those are fire. Love those Sebastian Wolcott first and Marcelo Meyer No felons yet yoga. No not yet. Let's see if we can snag one this box ready felon in auto this box watch this yoga ready Hell yeah, dude, I'd be all in on that. I love certified man. I really do shimmer of Dionne Jorge And the stitches in time what Big oh That's choice right there. That's choice Ruben Santana 499 nice one there. I Hope we pop a super man.  So we we're doing hobby right now. That's just the case of choice Bobby wit nice one there for 99 for the Royals base and there's a Celestin. Come on, baby There we go. Let's let that be a sign. Let's let that be a sign yoga and Wolcott first Yeah, imagine a 2018 super that things been hiding in there for years somebody pulled the Bushet out of 19 or 20 recently. Yeah Yes, it is 640 p.m. Yes, it is Mitchell Wilbur, Francisco and Brother Guerrero, Alfredo. Do you know come on? Thank maybe not I don't know Eduardo Escobar to 499 Soto and as Waldo of Saria Usually it's that before the other Corbin Carroll and Gabriel Gonzalez White speckle order white speckle of Luis Almeida just regular white speckle to 299 or is actually a pretty good prospect No, not yet at least I'll probably be in 24 Bowman, I'd imagine Skip out on skip out on him and you're off obviously shimmer and Arnoldo lentigue. I guess we did miss the auto there Felman Celestin, sorry about that everybody happens a lot in hobby. You'll miss autos. I have a crack Like crack and have to get top sterling.  The opulence autos are fire Wait Jordan purple to 250 Is Thurus a suscaba? Is this the the last from the last box? Yeah, that's why I make sure I didn't go past an auto accident It was like an insert or something one second. We just want to make sure I didn't go past an auto We didn't miss it in the last box So we'll check that it wasn't on like an Arizona fall league and I missed it Bowman sterling nice That is Raymond Molot to 199. Yes top sterling is pretty pricey Sterling is about a G Yeah, yeah, Bowman's the one that just came out. Yeah, nice. Yellow's that gel off to 75.  Yeah, everybody. Let's get our Star Wars breaks filled up. Drop you guys a link to that again 19 to go there Star Wars and then down to nine to go on Star Wars galaxy multi-year random letter style Only one break over 20 spots everybody prism draft choice is the only one over 20 tonight Everything else is now under 20. I think the second certified still might be over 20, but very close to being Jose Ramos refractor to 499 Again, just 50 bucks a spot on Star Wars black They really are they do trade most of their ties Javier Sinoja to 50 nice one. They're true gold auto for the Marlins 9 of 50 Javier Sinoja They do really trade everybody dude and it's another true gold Corbin Carol rookie. There we go 18 of 50 go into the d-backs grass is a good case of hobby man really good case of hobby Congrats on that there Arizona will mag that one for you as well.  How you doing buddy? Good to see you as always. What up mark? What up? What up? Yes, sir. Really nice one there for zona really nice Corbin first base auto one corneal Very nice very nice. Congrats on that and Edwin Solano. That is gonna be mark Vientos to 299 for the Mets Mason base Even though what I want to do last for that probably the 2019 Bowman draft Ariel Castro to 499 There's a lot of good product in there man. That's insane Yeah, it's gonna be a lot of fun Because even like 23 Bowman sapphire can hit really hard true Really hard because of some of the names Yeah, you might pop a deal real quick We pulled the pop a deal recently actually out of that. Yeah, it was out of that. Well the blade Jordan's up a deal Let's go. That's dope. Yeah, try to hit it. It was in the World Series Diablo, yeah, that's a big pop Yeah, Mitchell, let's go stay away for the mixer Yeah, the only thing with 19's got a little bit more possibility 18. It's almost like Otani or not Otani or bus, but like If you hit I mean if you hit the Otani, it's insane But you just have more you have more possibilities in 19 Nolan Jones to 199 a lot of the guys are 18 I'll probably second to last Louise Laura nice one there first base auto for the brew crew very nice Yeah, I'm really excited for the mixer too, man. It's gonna be a good time. It's gonna be a really good time Espinoza Jumsoc shim Nice an hour. Nice one there. He was a galan and Camilo Diaz Spider-man football and late and all on at once. Oh boy. Oh boy Jonathan, Loisica Nice one there to 499. Yeah, the base. No base Otani to like a cup like a hundred or a hundred Like we pulled one of the inserts atomic to a hundred of the Otani out of that recently and that's like a thousand dollar card But yeah, base Otani's I have to imagine do about I Mean the PSA 10s at one point base like the paper PSA 10s at a bowman We're doing like a hundred of pop and the Crohn's were doing over two What's a PSA 9 do? Yeah, yeah, like an SGC 95 did 350. I think it starts at 7 735 735 Phillip. We have one more break after this one Jeffrey. I'm at the spot both certifies Thank You Jeffrey and then boyette with a spot in Select H2, so thank you guys there White speckle is Daniel Giarte. I saw in there. The better prospects for the Brewers to 2 2 9 on that's on that group Yeah, the Crohn's do well man I mean the paper when he was like on fire his papers were doing like his base papers doing like $30 apiece like that's crazy, dude Masatake Yoshida on the ascensions to ascension is very nice. Congrats Red Sox base and base Like that's not Yeah, yep image variation and the ascensions second ascension stew, right? Yeah, so 499 Peter Lonzo fell in the Salisthen d'Angelo Sarmiento Walcott first Can't wait till he has orders to walk on You remain your mate Pat and you and in Nick. Let's go dude Alex Ramirez Yeah, sounds good Phillips. See you soon man. See you soon. Yes 735 Eastern time 735 Eastern time Nick you still in college or you living with a roommate? I was gonna say I was gonna ask where do you where do you go to school? If you are still in college Hans Montero nice one there. Yeah, Ellie's were going nuts at 1.2 Ellie papers were doing like 10 apiece. That's nuts Connors staying to 299 nice one there for the rocks. We've got Ethan Salas and Adrian Pinto That's what me and Kyle do a lot me Kyle and Sab will go in and ten casers together the 499 Anthony Volpe nice one there Rookie for the Yanks split a break spot with somebody else here before Some reason I thought I thought me and you split a break spot once, but I don't think we have on Jorge Up in PA nice Sell cars rent properties crazy. I can imagine for sure God, I can imagine up in PA nice. Yeah, I'm from Connecticut originally, so I'm very familiar with PA I would just I went to college in Western, New York as well So I'm familiar with the area Yeah, dude, that's what Sab and Kyle and their other roommate also named Kyle Hey, Riz and Kay Razz as I call them he's a big razz guy Well, he's a big of a razz dig into the raffles. Yeah, so he was yes, exactly. He was nicknamed Kay Razz by me Bonsol for years dude smart honestly, man. I've always looked into that and it's I don't know how to fix cars That's a issue So I would just I would just buy them and sell them as is like have no Oh, yeah, dude because they're gonna be so much that's wrong with them too And it's hard to get parts if you're looking at like older stuff a lot of times But I always thought that was a lot I thought that was cool. It's tough too because like in the state I mean most places you need a vendor like a dealer license Brian Rencone first base auto I just went there for the Philly scratch-shipe because the way to do it is to go to like wholesale auctions and buy it that way because you get stuff for cheaper and then But you need you need a vendor license And if not you could send a proxy that all that has a vendor license You could bid through them because I looked into this but it's just tougher. It's a lot of work That is one almost first base auto nice one there for the Royals Anthony B with a spot both certifies Steven B with a spot in certified And close to being sold out on that. Oh Absolutely, I mean that's like sales and anything you know what I mean That is to 499 Henry Ramos nice one there for the Royals Congrats on that Royals. I had a buddy that used to flip cars and I was in high school like he was in college when I was in high school to work together and He would he bought a lot of cool stuff He like I remember I'll never forget he flipped an oh oh for Impresa bug-eye, which I always love the impressive the bug-eyes the impressive wagon, which is like a car No, the Subaru super impressive this one right here 2004 car I love dude Subaru Impresa wagon This is like one of the cars. I'd love to just get in like this one right here It's called the bug-eye because the eyes look like bugs this one right here I remember we bought and sold that one when you mod them out. They look really good like this And like like I mean that's a little less Like this right here, that's like that's how that's a clean one And then he ended up buying a you know buying a GTR in the reporting it or a skyline Uh, Daniel it's a nice one there first base auto for the Rangers Yeah, I was gonna say definitely at the end of the year. I can imagine that's a huge time First base auto Kennedy corona going to the Astros And to 499 Camilla Diaz going to the Astros as well Robert with a 10 box spot. Thank you buddy On a Tuesday. Yeah all the mixers all the 10 box are budget mixers this week So they're super inexpensive a lot of cool products to rip So it's gonna be a fun one man. I think there's a single 10 box Tuesday mixer over a hundred dollars. Yeah I know dude, right? That's what I'm saying. I wasn't if I wasn't ripping it dude. I'd be in dude Are you in cheese? No, me and courtese this week actually first base auto yen. You'll avoid Uh, there are a couple. There's the hucket chuck it Um graffiti one the graffiti and then night moves. Yes. Thank you Nice one here to 99 green lava is jacob melton. Nice one there for the astros jacob melton Yeah certified solid man chris newell to 99 as well for the um Dodgers That's how you who's on the blank the origins blank slate checklist. It's very weird Elijah more Robert woods And mild sanders all on that bobby trees is on there. Yeah Which is kind of cool because it's like It's very very random, but it's I was like, oh, that's kind of sick actually I'm in on bobby trees. Yeah Uh, it's waldo osario nice one there first base auto surprises cards have dropped Yeah, I mean it's that time of the year like a lot like panic stuff is shot up. That's the thing Uh, first base auto dillon ore. Oh, oh, oh, oh re auto parts barrel Sylvia with a couple of spots got a select h2 spot. Thank you buddy. Garrett are with a certified spot To 499 jordy vargas first, uh refractor out a nice one there Yeah, that's what I was I pulled the blank slate Elijah more. I was like, is this a I was like, is this a because the checklist wasn't out yet on the Oh release that was like, is this uh, I was like, is this a uh I was like, is this a blank slate? I don't know what this is like. Why is Elijah more have a case? It's very strange, but I think obj's got one They have a a booklet of zay and flowers. I mean zay and obj. Yeah, that's pretty sick in origins Yeah, I was in on that one first base auto love wing espinoza going to the cubs Yeah, that's what I said man. I was like, is this I was like, what is this? That is a uh, it's a 150 choice exclusive aiden sanchez I just went there for the cubs again and then go into the orioles anderson de los santos to 299 For baltimore Oh, yeah, and then it'll start to every all the guys who are Once all the mock drafts really start heating up and the combine then then the bowman stuff will get big time again I'm trying to suspect in my book Mark with the astute analysis as always The can't miss analysis or mark Joey Ortiz base auto for the Orioles they miss it Oh, they blocked it So now they're only down by a touchdown now, right? Oh, it's big It's a big swing right there. Dario Barrera First base auto for the white socks. Congrats white socks Cesar with a spot in select h2 derral m with a spot in certified some more spots coming in. Thank you I mean bow to 250 that is eo and a revero Grats on that purple auto for the nationals. There you go nuts See something huge come out of this man. See something huge Yeah, true But nix also played a little mess for a bit too. Nick's a little different because he's a transfer guy Okay, brian rincone first base auto Nice one there. We got a orange coming up here though See something huge right man, marcus lee sang first base auto for the fillies. You know marcus lee did He sang man. Congrats on that again fillies and orange any belt ray 225 congrats padres. I almost had a heart attack for a second there when I saw the padres I mean granted solace's picture is much different because it's like it's like a headshot, but still man Yeah, very nice. Congrats on that still padres orange autos all that take them All day Don't matter who it is if it's new and it's orange. It's cool. That's how you gotta look at it, right? Yeah, I know shipe. That's what I was gonna say at a mini mini heart attack there for a second What's up shipe? How are we doing buddy? As always shipe We have a group chat me shipe and kyle on instagram first base auto for the dodgers chris newill For uh for drafting stuff and kyle asked last night. He's like we supposed to go off tonight. I just go trey young.  Come on. Got yanyol laboy 299 green lava rats on that one there Nice color match for the ace Yaboy laboy and then a 499 for shipe again is marcus lee sang Doing pretty well here actually shipe at the fillies this time. Nice one there Congrats philly Shipe with philly Because I kept rubbing that in when the the hawks won that day on wednesday He was so mad. It was so funny junior franco first base auto for the uh dbex First base auto is louis paralysis for the red socks as well Nice one there red socks louis paralysis and then to 299 jacob melton as jake would say this card is so hot.  See something big that Yeah, I don't I I never got that either Uh base auto of clark elliot. Nice one there. I was never a josh rosen guy God first base auto of joey estes Nice one there again for the ace to go with the orange that we pulled earlier These are it man and it's 75 for the dbex to meet your croissant. They congrats on that's arizona very nice Two boxes remaining on the break. Good luck here. We'll do a recap of course after Is this fourth down yeah Hey, thanks pb appreciate that. Yeah Well colt 45 throwback and then it's got the uh 40th anniversary of the straws on the side So I picked this up yesterday as a matter of fact Yeah, I always wanted a full uh colt 45s hat. They're just hard to find It ain't super easy to find because they're usually on limited releases And they usually go pretty quick when they come out by like hat club and stuff And any other big companies There we go. That is the first base auto of joel ds Show this other one right here as well. It's gonna be camillo ds the other ds I appreciate that pb. Thank you. Thank you That that's what I was gonna say. It is a little hard because it's a stroze hat It's still it's still cool for sure, but I feel that too. I know it's a mean shape. All right, that was easy to get at actually Ampty Got purple first auto droler. They got a 250 for the uh twins I just won their twins Very solid and uh is a piece of foam Last box of the break. Good luck everybody You throw an interception Or they was just incomplete Yeah, I appreciate that choice First base auto junior maron go into the uh royals. Nice one there Hey jake v pick it up a spot and certified as well. Thank you jake Two 150 is choice exclusive of hasu scallies. Congrats on that. They're dodgers I just want lad And then green to 99 yanathan and riquez 98 of 99 congrats to the mezz I've got a quick random to do I'm gonna random the entire uh list of teams. The first team will get uh the yamamoto Yeah, and that is just on the sleeve I'm pretty sure that little speck of dust you see up there pretty sure that's just on the sleeve No, it's on the card actually just wipe that off really quick. Yeah We'll wipe we're just gonna wipe that off really quick before we do the random and the second team We'll get the nian tang wu green to 99 to come off or no no It's got it's just a Like a crimp. All right, we'll send an empty box and wrapper with whoever uh gets the uh Gets that one. So sorry about that whoever does get that one. It's a nice card still again We'll send an empty box and wrapper of hobby. Um, so that'll be the order again one and the second team will get that one So Enough talking. Let's go and do it now Yeah, I would say so.  What's operators? Wbc All right, everybody again, I'm gonna roll the dice whoever is on top after Uh Four times the top team will get the Yamamoto and the second team will get the wu So good luck here everybody. Let's do it one two three four five six seven and eight Uh, Philly's gonna get the Yamamoto. There you go. Shai Uh, like I said, I'm gonna send an empty box and wrapper a hobby shai Just to be safe here It's not at all very much. Um, so Philly's will get the Yamamoto. Nice one there, buddy And then the angels are gonna get the Nianteng Wu How do you see that? Well, very nice. Congrats on that. Not too shabby their shape at all. We'll uh Prize there as always so good stuff everybody Uh, robert with a spot in number 13 yoga with the mariners in a uh full case. Thank you buddy Do a quick recap here everybody. We had image variation of shouhei and not shouhei of mastaka Yoshida Uh, Yoshida as well on the uh ascensions and nechirio ascensions gold tether onil to 50 orange shimmer marcello meyer Matt mclean to 150 Uh, starting off with our base orders.  Omari daniel. Yeah, the mastaka the photo variation is sick of Yoshida. Yeah, i think you're a fan of that card Onto refractors to 499 marcus lee sang jordy vargas camillo diaz headry ramos Ruben santana javier valdez to two fifth or to two 99 now on the white speckles conor stain jacob melton Daniel guillart a anerson de los santos the 250 on the purples durel ortega Diego mosquera yoan de revero to 150 on the choice exclusive And the blue ray waves. We have adan sanchez. Hey, hey sus galiz. Diego mosquera to 99s on the greens Yaniel la boy jacob melton yonatan and ricas and chris newell to 75 yellow demitra chrissantes gold to 50 javier sanoja oranges to 25 eddie beltré and true orange joe estheds They look really good jt. It was kind of insane actually We had a gold true gold rookie of corbin carol. I just won there for the Debacks, we had a yoan de vargas to 100 on the Atomic and then a yellow zap gel off 275 for it the Ace so very very very good break right there Across the board that'll do it for the break everybody. Thanks again for the fill up next is top scrum sapphire


Overfishing has been a problem for a long time. We still have one in every three species that we exploit overfished, so it is still a significant number. There are some problems that are new. Climate change, for example. To manage fisheries is absolutely essential to know what is the driver of change. So if you are, for example, over-exploiting a fishery, you know that you reduce the exploitation rate and that resource should rebuild. But if that decline is not because of overfishing but because the climate is changing, first there is nothing you can do at the sector level to fix that problem and second you have a new problem which is people, the people that depend on that resource. The issue of data is implicit to anything that you need to manage. If you do not know what you are managing, you cannot manage it. So data, data collection systems are essential and in the ocean that is difficult because data collection is expensive and the ocean is vast. Some countries do not have the capacity to even sample their own waters. FAO has one of the most remarkable research programs. The only research vessel that flies the UN flag is called the Fridge of Nansen and it is a vessel that we run the program and it surveys waters of Africa throughout the African continent and then into the Indian oceans and back again into the African waters. Data is given to the countries themselves because we know that they do not have the capacity to generate that data themselves. So data is essential but it is not the only thing that you need. We need also political will, understanding of the trade-offs of certain management decisions. These are issues that are technical and they are political. We have the issue of climate change. How does this challenge affect our ability to fit the world and it is crucial because contrary to most of the resources that we grow for food, fish move. They have no boundaries. They carry no passports and climate change is causing changes in distribution. Species that are moving north or south actually towards the poles. They are changing the productivity, they are changing the seasonality and that has important implications throughout the value chain. Just imagine a fisherman that is used to a particular fish that they catch suddenly is a different species there. The gear that they have might not be useful for that species. They might not have a buyer when they bring it to the shore because there is no consumer that is used to that fish. So you can see that in terms of addressing climate change in the context of food security we need to make sure that we adapt, that we adapt to the changes and that we make them part of the solution. If we don't do that then we are going to go to a spiral of maladaptation of finding short-term solutions to problems that are not properly framed. I feel very strongly that climate change is the biggest challenge that we have when it comes to fisheries in terms of providing food for a growing population. The demand for aquatic foods has been growing. How do we feed this extra demand? Aquaculture. Aquaculture has been the fastest growing food production system for the last five decades. From virtually zero three or four decades ago to now virtually the same production as capture fisheries. So this is what has allowed us to increase aquatic food consumption. In fact the consumption of aquatic foods has been growing at twice the rate of population growth. So it's making a significant impact into the improvements in nutrition without affecting the ocean. The Blue Transformation Initiative is a vision from FAO that has started with two big principles. The first is to accept that aquatic foods are part of the solution to hunger and malnutrition. We need to accept that this is part of what we want to do. The second is the recognition that transformation is happening even without us doing anything. There are three very specific. The first one is continue to develop aquaculture. It is absolutely essential. We expect aquaculture to grow by about 25% between now and the end of this decade. But even that will not be enough because population continues to grow. The second objective is to make sure that all fisheries are placed under effective management. This might seem simple to understand but you know that 50% of the fish in the markets comes from species, populations that are managed and that are scientifically managed. 50% do not have that level. The 50% that are managed are increasingly rebuilding and they are sustainable. The others are not. So to say let's put everything under management is because we know that we make them more sustainable in the long term. And the third objective of the Blue Transformation Initiative or vision is to develop the value chains of aquatic foods. What does that mean? It means reducing loss and waste. It means facilitating the access of the product to the markets, regional and global. It means raising awareness to the consumer about the value of aquatic foods. It means bringing aquatic foods as part of the nutritional strategies of countries. All that process combining more production, better production and better use is what Blue Transformation is about. Technology is absolutely essential in all aspects of food production of course. In fisheries and aquaculture is extremely important. For example in fisheries we have technological advancements in the use of sensors. We can now use sensors to see what fishing boats are doing where and when. In real time we can have sensors that monitor how fishing gear operates to make sure that they do not catch unwanted species, to protect vulnerable species and habitats. That through sensors can be done. In aquaculture we can have sensors to for example understand whether a pond has received enough feed, whether there's too much feed that is wasted. You can detect that from sensors. You can detect the quality of the water. You can even detect if a disease is emerging. The consumer has a significant role to play in ensuring the Blue Transformation and to ensure that resources are sustainable. First we need to make sure that we educate the consumer because there is a lot of misinformation and misunderstanding when it comes to issues of fisheries and aquaculture. So many stories and I mentioned that we fish 3,000 species of fish and mollusks and crustaceans. 600 that we culture. There's a lot of variety so educating the consumer is important. The consumer needs to demand though that what they consume is healthy and it's sustainable. And for that reason it's important to have understanding transparency in the value chain so that they know where is it, what they eat, what it comes from and what it's gone through.


As social beings, humans depend on each other to get by. In this video, we'll examine the extreme end of this trait. Dependent Personality Disorder We'll begin with the formal diagnosis. It requires at least five of the following in a variety of contexts. Crippling indecision about everyday things, requiring excessive advice or reassurance from others. Intense fear of the weight of responsibility for their own lives. They will place it on others. A struggle to disagree with people because of a fear of disapproval. A lack of self-confidence leading to lack of independent action. Performing actions that are potentially unpleasant for the purpose of getting support from others. A struggle to be alone due to fear of being unable to self-care. Urgent requirement for close relationships. If one ends, another is immediately sought. A preoccupation to an excessive degree with fears of being left alone. Of course, many of us experience aspects of these. It is only a disorder if it causes enough distress to significantly impair function socially, occupationally or otherwise. A person with severe functional impairment resulting from these traits truly believes they are unable to manage their lives independently. To that end, assertiveness will seem to them as destructive, fearing that it may alienate the people they depend on. Assertiveness is, of course, just the thing that needs to be built. To get this person moving comfortably through the world again. For those who haven't experienced it, it is a scary thought to believe so little in oneself and so entirely on others. How would a person get to be in that position? There's thought to be contribution from genetics and contribution from childhood experience. That's another way of saying some parts nature, some parts nurture. More specifically, parents who are overprotective or on the other hand dominating and authoritarian put their children at risk of becoming dependent. Given the importance of the person's close relations to the path of the disorder, it's crucial that these loved ones play a part in the recovery process. Family and couples therapy can help to build safe and healthy relationship dynamics. And with that, assertiveness can be earned and independence regained. Hit subscribe if you liked this video, thanks for watching and we will see you next time.


this is what should happen. This is what we think is going to happen. We want to make that as numerical as possible because numerical items are easy for us to then compare. In other words, we say this is what we think should happen. If we can measure it in terms of dollars, that's very concrete. That's easy to measure. Then we say, hey, this is what actually happened at the end of the time period that we had previously budgeted for. And of course, the difference between those two is something that we can then look into and think about and consider why so that we can then make another budget for the next period and move on and on and on in this fashion, hopefully improving, improving and improving. Another major goal of the budgeting process and one that's often overlooked is the motivation of employees through participation. It's often thought that the budget is going to be applied from a top down type of perspective. And sometimes it is, but we want to be careful of that because we really want to have the bottom up type of feedback. We want to make the budgeting process a communication process because it's a really big opportunity for us to have that communication process. We want to be able to have all places within the company be able to give feedback so they feel like they're invested in the plan. They've contributed to the plan. They are part of the goal that has been taken on through the budgeting process and therefore they're personally invested in the outcome. The only way to do that is to really get the feedback from everybody within the budgeting process. So the budgeting process, huge opportunity for communication to help everybody to feel heard. It does not mean, of course, that it's going to be a democratic process and we're all going to take a vote and decide what the budget is, but it does mean that the process of creating the budget should be in a systematic way and the governing of the process should be in the format of how can we get the best information and everybody in the company should hopefully know that the budgeting process is designed with that end goal in mind to get all the information. That's what the budgeting process is for and then, of course, the final decision is made, final decision made by management. Once the budget has been completed, then hopefully everybody feels like they have invested, that they have been communicated with well to that, that they've been able to contribute and that any kind of response to the budget and any decision that has been made has been well communicated hopefully in a way that addresses any consenting viewpoints so that everybody feels invested in the budget and then the implication, the implementation of the budget can happen and management then wants to implement the budget and make sure that the plan is then executed. Once the decision has been made, once the budget is set down and we're moving forward with it, then we want to make sure that the plans of the budget are clearly communicated, the process of making the budget now having been ended, now we're in the implementation of the of the budget and want to make sure that the implementation, the communication of the goals of it are now communicated from management to the employees and in a way that everybody understands what those goals and objectives that everybody has decided and invested in are. So to recap our budget objectives, it should promote future analysis of thought and direction so it has everybody kind of focused on the goals of the company and the goals that are going to be the future orientation. So if there's any question on the day to day type of activities that can happen, they should have some idea we should have some idea of what to do given the overarching vision the overarching goals and objectives of the budget and the company communicates the plan to the organization. So the organization, everybody within the organization hopefully has a good idea of what the budget is, how to act within the budgeting process, what their department is required to do within that budgeting process because those steps have been well communicated, make long-term strategic plans into short-term financial plans. So we want to have an overarching vision, upper management does of course, want to communicate that vision but also want to communicate how we're going to get there on a step by step, year by year, month by month, day by day type of basis so that people within the organization can then see the overarching vision but also what they got to do immediately. They see the road in front of them, how to take each step as they go along the right with the way provides benchmarks for evaluation. We should be able to compare what we do on the budget to what actually happens. That given us feedback on our progress so that we can then make another budget and it motivates employees through participation. It really should be a communal kind of activity. If everybody, if it is, it's a huge benefit, huge opportunity for everybody to feel like they put some feedback into the budget, not necessarily feeling like the budget did everything that they wanted. That's obviously not going to happen but feeling like the process was good, process was geared to get communication, to get feedback and all of that feedback hopefully was addressed and therefore people feel like it was a it was a good process to go through and therefore are invested in the plan and then once the plan is implemented, they will feel invested in carrying out the plan and achieving the goals and objectives of the budget.


Next question is from Drummer Man 1089. What is your best financial advice for newlyweds? Oh, so this is not gonna be sexy advice.  Well, no, this is a hundred percent. Don't take them in McDonald's. You know, here's the deal. It's like a new lifter. Like, okay, what are the advanced techniques for building biggest biceps or whatever and I'll say, okay, squat, deadlift, bench press, you know, overhead press. But yeah, but I read this article where occlusion training and getting a pump and force reps and, you know, using bands and chains like, no, no, no, this is where you need to start. So this can be confusing for people because you look up financial advice or best ways to invest and you get all these articles on how to leverage your money and leverage debt and invest in the stock market, which companies to pick.  And yeah, here's the bottom line. No joke. And I listen, this is, forget coming from me. I'm a trainer. I'm a fitness guy. I come from a family of investors. All my cousins, this is what they do for a living. So my brother does for a living. I'm on a thread with them. We talk about this all the time. And it's funny, one of the biggest things that they talk about is how they, now that they're experienced and advanced in investments, the stuff that they used to think was totally wrong. Just like when we started working out, I thought it was all these advanced techniques. When in reality it was the basics that would have got me there. They said, man, the best thing you could do when you first get started is two things. Number one, eliminate your debt. So don't have debt, don't have credit card debt, don't have car debt, don't pay interest. That's money, that's just, you're burning. If you wanna buy a car, buy a car you can afford to buy right now. That means you gotta drive a shittier car, so be it. Don't have credit card debt at all. That's again, another big waste. And then number two, save 100 grand. That's what they always say, they always say this, save your first $100,000. After you, because nothing you can do up into that point will be as consistent as just saving or as effective as just saving 100 grand. Once you save $100,000 and you do that, then you look at investing in the market or potentially buying property and stuff like that.  What you're probably gonna do is you'll make a few mistakes, lose it, and then you're totally screwed. So it's better off to save and not spend, and I know that sounds old school and boring, but that's what they continue to hammer into me, you know. I think that's great advice, dude. So I have two things I'm gonna give you and I'm gonna preface it like Sal did. I'm just a fitness guy. I'm not a financial advisor, but I learned the hard way. So I made good money when I was really young and spent and lost a lot of money. And so later in life, I came up with this kind of semi-conservative formula for myself. And it's not like what you'll read in some books, because then I'll give you a great book to read too on top of this that doesn't completely align with this. But this is what really got me in a direction of like in a place where I could invest like Sal, saying saving my first 100,000 and moving to where I could actually have money working for me. And that was, and because here's where I struggled. Somebody who didn't have much and then I got money was like, man, I worked so hard. I wanna be able to reward myself. I wanna be able to enjoy some of these things I have. There are materialistic things that I like. I do like to drive a nice car. I like shoes. There's all these, this stuff that I like. But then at the same time too, I don't wanna be irresponsible like what Sal's alluding to right now. So I had this little thing that I used to do and it was, okay. And I've always had jobs or businesses on the side to where my pay is always kind of fluctuated where it's not always like this flat rate. I could work harder in a month because I own my own businesses to make more money. And so I made a deal with myself that if I wanted to buy something, whether it be a hundred dollar pair of sneakers or a $50,000 classic car, I had to have saved or invested the same amount of money. So if I wanted a hundred dollar pair of shoes, I would, I need to have also saved or invested a hundred dollars of that money that month. So I never ever spend in a month's time more than what I've saved. So 50, 50. 50, 50. So that's after bills, right? So you pay all your hard costs that you have whether that be car payments, rent, mortgage, whatever you have, take care of all that. And then I have a set amount of money left over. Of that 50% of that, I would allow to buy things that maybe I want. And then the other 50% has to be saved. That's gotten me a long way. Now that doesn't completely align with the book I'm gonna refer to you. I wish I would have read this book because it's definitely tightened. I've tightened my game up and it goes more in line with what Sal said. Was a great book reference from our good friend, Mike Matthews. And I just finished reading it not that long ago. So, and this I think would be great if you're recently married. I've talked a long time ago on the podcast about things that Katrina and I have done to build and strengthen our relationship. One of those things that we do is we listen to audio books together, listen to Millionaire Next Door. Great read. Also would be great for you and your partner to listen to it together. Make a couple hours out of the week whether that be just one or two hours out of the week that you dedicate that you and her sit down or you and him, I don't know who's asking this question. You know, sit down and listen to this book and work your way through that. And it addresses everything that Sal said and everything that I've talked about about how you should save and invest your money. Yeah, I think, I mean, just to kind of throw this out there, reading this question to me is really about getting both parties in alignment first. And I think that a lot of couples still operate with their own financial strategies independent of each other. And I was actually talking to a few, like when my brother-in-law and like how they kind of got to the point where they are, but it took some time to really relieve the fact that your money is their money. It's the collective money. So you got to figure out both of your goals and how you can align both of your goals together. So you really need to have that conversation and sit down and pull everything together now and really just kind of put all that extra stuff if I pull all this in and you're not doing it, it just creates dissension and that just never works. It just ends up in like fights and money is a big thing that really breaks up couples. And so to really just establish both of your goals, write them out, how you're gonna get there, definitely eliminating debt, saving money, like all these like old schools, conservative methods are time tested for a reason, but then how are you gonna then collectively as a team move forward in your investment strategies and all that, but that's something that I mean, I had to like have that hard conversation and really put a lot of time and effort in, okay, we have all this debt here from my school, we have this from your nursing school, like this, how are we gonna eliminate this? Like what kind of strategies are we gonna use in terms of like using our credit card to paying it off every month so that way we build up our credit score, like things like that, that just having that conversation I think is crucial. Yeah, the challenge with this is that, and it's again, like fitness, people who are getting into fitness and wanna change their bodies, they look at the genetically gifted or the guys or girls who take steroids, oh, I could look like that in a year if I just did all this crazy stuff.  It's like you look at millionaires who start this company and blow up or you have a friend who got into a company who then went public and they became millionaires and so you're like, oh, this is how you do it. This is the fast way to do it. If I invest it here and I make 15% here and 10% there within 10 years, it doesn't work that way. It is unfortunately, or fortunately, it's a slow process. But look, maybe it takes you 10 years to save $100,000, okay? Because it sounds like a lot of money. I know to a newlywed, you think, my God, how many to save $100,000? Okay, it might take you 10 years or 15 years. That's the hard part. After you get to that point, now you have some money you can invest and here's the thing with money, the more you have, the more you can make. It's that initial period that's difficult, that initial period of eliminating debt and saving your money. And that also, by the way, that also helps you develop the skills and the financial health to be able to deal with money when you make it or maybe even lose it because there is a lot of skill that is involved with that. This is why lottery winners tend to go bankrupt. They don't have the skills associated with earning that money, they just get it. So if you go through a period of 10 or 15 years of eliminating debt, living below your means, saving your money, wow, we saved our first $100,000, you are now prepared to really take yourself to the next level with that amount of money. But again, if you talk to responsible investors, that's what they'll tell you. Eliminate debt, save your first $100,000, set those as your initial goals. Live below your means. And that's the only way to do it, you'll be okay. Millionaire next door, it's a good read for you and I think it'll be great for you as a partner to do.


Hello and welcome to the session. In this session we discuss how to find the expected payoff for a game of chance. Now we know that expected value of a random variable is defined as the weighted average of all possible values that this random variable can take on and it is a measure of central redundancy of random variable. Now we know that in statistics weighted average is equal to summation of w i x i whole upon summation of w i where w i represent the weights and x i represent the data points. Now when calculating expected values in probability the weights that is w i are just the probabilities of the values x i. In this case the sum of the weights in the denominator is equal to 1 because the probabilities will sum to 100% if you are considering the complete probability distribution. Hence the expected value becomes summation of p i x i where i varies from 1 to n and here we know that sum of the probabilities is equal to 1. All you can say if capital X is a random variable with possible values denoted by x i and p of x i denotes probability distribution of random variable capital X is equal to x i then expected value of random variable capital X is given by even capital X is equal to summation x i into p x i the whole where i varies from 1 to n. Now the expected value of the game is the sum of the expected payoffs of all the consequences or we can say expected value is the sum of the possible payoffs each multiplied by its probability. Now let us discuss an example. Here we are given that 500 tickets are sold at $1 each for a charity effort. Tickets are to be drawn at random and cash prices are given as follows. One price of $50, two prices of $20, three prices of $10 and we have to find that what is the expected value of this example if you buy one ticket. Now let us start with the solution. Here we are given that 500 tickets are sold at $1 each and we have one price of $50. So probability of this one price out of these 500 tickets is equal to 1 upon 500. This means that you have 1 by 500 chance of winning $49 as this one price is of $50 and cost of one ticket is $1. So the person has a chance that is 1 by 500 chance of winning $50 minus $1. That is $49. Now it is given that there are two prices of $20. Now again we know that total number of tickets is equal to 500. So you have 2 by 500 chance of winning $19. That is $20 minus $1. Then there are three prices of $10. This means you have 3 by 500 chance of winning $10 minus $1. That is $9. Now we know that probability of an event not happening is equal to 1 minus probability of an event happening. And here we have found probability of winning one price, two prices and three prices. So probability of not winning any of the prices will be 1 minus probability of winning one price that is 1 upon 500 plus probability of winning two prices that is 2 upon 500 plus probability of winning three prices that is 3 upon 500 the whole. So this is equal to 1 minus 6 upon 500 which is equal to 500 minus 6 whole upon 500 and this is equal to 494 upon 500. So probability of not winning any of the prices is 494 upon 500. This means you have 494 upon 500 chance of winning minus $1. That is losing $1 which is the cost of ticket. Now let us make a payoff table for the above obtained results. Here let the random variable capital X represents the amount 1 and P of X be its probability. Now in this table we will denote the possible values of random variable capital X by Xi and their probabilities by P of X equal to P of random variable capital X is equal to Xi. Now for one price the amount 1 is $39 and its probability is 1 upon 500 then for two prices amount 1 is $19 and its probability is 2 upon 500 similarly for three prices amount 1 is $9 and its probability is 3 upon 500 then for not winning any of the prices amount 1 is minus $1 and its probability is 494 upon 500. Now we know that expected value of random variable capital X is equal to summation of Xi into P of Xi the whole where i varies from 1 to n. So here expected value is equal to $49 into 1 upon 500 plus $19 into 2 upon 500 plus $9 into 3 upon 500 plus of minus $1 into $494 upon 500 solving this is equal to $49 plus $38 plus $27 minus $494 upon 500 which is equal to minus $380 upon 500 that is equal to minus $0.76. So the expected value of this example if you buy one ticket is equal to minus $0.76. So in this session we have discussed how to find the expected payoff for a game of chance and this completes our session hope you all have enjoyed the session.


Okay, so I will continue what we started this morning. So this is the model I presented. So U is a fixed direction, then you have the VI-R-1 plus Gaussian noise, and you are revealing a fraction of the information. I define though, since I had a question on this, all the plots are for this quantity, what I'm calling the base risk, where the statistician knows everything about the parameter of the model, knows the models, and the statistician does not have any constraint in terms of resources in computation or anything, so he's able to compute this here over all the possible estimator. Okay, so this is okay. And again, the risk, it's not measured on the training set, but it's on the test set. And to model this, I'm sampling a new sample with the same distribution, but it has not been seen by the algorithm before. Okay. So all the, you obtain, we describe it basically two algorithms. The first one is the oracle where you are given in addition the direction U on the fully supervised case where you see all the labels corresponding to the case eta equals one for me. And you see that for both cases, what we did is we took a specific algorithm and we computed the performance of this algorithm. Okay. It's not clear a priori that the performance of this algorithm is actually optimal. Okay, so there is a gap here. And in the rest of my lectures, actually, I will not concentrate on algorithm, but directly compute the best possible achievable performance. So what people call information theoretic limits for such in such setting. So my analysis will not be directly connected to a particular algorithm. Although for the presentation, it's easier to present an algorithm and to give you what is the performance of this algorithm. And in both cases, it turns out that this algorithm are optimal. So here is the general formula on the plots. Again, this is the risk evaluated on the test set, not on the train. So this is for this is why, for example, in the supervised algorithm on the label data only is performing worse than unsupervised setting with in the small label data regime. So it's, there should be no contradiction. Any question on on these two plots before I'm going on. I don't know if there are people in the chat but I am not monitoring the chat so. Okay. Yes. Yes. Is it possible that the supervised one is what do you mean by overfitting. Yes, so, so basically it means that the test set is minimized but for the training set. It's a, it's poorly generalized. It's what it's poorly generalized the supervised one. I mean, I'm not sure I understand your question correctly. My, my, my measure of performance is it's, it's on the test set. Yeah. So I'm taking the infimum. This is the best possible generation error you can get. So there is no notion of overfitting. I mean, it's not related to any algorithm did my plot. Yeah, it's. But then what would happen if you change the alpha. It will change. Okay. You see that for example, the value here of one, where you have the back then I was paying a fee of a transition I told you, this will change. Okay. So this, but the general picture will be a global is the same you will risk it as things. Thank you. Thanks. Is there any.  So since I have three parameters I need to fix some of them in order to do. So this is why I choose alpha equals one but there is no special property of this one alpha being one. So I will, I will try to convince you that this weird mathematical formula to give you a little bit of intuition behind it. In a non rigorous way. And in the rest of my lecture, I will look at a simpler model, but give the details of the mathematical proofs. If you want to do a non rigorous both you need to make assumption that will allow you to do easy computation. And the main assumption that is not easy to show at least directly is a kind of concentration result. So, again, the two algorithms we saw are basically based on you. First get an estimate of the new direction in the record it's given for free in the other one you are averaging. And then based on this best possible estimation of you, you, you get the best estimation for the new label. So the best estimate for you is actually the mean of you condition on what you are seeing those data why on the side information. And the best estimate of these the same thing condition on why on us. Okay. So what we will assume is that when in the regime where and the number of samples and the dimension is turning to infinity. The correlation, the cross between this quantity, which is a random variable of depending on why on us. Converse to a parameter which is between zero and one. Okay, so this is a scalar product this is a scalar. We are averaging a lot of quantities. Unfortunately, there are not ideas or you cannot assume that there is a low flat number with a trivial results, but you are still making the assumption that it will concentrate towards a fixed value that is not random. Okay, so two stars of a few here. This is a number which depend only on the parameter of the problem between zero and one. So this is an assumption we are making on. There is a symmetric assumption on V. So for V, since you have plus and minus one. This is the product. This is the product you have roughly and term of order one so you need to rest it by one over and order to to to hope for a concentration result. Okay, so this is why there is a one over and here, there is no rescaling here because you are on the unit sphere. So basically when the dimension is increasing, you are shrinking all the component of you. So this is basically the only assumption we make. And actually, though I have no proof for that, but if you are making this assumption, the rest of my argument can probably be made a rigorous quite easily. Unfortunately, we are not able to prove this directly. I will show you how we proceed with more mathematical details later. The first consequence of your assumption is, you know that the norm of this random vector, again, this is a vector depending on why on the site information is exactly the same. So the quality, it's basically based rules, we'll see it later if you are not convinced. So the, the norm of this vector is basically the same since you, you expect this random quantity to convert to something the expectation will convert to the same thing. So it should be roughly as the order q star of you. Now you do exactly as in the oracle algorithm you take your best estimate for you and for any sample in your data set. You, you can take the scalar product of your best estimate you bar with what you are seeing and you obtain this equation. So here, by my assumption is converging to a scalar q star of you. So you see that it's q star of you, so you are rescaling the signal vi is a plus or minus one. And then you have this new noise term. Okay, so in order to, to analyze this, you need to compute the variance of this, this, this noise term. So again, I'm not rigorous here but you, you, you expect to have that the I will not impact much the expect value of few. So this should be a roughly a Gaussian random variable with the variance being the norm of the vector you over here the number of the vector you is q star of you. Okay, so this is Gaussian centered Gaussian with variance q star of you. Now you end up with. So you see that here you are dealing with scalar. So you started with a bunch of equation in dimension D by projecting everything on you start you end up with only a scalar equation, which is very simple and it has a following form. So this is what people call in information theory, a channel where you have a signal, which is the square root of gamma times V plus additive noise, and you are observing the output, you want to have a guess on the, on the signal. Okay.  Now, if you know a little bit about information theory. You are actually a basic statistic here. You want, if you want to, to minimize mean square error for the evaluation of again the estimator of V. This is just the expectation of the knowing the output. Okay. And I'm denoting the minimum mean square error. So this, this is an explicit function of gamma, there is only one parameter here. These plus or minus one with 41 half on the variance of the noise is one. Okay, so there is only one parameter so the mean square error, the minimum mean square error is given by basis. Is it clear. So this is perhaps a weird function but it does exist. Okay, here you see that the variance of my nose is one though to go from this equation to this one I need just to rescale the my equation in order to get a variance one for the noise. So this is done by this restrict rescaling. You see that you have the best possible estimator though again in terms of mean square error and this is a mean square error that we will use during this course and I will explain why in a moment. So this is achieved by taking this expectation, this conditional conditional expectation and you have an explicit formula for the, the, the associated mean square error. Okay, which she's with this weird function that I'm calling MMSC of. Is it clear or okay. Yes. It's just for notation purpose so sorry. But gamma is just a parameter of my, I mean, I'm taking swear word of gamma because it makes more sense. I mean, you can take gamma as soon as it's positive it's okay. So this is what I said very quickly here you see that I have a parameter in front of my signal vi and there is this is not a Gaussian, a standard Gaussian random variable. This is a Gaussian random variable with this variance. So if it's with this channel, I need to rescale my nose in order to get a variance of one. So this is what I'm doing here I'm rescaling by Sima square root of q star of you, in order to to end up with. I mean this is the main reason why I'm ensuring square root of gamma this is because I have square root of a quantity here though I want to write the quantity itself. So gamma is q star of you divided by Sima square. Okay, so now, assuming that this is a sufficient statistic for estimating the highest component of of vi. So we will replace it in this will compute the mean square error in another way. So the mean square error is just there you are making an estimate of the this is this formula. And I'm decomposing those in this time you have the label data for the label data you will have no loss of information okay so this difference is zero. So I'm giving you the vi, you are placing but the true value, so it's zero so the only contribution in this mean square error are due to the unlabeled data. Okay. And remember that the site information is si and when si equals zero. This means that si is not plus or minus one. So this is the, the, the, the unobserved label of the data. So I'm, I'm just saying okay this, the, the, what I computed is actually the true. So what I computed here in this channel is actually the true. Conditional expectation of the, so I'm replacing the here and I'm cheating a little bit in this equity here. And I'm computing now this quantity it's given by this one over here. So it's one over N the sum only on the unlabeled data on my weird mmsc function with my particular gamma. So since I have a fraction one minus eight of unlabeled data this is one minus eight times mmsc. Okay. Now, again, I did not use the assumption I made on, on, on, on V bar so remember that V bar is at the top here. So the small, the, the, the modification I made is that I say that my V at is equal to this. So I'm computing the true condition expectation with my with this formula. So here, I'm using the assumption I'm making on the conditional expectation of V. So this is exactly the same argument as what I did before for the norm of few. You can show that basically I'm making this assumption, which implies that the norm of the artist also Q star of V. So again Q star of V is not random. So when you are replacing this equation in the last part over there, you obtain that one minus Q star of V which is exactly the mean of this is equal to the right part over there. So you end up with, I did compute the mean square error for my estimate of V in two different ways. Okay. So I end up with two, two different expression one in terms of Q star of V one in terms of Q star of you. So the two should be equal and this is the first equality between to start on you and to start. Okay. Now, the, the problem is completely symmetric so I will probably go faster on this. I'm doing basically the same thing. On the instead of starting with a U vector and starting with the V vector with estimate of V. I'm doing exactly the same thing as before I will end up with a scalar channel again, which is of this form. There is one difference, the general formula for the channel is basically the same. There is one main difference with previous one is now you hear it's not the plus minus one. It's a Gaussian random centered Gaussian random variable. Okay. So now when you will compute the mean square minimum mean square error for this channel it will not be the same as the previous one because you do not have the same prior on the sign up signal. And indeed, in this particular case where both the signal is a Gaussian random variable and the noise is a Gaussian random variable. This is what is the first channel you study in information theory in a course in information theory. And you can compute everything explicitly. So now you again, your best estimator is a conditional expectation. Minimum mean square error which was a weird function that I did not explicit before it's fully explicit now, and it's very simple function of the gamma parameter. Okay, so if you are familiar with information theory this is a very standard result. And again, I'm doing I'm doing exactly the same assumption as what we did with the V vector, which was a you vector here so I'm on the go with one expression on for the mean square error of my estimator. I'm doing the same thing as before and I'm ending up with a new equation related q star of you and q star of V. But now this MMSE of you is much simpler than the one before when I'm putting everything together and up with two equation with two unknown. So this is the first computation we did with, again, this is an explicit formula but it's long, quite long to write. And this is, this has the second equation here is hidden. It has the same for the first one but the MMSE function is explicit now. Okay. If you are making the assumption that on the conditional expectation at the beginning, converging to the q star of you and q star of V, then you should be convinced that this parameter. So again, these are scalar now should satisfy this fixed point equation. Now, the last part is, okay, try to translate this fixed point equation into performance measure for the empirical risk. And again, we do the same trick as what we did with the oracle algorithm. Since we have access to the best possible estimator with this U bar. You take the scalar product of your new sample with this U bar you obtain, you go from a vector equation to a scalar one, which is much easier to to analyze what you do this is always a scalar channel with additive Gaussian noise. What you need to be careful about is what is the prior on the semial. So here's the prior, again, it's a discrete distribution with plus minus one, pre scale by this parameter. And you, you end up with your best estimator is a sign of your cross dot product between you bar and why you remember that in the oracle you had access to the real you but so you end up with a formula like this. Okay. And for the it's almost like in my, my claim here. Oops. So you see that it has exactly this form. But the definition of the superstar is not the same. Here I did define the superstar as a solution of a fixed point equation. So there was a q star of u and q star of v, and I had two equation. So if you want to connect the fixed point equation to this weird function here, you need to do a little bit more of mass. Okay, so this is a fixed point equation. Basically, you need to show that the solution of the fixed point equation correspond to the optimum of my F function. And this is done by what is called in information theories, I am emacy theorem. So again, we will see that in more detail, a little bit later. So what we need to remember here is that if you compute the mutual information of the scalar channel, I just show you this mutual information is connected to the minimum mean square error that I computed, namely, here I'm computing the derivative of this. So you see this mutual information as a function only of the gamma parameter. I'm taking the derivative of this function with respect to gamma give you as a minimum mean square error. After one half. Okay, perhaps there is a one half missing. Yes, but no. So you can, you can check that the function I gave you is indeed the mutual information of the corresponding channel so that when you take the derivative you will end up with an emacy equation on q star of shoe is a unique minimizer of this function. And you end up with the result of the theorem. So, at least if you only care about an explicit formula for such type of problem, this type of argument will give you an analytic solution. So, if you want a proof, unfortunately, we, as I said, we are not able and I don't think there is any easy way to show the main assumption I took at the beginning, the concentration result. So, what we did the concentration result are more consequence of the final formula. And what we did with Leo Moulin is basically directly computing the limit of the mutual information. And from this, you will obtain all the subsequent results that I show you here. So here you see that a posteriori you can check that the main assumption concentration of the overlap. It's called a physical sample from the posterior times you will concentrate to to a scholar is a byproduct of for both but we are not able to show it in an easy way directly. In other words, once if you are able to. We need to prove everything before in order to end up with the concentration result. Here I cheated quite a bit because I started with this concentration result and then show you that it follows the formula for law if you are making this assumption. Okay, I guess I will, I will skip that. To, to the proof so I will switch to, so I have seen a 15 minutes like something like that. To the blackboard, I want to start. Is there any question on this before I stop. Yeah. What's the problem with the concentration hypothesis at the, but it's a problem. Because I don't know how to prove it. Why is not a reasonable. No, it's, it's, it's more than reasonable because it's true. So, in the end, I'm showing it, but if you want the way I'm doing my proof, I'm proving everything before and I'm, I'm, I'm in the last point is to prove the concentration results that I started with here. So if you, so if you have, I don't know if you come up with a very simple argument showing this concentration result first then all the rest will follow quite easy. So in a sense, I think that this concentration result contains all the information you need to know about the, about your, about your, this is the most difficult part if you want of the proof. This is more physical. I don't know if Jean will agree with that. But okay, thanks. So it's okay, I can move on to the further technical parts, what I had in mind is to start with some tools in Beijing in France. So this is what we'll do. We'll start today and we continue probably tomorrow. So today and tomorrow, on the first course of tomorrow, we'll concentrate on this on a very simple model where there's probably a minimum square error and so on, basically all the concepts I showed you here in the general setting. This, I mean, this is probably the most important part of the lecture because these are, if you are not familiar with, with them these are kind of basic results in statistics, and then I will move on to the lateratic limits for the spike beginner model. And show you how to use these tools in this particular setting, which is a little bit simpler than the semi supervisor. So I will give you a proof on then some application of this result also connected. So Laurent might will speak out today on community detection for the stochastic block model. So a random graph model to PCA on the then perhaps if I have time I will speak about another application of random matrices at the very end of my talk. Okay, so let's start with the tools in in in a Bayesian inference. So I will start with, as you see, there is a model I really liked. I'm underlying because this means that I'm considering vectors instead of colors, and I'm taking a capital letter for random variables. So this is what we just saw. So X as a prior distribution P of X over RN. We will assume that as a finite second moment, and that's it, and then the Z ID on this is independent of X. You want the covariance matrix is identity. So the parameter lambda is a single to know is ratio. Also in this part of the course I will introduce the basic vocabulary that is used both in statistic information theory related to my model. Okay, when people say we're in the base optimal setting. This means that the statistician knows everything. So the model, the prior P of X and lambda. Okay, so this is a setting. You are in dimension and nothing is standing to infinity for the moment. So now you need to define a measure of performance. So, as you saw, I like the mean square error. And you will see later why. So the mean square of an estimator data is. Okay, so this is also a vector. So any measurable function of the Y. So this, this is true for any estimator you are given to me on the minimum mean square error. It does not depend on a particular estimator, but it only depend. Typically we put explicitly the dependency lambda but it also depend on pure fix. So by definition, the minimum of all the data at the mean square. So what is what is the function achieving the minimum here. Yes, the conditional mean of X given Y. Okay. So this is just by Pythagorean theorem. And we will be interested, not only in the posterior mean, but in the posterior distribution. Okay, of X given Y. If you allow me to write it like that. So again, I hope I'm in the notation here, please, please ask me, so this is proportional to So this small X is for a particular realization of the random variable, right. Okay. So this is a function of the small X here, which is the density of the prior issue want to be because, and then I'm under this. I mean, I need to encode the fact that the additive noise. So this is minus from that X. Okay, so what is very simple is to compute the posterior of Y given X. This is basically given here. I want the opposite the posterior of X given Y so I'm basically applying base role, I look at the joint distribution. Now to, to get, so you get, let's go DP X knowing why this is just okay. I'm marginalizing the Y. And I have a normalizing constant here to get a distribution with mass one. And this comes from just this equation where I remove the Y square. I mean, the part that depends on the Y, I'm marginalizing it. And this Z, which is called the partition function. I will sit here. This is just the integral of the numerator. I will introduce a new notation. The name is Hamiltonian h of lambda Y X is equal to this term. So this is a random term, the Y is random. I will also write it like this. This is Hamiltonian. Okay, so here, what I did I just change the Y by expression in function of big X on Z. Okay. So it, I mean, the notation is perhaps a bit weird because here I'm making the explicit dependency in Y and the Y disappears in this expression. We need to be a bit careful. But in any case, this is a random function of small X. And we'll introduce an important notation for the expectation with respect to this posterior.  I think it's not like this. So this, I mean, this is only a notation, but it's very important. This bracket, so I will not use a bracket to define the standard again dot product. Okay, you need to find another symbol. This bracket is just when you are taking expectation with respect to this random variable. This I mean there is an expectation but it's still on them. No, no, it's not. It's a condition on why so it's random. You need to take another expectation if you want to do something. So it's knowing big way. So why? You do not agree with this notation. Yes, you can put it like that if you if you want. So I mean the explicit formula you can write it like this is one over on here you. But you see I'm making this appearing the index. So here's a why it's not explicit anymore here. Actually I'm removing it here too. But it's completely correct that it depends on why that's fixed and then you have the Hamiltonian. Okay, so this is a meaning of this. This is a short notation for this. Is there any question on this? I'm done indeed. I think, okay. I need just one minute to define a new entity. Yeah, which one's this one. Okay, so what I'm saying is that what is easy to get. What is given is a prior of X. Given X it's easy to define the distribution of why why knowing X. So I'm saying that the couple, the law of the couple X and Y is used the product of these two of px times the conditional. This is a conditional law of why given X. So you need to get the other computing the, the, the it's proportional to this quantity and then you need to renormalize it if you want to get a probability. Now, in order to get this formula you need to, to take the condition with respect to the Y. So you need to, to remove the dependency in why here. So this is exactly what I'm doing here, but now I'm expected with with with normalization. So we end this part with one definition with a property. Again, F of lambda is the expectation of the log partition function. So again, why is random this is random and taking the log. So this is the free energy and we have F of lambda. Okay. So, I mean, people doing statistical physics are probably familiar with this notation and to not be surprised with this formula to, there is a energy term here on the non tropy one, which is a mutual information over there. And it's probably a good time to stop on to leave you as an exercise the proof of this formula. And we'll start again tomorrow with that. The German. Yes. Yes, it's a. Is there any question, except the proof of this fact. I'm going to make sure not kind of clear. Okay, thanks.


Hey guys, Shabir here. We've got all the paint work done on the boat. Now I've got to put the seats back in, everything back on it. I've got to put the top on it, Bimini top on it. So I do have the motor back on. Got to get that motor on there, right? We're wanting to take it out tomorrow for a little bit, so I want to try to get everything. I don't know if I can or not, but we want to try to get everything back together today. We don't have the carpe yet, and of course we don't have the seats done yet, but that can all be done later. This stuff had to be done now. It's done now. We can start putting them back together. So I thought I'd bring it along with some of this. So let's get started on the boat. OK, so we're going to put these eyes back on here. This is for the Bimini top for the straps that come down. Now, as you can see, someone used decking screws, wood screws. So I'm going to try to see if these are long enough. I got these self-tappers. So those should be what we need. So let's go ahead and try to put a couple of these in here and see if they'll work. Those should do it. If not, our worst comes worst as we were wrong. Yeah, very nice. All right, I'm going to put the other three on, then we'll put the top on together. OK, guys, let's try to get these put in there. I don't have my helper here today. She's at work. So I don't know if these screws will be long enough. I'm after you. Yeah, that'll work. And we're going to go to the other side. Yeah, that's going to work. We'll flip this back. And I forgot my screws. All right, we'll go ahead and put one in here. Now, our top is ready. Put that in there.  See what it looks like. It's that top. I think I mentioned it before. It's actually backwards. But if you flip it back, it covers that motor. It'll cover the motors. So it has to be put on that way. And then we just flip it forward whenever we have to put it down to go under a bridge or something. So all right, now we'll tighten these up. They're not in there, or they're not tightened up. I just stuck them there. And we'll get these tightened up. And then we'll put some switches. I got some wire loom to run this wire down the side. I got 15 foot, this 14 foot boat. So I should have enough. So let me get a wrench, and we'll get these tightened up. All right, then I got to get the horn bolted on here right here. But first thing I got to do with that horn is quit working. So figure out what quit working. I keep these loose, so when I put the top on, I can flip them down. That one needs loosened up a little bit more, but I should have grabbed a ratchet wrench. Wasn't thinking. So I'm going to tighten these up. And then we'll put the switches in the back. All right, so we got these on. Usually, if I'm on the river, I'll keep one kind of pointed down a little bit to the water and one up a little bit. Because sometimes there's tree branches, like half a tree will fall over. You've got to watch out for. But if I'm on the lake, I'll have them both pointed about right there, I want to see at least a couple hundred feet in front of me. You know what I mean? So all right, there we go. Now let's move to the switches. OK, so we're going to put. This is our fuse. We're going to put this in here. Can't see up under there.  All right, now I've got to get that tightened up. This one's a power wire, and it'll go into the center one. This one coming off here is the ground. So that'll just get clipped on there. But I've got to get it tightened first. And then these other ones, we're going these holes here like that. I don't know if you can see that or not. Switches there. All right, so now I'm going to go get a pair of pliers so I can tighten this up, then I'll get the other ones put in and I'll show you. OK, so I kind of had to mount that right there where I could because I don't have anything big enough to make that hole. So I'm going to have to get something to make a hole bigger for that. So let's go ahead and put this in. Now let's turn the nav lights on, see if they work. There it is. All right, so we've got that working. We've got our nav lights working, our red and green. We've got our headlights working. The nav lights and headlights work on their own switch. This is the headlights. So the headlights are out. I think I'm going to call it a day because it's a poster rain, and it sure looks like it. So there's our nav lights, and the one back there. And those ones up there, you can see them coming on and going off there. I have a bunch, like I said, I have wire loom. So I can put the wire loom over this. It's blue. And then I'll mount it, the wire loom, up under there like that. This needs to be all tied back up there so it's nice and neat. I wanted to get the seats in. We wanted to take it out tomorrow, so I don't know if we can or not. So I've still got a lot of work to do. I don't think I'm going to get it done today with the rain, but I'm going to keep trying. And this back here is all going to be hidden. Wires are going to come up in here, and they're going to be hidden up in there. That's for the horn. Like I said, I don't have a horn working, but that's not a big deal. I mean, we can take it out if we want to. There's nothing stopping us. We just got cleaned out and put the seats in. So that's not a big deal. I just kind of wanted to get everything done today except for the carpet. We don't have it yet. And we're going to get the seats redone. So there it is. It's getting closer. And I mounted them up here on top. Because if I put them on the sides, this always hits the dock. Because this boat sets low. So I put them up there on top. That one's a little crooked. I hit the rubber reel. The gun will go clear up in here, and I hit it there. That's not a big deal. So hopefully they'll be able to, if they're on one side or the other, I may put something up here. A piece of plastic to kind of cover it on both sides. If it looks like it's showing too much at the same time.  I mean, they drive like they're driving in cars.   You're supposed to drive on the other side. And that's why the green light's on this side, you know? So because when you're passing a boat, you're supposed to be on this side of them. But they're driving like they're driving a car, and they'll come up this side. Even at night, when they see the red light, they don't care. Idiots. So anyway, we got that done. That's all I'm going to do today. So it's kind of vlogging a little bit on this thing. So all I got to do is put the seats in, and we can take it out. It's not a big deal. I think she's wanting to take it out tomorrow evening. So hopefully, you know, I can at least get the seats in. We'll go from there. So, all right, guys, thanks for watching. Thanks for watching my vlog. And what I like about this, the slight, you know, you just loosen that quarter turn, and it comes out. You lay it down here. I usually put it underneath the seat. I also have a battery-powered one in there that I will keep under the seat, just in case. Then it's done. And then you put your little water, keep the water out of it, just like that. So yeah, so what I've got to do, I've got to make a hole here. It's got to be a pretty good size hole. I don't have any bits big enough to go in there, so I'm not, I mean, this will work. I don't like that sticking out like that, but here comes the rain. So anyway, that'll work. So, all right, again, thanks for watching, guys. Appreciate it. I got to get this stuff picked up before it rains too hard, so we'll see you guys in the next one. Thanks again for watching. Bye-bye, guys, and take care.