{"action":"closed","issue":{"url":"https://api.github.com/repos/Khan/khan-exercises/issues/124122","labels_url":"https://api.github.com/repos/Khan/khan-exercises/issues/124122/labels{/name}","comments_url":"https://api.github.com/repos/Khan/khan-exercises/issues/124122/comments","events_url":"https://api.github.com/repos/Khan/khan-exercises/issues/124122/events","html_url":"https://github.com/Khan/khan-exercises/issues/124122","id":23120560,"number":124122,"title":"Expected value - at least a 2","user":{"login":"KhanBugz","id":924247,"avatar_url":"https://avatars.githubusercontent.com/u/924247?v=3","gravatar_id":"","url":"https://api.github.com/users/KhanBugz","html_url":"https://github.com/KhanBugz","followers_url":"https://api.github.com/users/KhanBugz/followers","following_url":"https://api.github.com/users/KhanBugz/following{/other_user}","gists_url":"https://api.github.com/users/KhanBugz/gists{/gist_id}","starred_url":"https://api.github.com/users/KhanBugz/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/KhanBugz/subscriptions","organizations_url":"https://api.github.com/users/KhanBugz/orgs","repos_url":"https://api.github.com/users/KhanBugz/repos","events_url":"https://api.github.com/users/KhanBugz/events{/privacy}","received_events_url":"https://api.github.com/users/KhanBugz/received_events","type":"User","site_admin":false},"labels":[{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/500k","name":"500k","color":"0052cc"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/chrome","name":"chrome","color":"e102d8"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/scratchpad","name":"scratchpad","color":"DDDDDD"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/win7","name":"win7","color":"ededed"},{"url":"https://api.github.com/repos/Khan/khan-exercises/labels/wrong-or-unclear","name":"wrong-or-unclear","color":"FFA500"}],"state":"closed","locked":false,"assignee":null,"milestone":null,"comments":0,"created_at":"2013-11-22T06:42:39Z","updated_at":"2015-11-20T07:45:15Z","closed_at":"2015-11-20T07:45:15Z","body":"The question states: you get to roll a ten sided die, and if you roll at least a 2, you make 8 dollars. At least a 2 means a 1 or a 2 which is 2/10. It is not clear at all how there is a 9/10 chance that you will roll a 1 or a 2?\n\n[expected_value.html?seed=140&problem=game](http://sandcastle.kasandbox.org/media/castles/Khan:master/exercises/expected_value.html?seed=140&problem=game&debug&lang=en)\n\n[Answer timeline](http://sandcastle.kasandbox.org/media/castles/Khan:master/exercises/expected_value.html?seed=140&problem=game&debug&lang=en&activity=%5B%5B%22incorrect-activity%22%2C%22%5B%5C%22-6.40%5C%22%5D%22%2C98%5D%2C%5B%22hint-activity%22%2C%220%22%2C4%5D%2C%5B%22hint-activity%22%2C%220%22%2C0%5D%2C%5B%22hint-activity%22%2C%220%22%2C0%5D%2C%5B%22hint-activity%22%2C%220%22%2C0%5D%2C%5B%22hint-activity%22%2C%220%22%2C0%5D%2C%5B%22hint-activity%22%2C%220%22%2C0%5D%2C%5B%22hint-activity%22%2C%220%22%2C25%5D%5D)\n\n    [[\"-6.40\"]]\n\nLocale: en\n\nUser hash: 1530413072\n\nMozilla/5.0 (Windows NT 6.1; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/31.0.1650.57 Safari/537.36\n\nMathJax is loaded, ready, queue length: 0\n\n\n\nstart of log\nloadModule mod /khan-exercises/utils/answer-types.js\nloadModule mod /khan-exercises/utils/tmpl.js\nloadModule mod /khan-exercises/utils/tex.js\nloadModule mod /khan-exercises/utils/jquery.adhesion.js\nloadModule mod /khan-exercises/utils/calculator.js\nloadModule mod /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-9e2776ffe7d2006f16f36d0d55d9464b\nloadScript loading /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-9e2776ffe7d2006f16f36d0d55d9464b\nstartTask...\nstartTask got task expected_value\nloadScript loaded /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-9e2776ffe7d2006f16f36d0d55d9464b\nrenderExerciseTask expected_value\nloading and rendering expected_value\nloadExercise start expected_value.html\nloadExercise got expected_value.html\nloadExercise submod math\nloadModule mod /khan-exercises/utils/math.js\nloadModule mod /khan-exercises/utils/../third_party/raphael.js\nloadExercise submod word-problems\nloadModule mod /khan-exercises/utils/word-problems.js\nloadExercise submod math-format\nloadModule mod /khan-exercises/utils/math-format.js\nloadModule mod /khan-exercises/utils/expressions.js\nloadExercise submod answer-types\nloadExercise submod tmpl\nloadExercise submod tex\nloadExercise submod jquery.adhesion\nloadExercise submod calculator\nloadExercise submod /khan-exercises/third_party/MathJax/2.1/MathJax.js?config=KAthJax-9e2776ffe7d2006f16f36d0d55d9464b\nloadExercise finish expected_value.html\nloaded expected_value, now rendering\nloadModule mod /khan-exercises/utils/scratchpad.js\nloadModule mod /khan-exercises/utils/../third_party/jquery.mobile.vmouse.js\nstart of makeProblem\nchose problem type and seed for expected_value\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\nrunning word-problemsLoad\nran word-problemsLoad\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\ndone with runModules\ndecided on answer type radio\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nvalidator created\nMathJax done typesetting ($5)\nMathJax done typesetting ($1800)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($1800)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($0)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (E = ($1800)\n                    (\\dfrac{1}{300}) + ($0) (1 - \\dfrac{1}{300}) =\n                    $ \\dfrac{1800}{300} =\n                    $6)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($6 -\n                    $5)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nloading and rendering expected_value\nloaded expected_value, now rendering\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for expected_value\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\nrunning word-problemsLoad\nran word-problemsLoad\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\ndone with runModules\ndecided on answer type multiple\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nvalidator created\nMathJax done typesetting ($)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($10)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($ -10)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((10\\cdot\\dfrac{1}{10}) +\n                        (-10\\cdot\\dfrac{9}{10}) =\n                        -\\dfrac{80}{10} = -$8.00\n                        .\n                    )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nloading and rendering expected_value\nloaded expected_value, now rendering\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for expected_value\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\nrunning word-problemsLoad\nran word-problemsLoad\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\ndone with runModules\ndecided on answer type number\nvalidator created\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nloading and rendering expected_value\nloaded expected_value, now rendering\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for expected_value\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\nrunning word-problemsLoad\nran word-problemsLoad\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\ndone with runModules\ndecided on answer type number\nvalidator created\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting (\\dfrac{1}{12}+\\dfrac{2}{12}+\\dfrac{3}{12}+\\cdots+\\dfrac{10}{12}+\\dfrac{11}{12}+\\dfrac{12}{12} =\n                        6 \\dfrac{1}{2})\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nloading and rendering expected_value\nloaded expected_value, now rendering\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\n(answer-typesCleanup not a fn; src undefined)\n(tmplCleanup not a fn; src undefined)\nrunning texCleanup\nran texCleanup\n(jquery.adhesionCleanup not a fn; src undefined)\n(calculatorCleanup not a fn; src undefined)\n(mathCleanup not a fn; src undefined)\n(../third_party/raphaelCleanup not a fn; src undefined)\n(word-problemsCleanup not a fn; src undefined)\n(math-formatCleanup not a fn; src undefined)\n(expressionsCleanup not a fn; src undefined)\nstart of makeProblem\nchose problem type and seed for expected_value\ncloned problem\ncloned global elements\nran tmplApply to vars and main elements\nran tmplApply to [id]\nremoved hints from DOM\nevaled inline scripts\nadded inline styles\n(answer-typesLoad not a fn; src undefined)\nrunning tmplLoad\nran tmplLoad\n(texLoad not a fn; src undefined)\n(jquery.adhesionLoad not a fn; src undefined)\n(calculatorLoad not a fn; src undefined)\n(mathLoad not a fn; src undefined)\n(../third_party/raphaelLoad not a fn; src undefined)\nrunning word-problemsLoad\nran word-problemsLoad\n(math-formatLoad not a fn; src undefined)\n(expressionsLoad not a fn; src undefined)\ndone with runModules Load\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\ndone with runModules\ndecided on answer type multiple\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\nvalidator created\nMathJax done typesetting ($)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($8)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ($ -10)\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)\n(answer-types not a fn; src undefined)\nrunning tmpl\nran tmpl\nrunning tex\nMathJax done typesetting ((8\\cdot\\dfrac{9}{10}) +\n                        (-10\\cdot\\dfrac{1}{10}) =\n                        \\dfrac{62}{10} = \n                        $6.20.\n                    )\nran tex\n(jquery.adhesion not a fn; src undefined)\n(calculator not a fn; src undefined)\n(math not a fn; src undefined)\n(../third_party/raphael not a fn; src undefined)\n(word-problems not a fn; src undefined)\n(math-format not a fn; src undefined)\n(expressions not a fn; src undefined)"}}