 If it is assumed that each of the matchboxes originally contained formula_1 matches, what is the probability that there are exactly formula_2 matches in the other box?Without loss of generality consider the case where the matchbox in his right pocket has an unlimited number of matches and let formula_3 be the number of matches removed from this one before the left one is found to be empty.When the left pocket is found to be empty, the man has chosen that pocket formula_4 times.