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You Walk Around a Large City Asking People at Random

Question 13

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You walk around a large city asking people at random whether they are born in the same month as you were, but you stop doing this if you ask 25 people without anyone saying yes. Let X be the number of people you ask before someone says yes. (Assume that birthdays are equally distributed among the months.) Find P(X=5) and P(X=25).

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