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Twenty problems in probability - math.ucdavis.edu

1 Twenty problems in probabilityThis section is a selection of famous probability puzzles, job interview questions (most high-tech companies ask their applicants math questions) and math competition problems . Someproblems are easy, some are very hard, but each is interesting in some way. Almost all problemsI have heard from other people or found elsewhere. I am acknowledging the source, or a partialsource, in square brackets, but it is not necessarily the original should be reminded that all random choices (unless otherwise specified) are such thatall possibilities are equally likely, and different choiceswithin the same context are by defaultindependent.

between Alice and Bob so that Alice’s winning probability is exactly α. The game of course has to end in a finite number of tosses with probability 1. 12. [Putnam Exam] ... when the walker is at i for the first time, all other points have been previously visited, i.e., that i is the last new point. For example, p0 = 0. 14. [R.

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