Transcription of Twenty problems in probability - math.ucdavis.edu
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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. Recall also that aneven beton the amountxon an event means a correct guesswins youx, while an incorrect guess means loss of the same [P.]
then computed as follows: 32 points for correctly predicting the final winner, 16 points for each correct finalist, and so on, down to 1 point for every correctly predicted winner for the first ... Exhibit a stategy for which the probability of being correct is 1/2 + , for some > 0. This may depend on the distribution of (X,Y ), but your ...
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