elemprob-fall2010-page19

elemprob-fall2010-page19 - rank that we have 4 of and then...

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Unformatted text preview: rank that we have 4 of and then 12 ways to pick the rank we have one of, so the answer is 44 41 13 · 12 . 52 5 An example. What is the probability that in a poker hand we get exactly 3 of a kind (and he other two cards are of different ranks)? Answer: The probability of 3 aces, 1 king and 1 queen is 52 . We have 13 choices for the rank we have 3 of and 5 the other two ranks, so the answer is 13 12 2 4 3 19 4 1 52 5 4 1 . 4 3 12 2 4 1 4 1 choices for ...
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