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In: Statistics and Probability

A five-card poker hand dealt from a standard 52-card deck of playing cards is called a...

A five-card poker hand dealt from a standard 52-card deck of playing cards is called a three-of-a-kind hand if it contains exactly three cards of the same rank (e.g. 3 aces and 2 other cards). How many distinct three-of-a-kind hands can be dealt with? Calculate a numeric answer.

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Expert Solution

Total distinct hands = 13C1 * 12C2 * 4C3 * 4C1 * 4C1 = 13 * 66 * 4 * 4 * 4 = 54912 (ans)

                                                                                                                                                                                                                                

orchestra answered 2 years ago
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