What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?
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This is given by the combination formula C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial. For a standard deck of 52 cards, the total number of five-card hands is C(52, 5) = 2,598,960. Show more…
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