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john is being dealt a five-card poker hand from a well-shuffled, standard deck of cards. The first three cards that he is dealt are 4

john is being dealt a five-card poker hand from a well-shuffled, standard deck of cards. The first three cards that he is dealt are 4 , K, and K. What is the probability that he will be dealt a full house? (Recall that a full house is two cards that form a pair and three cards that form a 3-of-a-kind, AND necessarily, of course, the pair and the 3-of-a-kind are of different ranks).

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