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A poker deck has 52 cards, with each card being of one of 4 suits and one of 13 denominations. Suppose that you are randomly

A poker deck has 52 cards, with each card being of one of 4 suits and one of 13 denominations. Suppose that you are randomly dealt 5 cards from the deck. What is the probability that you are dealt three of a kind; that is, what is the probability that you are dealt three cards of one denomination and two cards of different denominations (different from each other and different from the denomination of the three)? Show your work please step by step.

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