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7) Five cards are drawn from a standard deck of cards (52 cards, 4 suits, and 13 ranks) without replacement. a) (10 points) Let X

7) Five cards are drawn from a standard deck of cards (52 cards, 4 suits, and 13 ranks) without replacement. a) (10 points) Let X be the number of sevens drawn and let Y be the number of Jacks. Determine the joint probability function, f (x, y). b) What is the probability of drawing five cards that contains neither sevens nor Jacks? c) Calculate the probability of getting a full house with sevens and Jacks. (A full house is a five-card hand that consists of three cards of one rank and two cards of another rank.)

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