Question: Two cards are drawn at random from the ordinary deck of cards. Let X be the number of aces and let Y be the number

Two cards are drawn at random from the ordinary deck of cards. Let X be the number of aces and let Y be the number of hearts obtained. (i) Find the joint probability function of (X, Y ). (ii) Find the marginal distribution of X and Y . (iii) Are X and Y independent?

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