Question: Two cards are drawn without replacement from an ordinary deck. Let X be the number of aces, Y be the number of red cards, and

Two cards are drawn without replacement from an ordinary deck. Let X be the number of aces, Y be the number of red cards, and Z be the number of hearts. Find: (i) The joint distribution of (X, Y, Z). (ii) P{Y = Z}. (iii) The conditional distribution of Z given Y = y.

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