Question: Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X

Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks. Find 1. the joint probability distribution of X and Y;

2. P[(X, Y) ∈ A], where A is the region given by {(x, y) | x + y ≥ 2}.

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