12. A deck of 52 cards is shuffled and a bridge hand of 13 cards is dealt...

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12. A deck of 52 cards is shuffled and a bridge hand of 13 cards is dealt out. Let X and Y denote, respectively, the number of aces and the number of spades in the dealt hand.

(a) Show that X and Y are uncorrelated.

(b) Are they independent?

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