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Cards from an ordinary deck are turned face up one

Cards from an ordinary deck are turned face up one at a time. Compute the expected number of cards that need to be turned face up in order to obtain

(a) 2 aces;

(b) 5 spades;

(c) All 13 hearts.

(a) 2 aces;

(b) 5 spades;

(c) All 13 hearts.

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