a. How many cards must be chosen from a standard deck of 52 cards to guarantee that at least two of four aces (A) are chosen?

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There are 4 aces in a standard deck of 52 cards. Then

$52-4+2=50$

50 cards must be chosen from a standard deck of 52 cards to guarantee that at least two of four aces (A) are chosen.

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Question ID: mtid-5-stid-8-sqid-718-qpid-603