Question #110325

How many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same suit are chosen?

Expert's answer

There are four suit in a standard card pack. When cards are taken randomly, 9 cards should be taken to guarantee that at least three cards of the same suit. Because worst case is that 8 card are taken as 2 each by those four suits.However 9th card should be complete the 3 for one of the suit.So the answer is 9 cards.

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