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A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits (spades, hearts, diamonds, and clubs), such that there is exactly one card for any given rank and suit.

 

You are dealt a hand of 13 cards.  Find the probability that your hand has a void.  (Your hand has a void if it does not contain any cards of a particular suit.)

 

Once you've computed the answer in terms of binomial coefficients, use a calculator or computer to determine the answer to the nearest tenth of a percent, and enter that as your answer.

 
 Apr 13, 2025

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