medium   Probability

Void Suits

A release-checked medium problem for training Inclusion-Exclusion, Cards.

Question

A casino deals deals you $13$ cards from a standard deck of $52$ cards. We say that a hand is void of a suit if it has no cards from that suit. Compute the probability that you are void in at least one suit. Round your answer the nearest thousandth.

Practice focus

This Probability problem is tagged Inclusion-Exclusion, Cards. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.

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