A Hand with a Void
A 13-card bridge hand is dealt uniformly at random from a standard 52-card deck. A void is a suit with no cards in the hand. What is the probability that the hand has at least one void? Give your answer as a decimal rounded to four places (the exact reduced fraction is also accepted).
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Source: Classic bridge-probability exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.