A void suit in bridge

A bridge hand is 13 cards dealt from a 52-card deck. What is the probability the hand is void in at least one suit (has no cards of some suit)? (to 3 decimals)

Show hints (2)+
  1. Use inclusion–exclusion over which suit is missing.
  2. P(miss a given suit) = C(39,13)/C(52,13).

Answer

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0.051 (± 0.005)

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