Face card or heart

Draw one card from a standard 52-card deck. What is the probability it is a face card (Jack, Queen, or King) or a heart? Give a decimal to four places.

Show hints (2)+
  1. There are 12 face cards (J/Q/K × 4 suits), not 3.
  2. Inclusion–exclusion: subtract the 3 heart face cards counted twice.

Answer

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0.4231 (± 0.005)

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Asked at: Timed Mental-Math & Sequences, Options Market-Making

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