Exactly one ace in three draws

Three cards are drawn without replacement from a standard 52-card deck. What is the probability that exactly one of them is an ace? Give a decimal to four places.

Show hints (2)+
  1. Use combinations: choose 1 of 4 aces and 2 of 48 non-aces, over (523)\binom{52}{3}.
  2. "Exactly one" allows the ace in any of the three positions - don't fix it first.

Answer

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0.2042 (± 0.005)

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Asked at: EV & Betting Games, Options Market-Making

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