Five distinct ranks

A 5-card poker hand is dealt. What is the probability all five cards have distinct ranks (no pair, two pair, trips, etc.)? Give a decimal to four places.

Show hints (2)+
  1. Pick the five ranks, then a suit for each.
  2. Divide by (525)\binom{52}{5}.

Answer

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0.5071 (± 0.001)

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