All four aces before any king

A standard 52-card deck is shuffled. What is the probability that all four aces appear before the first king? (to 4 decimals)

Show hints (2)+
  1. Only the eight aces and kings matter; they're in uniform relative order.
  2. Favorable = aces in the first four of eight honor slots: 1 / C(8,4).

Answer

Reveal answer →

0.0143 (± 0.0005)

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

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