The two black aces, side by side

A standard 52-card deck is shuffled uniformly at random. What is the probability the ace of spades and the ace of clubs end up adjacent? Give a decimal to four places.

Show hints (2)+
  1. Glue the two cards into a single block.
  2. 2⋅51!52!=252\tfrac{2\cdot 51!}{52!} = \tfrac{2}{52}.

Answer

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0.0385 (± 0.001)

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