The top two cards form a pair

A standard 5252-card deck is shuffled. What is the probability the top two cards have the same rank (a pair)?

Show hints (2)+
  1. Fix the top card; the second matches its rank with 33 of 5151 remaining.
  2. 3/51=1/173/51 = 1/17.

Answer

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0.0588 (± 0.001)

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Asked at: Jane Street, SIG

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