Exactly two aces in a bridge hand

From a well-shuffled standard 5252-card deck, 1313 cards are dealt. What is the probability the hand contains exactly two aces? Round to the nearest hundredth.

Show hints (2)+
  1. Hypergeometric: choose 22 of 44 aces and 1111 of 4848 non-aces.
  2. Divide (42)(4811)\binom{4}{2}\binom{48}{11} by (5213)\binom{52}{13}.

Answer

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0.21 (± 0.005)

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