olymmath

HMMT 2015 C9

  • Combinatorics
  • Answer

Calvin has a bag containing 50 red balls, 50 blue balls, and 30 yellow balls. Given that after pulling out 65 balls at random (without replacement), he has pulled out 5 more red balls than blue balls, what is the probability that the next ball he pulls out is red?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{9}{26}

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