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MathNet 2015-part-07 — 185 problems (EN–VI) Question 44

Math Olympiad Vault · MathNet 2015-part-07 — 185 problems (EN–VI)

Question 44

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?