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MathNet 2022-part-06 — 196 problems (EN–VI) Question 103

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 103

A jar contains 8 red balls and 2 blue balls. Every minute, a ball is randomly removed. The probability that there exists a time during this process where there are more blue balls than red balls in the jar can be expressed as $\frac{a}{b}$ for relatively prime integers $a$ and $b$. Compute $100 a+b$.