PUMaC 2024 · 组合（B 组） · 第 2 题

PUMaC 2024 — Combinatorics (Division B) — Problem 2

Ben and Connor are playing a game of wallball. The first player to lead by 2 points wins 3 the game. Suppose Ben wins each point with probability and is gracious enough to allow 4 m Connor to start with a 1 point lead. The probability that Ben wins the game is for coprime n positive integers m and n . What is m + n ?

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