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HMMT 2003 C3

  • Combinatorics
  • Answer

Daniel and Scott are playing a game where a player wins as soon as he has two points more than his opponent. Both players start at par, and points are earned one at a time. If Daniel has a 60%60 \% chance of winning each point, what is the probability that he will win the game?

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 2003 F7.

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\frac{9}{13}

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