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MathNet 2003 — Part 03 Question 17

Math Olympiad Vault · MathNet 2003 — Part 03

Question 17

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 $60\%$ chance of winning each point, what is the probability that he will win the game?