HMMT November 2010 F9
- General 2
- Answer
Newton and Leibniz are playing a game with a coin that comes up heads with probability . They take turns flipping the coin until one of them wins with Newton going first. Newton wins if he flips a heads and Leibniz wins if he flips a tails. Given that Newton and Leibniz each win the game half of the time, what is the probability ?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{3-\sqrt{5}}{2}
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