251.Squash at Deuce
★★★markov chainsOptiver
You are level with your opponent at 9-9 in a squash game, and from here the game is won by whoever first leads by two points. You win any individual point with probability 0.3, independently of every other point. What is the probability that you win the game?
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From 9-9, look two points ahead. Any split of those two points returns you to a level score, which is the same position you started from.
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