You start with $1 and a friend with $N, flipping a fair coin for the shorter stack each round. You rebuy for $1 when broke, and the game ends when your friend is broke. What do you expect to make?
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You start with $1 and a friend with $N. Each round a fair coin is flipped for the amount of the shorter stack. Whenever you go broke you buy back in for $1; when your friend goes broke the game ends. (a) Expected number of rounds? (b) Your expected profit? (c) Expected number of buy-ins for large N?
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