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A Texas Hold'em problem

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(Chinese version of this topic, 中文版)

2 players A and B play Texas Hold'em, each with initial cash $1000. After some hands, Player A wins money $q and player B loses the same amount, ie player A has $(1000 + q) and player B has $(1000 - q), where -1000 < q < 1000. Now the small blind is larger than $2000, so from now on they have to all-in every hand.

(1) What's the probability of player A winning the game P[A win] ?
(2) Counting from now, what's the probability of player A winning the game at the n-th hand P[A win, n] ?

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Last edited by Wen at 2008-10-26 12:32:02

Posted at 2008-10-26 12:10:02
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