(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]* ?

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