Consider the following gambler's ruin problem. A gambler bets $1 on each play of a game. Each time, he has a probability p of winning and probability 1 - p of losing the dollar bet. He will continue to play until he goes broke or nets a fortune of T dollars. Let Xn denote the number of dollars possessed by the gambler after the nth play of the game. Then Xn+1 = = [X₂+1 (Xn - 1 Xn+1 = Xn with probability p with probability 1-p for 0 < X

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