Question: Problem 2. Consider the following gamblers ruin problem. A gambler bets $1 on each play of a game. Each time, he has a probability p

Problem 2. Consider the following gamblers ruin

Problem 2. Consider the following gamblers ruin problem. A gambler bets $1 on each play of a game. Each time, he has a probability p of winning and probability q =1-p of losing the dollar bet. He will continue to play until he goes broke or nets a fortune of T dollars. Let X, denote the number of dollars possessed by the gambler after the n-th play of the game. Then {x, +1 with probability P Xn+1 = for 0

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