17. Consider the gamblers ruin problem with the exception that A and B agree to play no...

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17. Consider the gambler’s ruin problem with the exception that A and B agree to play no more than n games. Let Pn,i denote the probability that A winds up with all the money when A starts with i and B with N – i. Derive an equation for Pn,i in terms of Pn-1,i+1 and Pn-1,i-1 and compute P7,3, N = 5.

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