For the gambler's ruin model of Section 4.5.1, let M, denote the mean number of games that
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For the gambler's ruin model of Section 4.5.1, let M, denote the mean number of games that must be played until the gambler either goes broke or reaches a fortune of N, given that he starts with i, i = 0, 1, ..., N. Show that M, satisfies M = MN = 0; M = 1 + pM+1+qM;-1, i=1,...,N-1
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