58. In the gambler's ruin problem of Section 4.5.1, suppose the gambler's fortune is presently i, and
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58. In the gambler's ruin problem of Section 4.5.1, suppose the gambler's fortune is presently i, and suppose that we know that the gambler's fortune will eventually reach N (before it goes to 0).
Given this information, show that the probability he wins the next gamble is Image Hint: The probability we want is
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