3.14. Suppose that you are gambling against an infinitely rich adversary and at each stage you either win or lose 1 unit with respective probabilities p and 1 - p. Show that the probability that you eventually go broke is 1 if p ? 1/2, (q/p)? if p > 1/2 where q = 1 - p and where i is your initial fortune.
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The probability of going broke is given by the formula: 1 - p_i, where p_i is the probability of winning all the money. Show more…
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