As a variation of the gambler's ruin problem, suppose that on each play, the probability of winning

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As a variation of the gambler's ruin problem, suppose that on each play, the probability of winning is ½ and the gambler stops playing if he accumulates $4 or goes broke.
(a) What is the probability of his eventually going broke if he starts with $1? $2? $3?
(b) If the gambler begins with $2, what is the expected number of times that he will play before quitting?
Note: 1 1 1 -le - mlei 2. ||
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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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