Suppose that on each play of a certain game

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Suppose that on each play of a certain game, a person will either win one dollar with probability 1/3 or lose one dollar with probability 2/3. Suppose also that the person's goal is to win two dollars by playing this game. Show that no matter how large the person's initial fortune might be, the probability that he will achieve his goal before he los·,. his initial fortune is less than 1/4.

Reference no: EM131829879

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