Question: Consider a gambler who at each gamble either wins or
Consider a gambler who, at each gamble, either wins or loses her bet with respective probabilities p and 1 − p. A popular gambling system known as the Kelley strategy is to always bet the fraction 2p − 1 of your current fortune when p > 1/2. Compute the expected fortune after n gambles of a gambler who starts with x units and employs the Kelley strategy.
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