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A gambler plays a sequence of games that she either wins or loses. The outcomes of the games are independent, and the probability that the

A gambler plays a sequence of games that she either wins or loses. The outcomes of the games are independent, and the probability that the gambler wins is 2/3. The gambler stops playing as soon as she either has won a total of 2 games or has lost a total of 3 games. Let T be the number of games played by the gambler. What is the standard deviation

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