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You are playing dice games with one friend. For each game, if you win, you can double your money; if you lose, you will lose

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You are playing "dice games" with one friend. For each game, if you win, you can double your money; if you lose, you will lose all your money. The probability for winning each game is 0.5. If you start with $1, what is the probability of winning $X by continuously playing the games provided that you will bet all your money for each game

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