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Need complete calculation. Consider a gambler who, at each play of the game, either wins $1 with probability 0.4 or loses $1 with probability 0.6.

Need complete calculation.

Consider a gambler who, at each play of the game, either wins $1 with probability 0.4 or loses $1 with probability 0.6. Our gambler quits playing either when he attains a fortune of $0 or he attains a fortune $10. If we suppose the gambler has $5 at the beginning, then calculate the probability that he attains $10 when he quits playing.

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