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A problem: A guy is in desperate needs of 5000 dollars. He can get the money playing a game. In the game you bet money, but the quantity must be multiple of 1000. He start with 1000 dollars and he always plays the most risky bet. That means that if in any time he wins 2000 dollars, he is going to bet 2000 dollars the next time, winning 4000 dollars. BUT if he wins, for example, 4000 dollars, he is going to bet only 1000 dollars, not 4000, beacause it will be the most risky, but not too smart or logical, since he only need 5000 dollars. What's the probability of winning the 5000 dollars star
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What's the probability of winning the 5000 dollars starting with the initial 1000? P.D. The probability of win or lose is always the same.
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