[pzhon]

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you have $10,000, and you want to double it playing roulette, what method give you the highest chance of success?

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Because the house advantage is constant over almost all wagers, you want to minimize the expected amount you bet by the time you bust out or hit your target. I believe the proper basic strategy is to bet on one number at a time, either just enough to hit your target, or all of the money you have left.