If you bet $100, your odds of winning are around 50% and if you lose, bet $200, and so on and so forth until you win, and then cash out with a guaranteed profit. Assuming odds of black are 47.37% as per American roulette, your odds of not winning a single one after 6 tries are 0.02125 (I think) and decrease exponentially after each subsequent try.
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I worked for a casino in IT. In training, they had a professor come in and teach casino math.
Two things keep this strategy from working: you run out of money before the casino does and there is a table limit. After that point yo can no longer double your bet. That limit is to keep this strategy from working.
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