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RE: Is this an unbeatable Roulette strategy?
This is, roughly, the Martingale system. The answer is, no, it doesn't work. If you have an infinite bankroll and there is no table limit then you will win money with probability one (that's not the same as saying you can't lost, just that the probability of you losing becomes arbitrarily small), which sounds pretty good. However, you don't have an infinite bankroll and there is a table limit. Suppose you hit a run of bad luck (it can happen) and have to bet $2,000 by your system and you don't have $2,000. Or suppose the table limit is $1,000. What do you do then?

The fundamental point is that the house has an advantage of 5.26% and there is no way you can add up a bunch of negatives and get a positive. No way. Can't be done.

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