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First and foremost, let me state that there is no betting system which can overcome the house edge at Roulette on a long term basis. It's impossible, because your bets aren't paid off at 'true' odds. Let's say you and I were flipping a coin. In the long run, we'd expect heads to come up half the time and tails to come up the other half. Now, if I bet heads and you pay me $1 each time it shows, but I have to pay you only 95 cents when tails shows, I'd soon have all your $$$. That's how the house wins at Roulette (and a lot of other games, for that matter). But a lot of very smart people have, over the centuries, invested a lot of time in trying to beat the Roulette wheel. Stay with me here as I punch holes in all but one of their theories.
Ever hear the term, "Law of Averages"? I don't know if there's such a law in the world of mathematics or not, but it sure seems to make sense. If an event (like flipping a coin) should result in a 50-50 probability, when one 'side' gets ahead of another, the lagging side should, at some point, catch up. Well, yes and no. What actually happens is that as the sample size increases (the number of times the coin is flipped), the percentage difference between the two becomes smaller and smaller, but the actual number difference gets bigger. For example, if we flip a coin 100 times, the result may be 49 heads and 51 tails. The percentage difference is 2% and the actual number difference is 2. If we flipped a coin 1000 times, the result could easily be 495 and 505. The percentage difference is 1%, which is less than our 100-flip trial, but the actual difference is 10, which is 5 times the difference! Now, do you bet on percentages in Roulette, or actual numbers? Obviously it's actual numbers and there's no law in mathematics which says one side MUST catch up with the other. They'll be close from a percentage point of view, but you may be betting in vain, in trying to play catch-up. Yet, a lot of people see one color or another show up in a series of spins and think the other one should now appear. "It's the Law of Averages", they say. But look at it another way: What if the color which is showing up the most had been a 'lagger' for the past day, before you showed up? Now it's gotten 'even', but you think the other color is behind and start betting it. Make any sense?
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