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Ever hear of the "Law of Independent Trials"? This one is real and it simply says that each spin of the Roulette wheel is independent of the others. If there are 18 red numbers and 38 total numbers, the odds of red coming up is 18 of 38 (47.36%), each and every spin. The wheel doesn't know it just came up red, or that it just came up red for the last 5 spins. At each round, the odds are the same. "But", you may argue, "there's no way red is going to come up all night, or even 10 times in a row". Well, it CAN come up 10 times in a row, but it is, admittedly, a rare event. In fact, the probability of 10 reds in a row is .0005676 or 1 in 1762. Interesting fact, but it won't help you a bit, because it's what we call a priori. That's Latin for 'before the fact', and you're not allowed to play Roulette that way. When your $$$ are on the table, you're in the game and at that point, anything can happen; it just might be the time when red comes up 12 times in a row.
But one guy thought about the little scenario above and stated, correctly, that red wasn't going to show up forever. His name, evidently, was Martingale and he invented a betting system called, appropriately enough, the Martingale system. His idea was to bet on a color (or odd or high, etc.) and if that bet lost, double the bet and put it on red again. By progressing the bets in this manner, eventually one would win and he'd get all his $$$ back. If Mr. Rogers was writing this, he'd say right here: "Can you say 'house limit'"? Yes, that's why the casinos have a maximum bet - to defeat Martingale system players. A continued doubling of the bet will eventually run into the house limit where the bet cannot be placed. If a Roulette game has a $500 limit on the even-money bets, a $5 bet can be doubled just 6 times before another doubled bet will put it over the limit. And the sad fact is that, with the Martingale, even when you do win the doubled bet, your profit is only what the original bet was. Start with $5, go to $10, then to $20, up to $40, $80 and $160 and if the $320 bet hits, you've made $5. Risk $320 to make $5? Thank you, no.
And that's how it goes at Roulette, you think up a bunch of fancy schemes and none of them work. Remember, it's all because you're not being paid off at true odds. The house has an edge which can be overcome for a little while, but in the long run, forget it. However, it you want to play, look around for casinos which have single-zero wheels and use the 'en prison' rule (e.g. InterCasino or some Bossmedia casinos).
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