The three main versions of roulette are European Roulette, American Roulette, and French Roulette. American Roulette, as you might have guessed, is the version of roulette that is typically played in American casinos. The only real difference between American Roulette and European Roulette is that the American version has a single zero and a double zero, while the European version only has a single zero. This doesn’t affect gameplay at all but does have an effect on some of the payout odds.

Online gambling is largely unregulated in the U.S.  That means the casinos serving U.S. players generally don't answer to anyone.  If you have a problem with a casino (like they won't pay you), then you're usually out of luck.  I can't count how many players have written to ask me for help because they didn't get paid by some other casino.  (Not that I helped them—if a dodgy casino won't pay you then you're on your own.)
This system is often referred to as the Gambler’s Fallacy. It posits that if events are too tilted in one direction --- say heads appearing 80 percent in the first 10 coin tosses --- then tails must hit more to catch up with it since we are dealing with a 50/50 proposition. Even though this sounds reasonable it is not so as I shall explain in this section.

More than you’ll ever play. Somewhere between 100 to 500 or even more. Most of them use the same few wheels and live video footage provided by another company. So you can often play on the same wheel, but through a different online casino. The casino pays the live-video-provider a fee, but the casino itself is responsible for paying winnings. Although there are hundreds of live roulette casinos online, there are only about 30 different wheels.
Do you know the difference between a Corner and a Straight Up Bet? How about a Six Line or Street? These are all terms for popular roulette bets and there’s plenty more where that came from. Learn the lingo and learn the types of roulette bets available to you. It’s a smart way of improving your roulette playing and will allow you to approach the game in a more calculating manner, one that will allow you to make your chips go further. Our guide to roulette betting will tell you everything you need to know about the many types of bets at your disposal.
Officially, there are three variations of Roulette that exist, American, European and French Roulette. Players may bet on a single or a range of numbers, colors red or black, odd or even, or high (19–36) or low (1–18) numbers. The winning number is thus determined when the ball drops into one of 36 colored and numbered pockets on the wheel or a zero pocket (American roulette utilizes a double zero).
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My goal with this roulette strategy is to keep you away from the devastating loss that the Martingale ultimately entails. Plenty of times on the two spins that you sit out there will be a winning spin – had you bet it. More times there won’t. Remember the casino has that edge on all of those even-money wagers. That fact should always be front and center in your mind. Never think you are playing an even game even on bets called “even-money” bets.  
Put another way, imagine waiting many years to see the spin sequence 1,2,3,4,5. It seems really rare, and you bet that #6 wont spin next. But actually the odds of #6 spinning next are the same as any other number.  Run some proper simulations and you’ll see no matter how you play it, you cannot change your odds by betting that rare events wont happen.

Even if there isn't a betting limit, and if you have an infinite credit limit, it still doesn't really work, it just doesn't really fail either. If the martingale strategy is continued indefinitely and without regard to betting limits, your bankroll will hit arbitrarily high positive and negative values. The expected value is still negative, but the variation is so high that it your bankroll won't stay either negative or positive.
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