Leonardo of Pisa, also known as Fibonacci, was a famous Italian mathematician who wrote about a specific series of numbers in the early 1200’s. While the series was around over a thousand years before Fibonacci, the series was dubbed the “Fibonacci sequence” in the nineteenth century. Basically, the sequence is characterized by the fact that every number after the first two is the sum of the two preceding ones. So, the Fibonacci go like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc.
It's important to understand that the outcome of the roulette wheel is truly random.  If Black has come up for the last 10 spins in a row, the next spin is not more likely to be Red.  Black and Red are still equally likely. There's an old saying, "The wheel has no memory."  That means it doesn't know what it spun before, and even if it did, the wheel can't select what number comes up out of its own volition.  There's more on this in my article Debunking the Gambler's Fallacy.
Crossing off only four shows leaves you with a lot of chances to receive a show you've already seen, and it's hard not to feel like the selection process is rigged when you a) don't get to see the wheel actually spin and b) following along on social media shows that a majority of people see the same few shows: Kinky Boots, Waitress, Head Over Heels and The Prom. These are shows that you could easily pick up a discounted ticket to using BroadwayBox or purchasing last-minute on StubHub, if not directly from the box office, where tickets usually start around this price, anyway. For example, weekend tickets to The Prom start at $69, to Kinky Boots, $79, and to Head Over Heels, just $49.
I would use a Martingale only on the even-money outside bets at roulette, the odd or even, high or low, red or black. These bets give the player 18 chances to win with 20 chances to lose on the American double-zero wheels and 18 chances to win with 19 chances to lose on the European Roulette (single-zero wheels). Obviously, if you can play the European wheel that is the preferred one as long as the betting ranges fit your bankroll.
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Before the game starts, players are instructed to place their bets. This is the time that you get to choose what you would like to wager on for the next spin. We will go over the different bet types and options available to you in depth later. Bets are made by placing your chips onto the felt in the area designated for the bet you would like to make.
If you want to be the best roulette player you can possibly be then you should have a good grasp of where the game came from – even before there was a game! Roulette hinges on one of the oldest beliefs in the world, the power of the circle. It is hard to determine where roulette actually originated and my introduction will not descend into the obscurity of the issue. Take my advice in this Roulette Guide. Read it all. And we start with the circle and the circle’s impact on our lives and how we actually view reality as a kind of circle.

One way that you can ensure not to lose too much money – especially if you are playing online – is to concentrate on the outside bets. These bets only apply to boxes outside the numbered grid of the betting table and are for red or black, odd or even, or for groups of numbers either in rows or number bands. The odds are not as big but that means that there is more chance of winning.
As you’ve seen, the rules of Roulette are really quite simple. Now that you’re caught up with the history and basics of the game, let’s go over betting! Real Money Roulette tables have their own chips, and players are designated different colored chips so the croupier will know who to pay and who to take. Each table also will have a minimum bet posted.

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.  

Making a bet is easy:  just place your chip(s) on the number(s), color, or sets you want to bet on.  For most bets it's fairly obvious—you can't miss the Red diamond for Red bets, and things like Even, 1-18, and 1st 12 are written out in plain English.  I've added blue circled letters to the picture below to point out how to make the not-so-obvious bets (the sets of 2-6 numbers). Here are the different bets you can make and the payouts for those bets.


Bet on the inside in moderation to increase your payout. Though they have the highest payout, straight bets on a single number are risky. The odds of the ball landing on the exact number you chose is 1 in 37 (2.7%) for European wheels and 1 in 38 (2.63%) for American wheels. In addition to making a straight bet on a single number, you can also divide the odds between multiple numbers.[3]
Play through is the number of times you’ll need to wager the bonus amount (or bonus and deposit combined) before you can make a withdrawal. Sometimes you’ll be able to withdraw the bonus itself, though often this will just be the winnings you accumulated while clearing it. 25x is a fair play-through, with anything higher than 40x not so player-friendly.
Another strategy that is good for more wary players is one known as the Paroli system. Here you make an initial bet of say £10 and if it loses you repeat the stake for the next spin. When your bet wins you double your stake for the next game and so on. If you then win three games in a row you should return back to your original stake. The thinking behind this system is that your luck will run out so it reigns in any outlandish bets before you get carried away.
Play on European wheels instead of American wheels when possible. The American Roulette wheel has an extra slot, 00, which decreases the odds of winning. One pocket may not seem like a big deal, but the impact on probability is drastic. On an American wheel, the house advantage is twice that of a European wheel, which means you could lose money twice as fast.[8]
I would use a Martingale only on the even-money outside bets at roulette, the odd or even, high or low, red or black. These bets give the player 18 chances to win with 20 chances to lose on the American double-zero wheels and 18 chances to win with 19 chances to lose on the European Roulette (single-zero wheels). Obviously, if you can play the European wheel that is the preferred one as long as the betting ranges fit your bankroll.
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.
If you tested 10,000 spins, usually you’ll have approximately an even amount of red and blacks. So it may seem reasonable to assume you could check the previous spins and bet on whichever color spun least. Let’s assume there was no green zero for now. For example, say you checked 1000 previous spins and saw there were 600 reds and 400 blacks. So you then bet on black expecting more blacks to spin because of an “evening out effect”.
I wanted to love this service because I love to support any female entrepreneur, however I don't think it is worth the money for someone who sees Broadway shows more often than once or twice per year. This service is perfect for someone who is in town for a day or two and would like to see any show (and doesn't care which one they see), but not for the Broadway enthusiast --- unless you use it so often that a majority of shows are automatically removed for you (Broadway Roulette will never send you to the same show twice, so after you log in again after your first show, it is already stricken from the list and you do not need to remove it again).
Roulette was probably the first true casino game and was likely introduced in the middle ages. Noblemen attempted to beat roulette with various roulette systems of play. If we had a time machine we could go back and tell them that the systems they invented and used, while fun, just couldn’t give them a true mathematical edge over the casino. Luckily the peasants didn’t play in casinos because, well, after all they were peasants.

If you say you only need a system to win in “your lifetime of spins”, you aren’t paying attention. Remember there could be 100 players all playing 1,000 spins, which is 100,000 spins in total. From those 100 players, perhaps 47 will be winners, and 53 will be losers. Again most are losers. You have no way of controlling if you are one of the winners or losers. You are all using the same system, and the results depend entirely on whether you get “suitable spins” or not.
Bonuses may sound great, but they always come with strings that ultimately benefit the casino. If you are a professional player, never accept a deposit bonus because it will limit what you can do. For example, you may have won a fortune on a wheel, then it gets changed by the casino. But you may not be able to withdraw funds until you have wagered a certain amount. And doing so may erode your profits.
Like many casino games, roulette has evolved an entire lexicon of terms ranging from the obscure to the arcane. While you’re unlikely to encounter some of these terms often, others will crop up frequently. Our guide to roulette terms will help you learn the lingo so that you’re never left nonplussed by the chat at the table or the dealer’s instructions. Mastering some of the many unique terms which crop up in roulette will also furnish you with an appreciation of how the game has evolved over the years and will provide an insight into roulette’s fascinating history. The more roulette terms you learn, the deeper your appreciation for the game will become.
Those of you have gambled in a casino, even only a few times, have probably stumbled on the Martingale system, even if you didn’t know the word Martingale. You might have even figured you invented it. I know I did. It seems this is the very first concept most gamblers have and it is expressed in the following phrase: “I have to win sooner or later, right?” 
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