If you’re playing at a table live in the casino or online with multiple players, you can imagine that it is important to keep track of whose bets are where. For this reason, casinos will exchange your money for colored chips to keep track of your bets. For example, if there are three players at a table, one player might have red chips, one might have yellow chips, and one might have purple chips. This makes it very easy for you and the dealers to know whose bet belongs to whom.
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).
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.
The purpose of roulette is to try to predict the outcome of where the white ball will land on each spin of the wheel. If we could only try to guess what number that was, the game would be a bit boring, as there would be no variety and it would get way too repetitive. Fortunately, the designers of the game have built in tons of betting options to make the game much more exciting, versatile, and downright fun. Let’s take a look at a few of the different categories of bets you can make.
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The D’Alembert system was invented by the 18th century French mathematician Jean-Baptiste le Rond d’Alembert and is perhaps the easiest of all Roulette strategies to apply. As a negative progression system, it involves you placing a bet, adding one unit to it if you lose, or removing a unit from it if you win, i.e. raise when you lose, lower when you win. Predicated on the idea of natural equilibrium, the D’Alembert strategy works best when applied to a set of even wins and losses for the same bet – but of course you won’t know what the Roulette wheel has in store for you until you start to play.
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?”
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.