How to play the pivot roulette system takes little time to explain or to understand. The original players of this system based it on the idea that in a random sampling of spins, in this case 38 spins to represent all numbers and the "0" and "00" on an American roulette wheel, not every number is going to come up. In fact, only about 2/3's come up, which means many numbers will repeat.
With this in mind, the pivot system requires a player to wait until they see a number repeat and then bet on that number for the next 35 spins. That's a little different than other roulette systems like the Labouchere. The amount bet should be the same for every spin. If the number bet on comes up again they will show a profit (or break-even if it comes on the 35th spin). When the number comes up again and they are paid, they choose the next number on their list that has repeated and bet on that one for 35 spins or until it comes up again.
If at any time the number they have chosen does not come up in 35 spins, then they move on to the next number that has repeated. This system requires that you keep a list of all numbers that spin and act upon previous spins to make your decisions.
Some additional options to this system can be a base bankroll, such as 35 units, and a set win amount such as 100 units. Other players place a time limit on their play such as two hours, and then walk away a winner or a loser.Editors Notes
Numbers distribution theory and the law of large numbers work both for and against this betting system. Because the spin of a roulette wheel and the landing of the ball are random events, the wheel is certainly not going to spin a different number every time until all numbers come up. There will be numbers that repeat in even a tiny sampling of 38 spins, so there will be around a dozen numbers that do not show up at all.The Law of Large Numbers
However, there is no way to predict which numbers those repeaters will be. Every spin of the roulette wheel is independent of the last. The law of large numbers states that as the number of samples (in this case spins) increases, the results begin to converge on the expected results. In other words, as you approach a million spins, every number will have come up very close to the same number of times.
So, should you choose a number that has spun twice in the last 38 spins, or one that hasn't spun in the last 38 spins? Well, it's a trick question, because either bet is going to return the same amount of money in the long run. Playing roulette and falling for the gambler's fallacy will lead to ruination of your bankroll.Gambler's Fallacy
With regard to roulette, the gambler's fallacy is the belief that if deviations from expected results (such as a number not appearing) are observed in continuous spins of the wheel, that the deviations are likely to be evened out by opposite deviations in the very near future.
Unfortunately, this is not true. Deviations may be observed in small samples, but the "correction" of results, if you will, may take thousands of spins - or more. The long run is a really long time. Nobody knows what the next spin will bring, because each spin is independent of the last. Employing a betting system to your roulette play can do several good things. It can limit your losses, it can help you understand how the odds works, and it can help you win on occasion. It can not turn the odds in your favor.