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If calculated as stations, they would just multiply 4 by 36, making with the players bet down.
Over the years, many people have tried to beat the casino, and turn roulette—a game designed to turn a profit for the house—into one on which the player expects to win.
Most of the time this comes down to the use of betting systems, strategies which say that the house edge can be beaten by simply employing a special pattern of bets, often relying on the " Gambler's fallacy ", the idea that past results are any guide to the future for example, if a roulette wheel has come up 10 times in a row on red, that red on the next spin is any more or less likely than if the last spin was black.
All betting systems that rely on patterns, when employed on casino edge games will result, on average, in the player losing money.
Certain systems, such as the Martingale, described below, are extremely risky, because the worst-case scenario which is mathematically certain to happen, at some point may see the player chasing losses with ever-bigger bets until he runs out of money.
The American mathematician Patrick Billingsley said  that no betting system can convert a subfair game into a profitable enterprise.
At least in the s, some professional gamblers were able to consistently gain an edge in roulette by seeking out rigged wheels not difficult to find at that time and betting opposite the largest bets.
Whereas betting systems are essentially an attempt to beat the fact that a geometric series with initial value of 0.
These schemes work by determining that the ball is more likely to fall at certain numbers. Edward O. Thorp the developer of card counting and an early hedge-fund pioneer and Claude Shannon a mathematician and electronic engineer best known for his contributions to information theory built the first wearable computer to predict the landing of the ball in This system worked by timing the ball and wheel, and using the information obtained to calculate the most likely octant where the ball would fall.
Ironically, this technique works best with an unbiased wheel though it could still be countered quite easily by simply closing the table for betting before beginning the spin.
In , several casinos in Britain began to lose large sums of money at their roulette tables to teams of gamblers from the USA.
Upon investigation by the police, it was discovered they were using a legal system of biased wheel-section betting. As a result of this, the British roulette wheel manufacturer John Huxley manufactured a roulette wheel to counteract the problem.
The new wheel, designed by George Melas, was called "low profile" because the pockets had been drastically reduced in depth, and various other design modifications caused the ball to descend in a gradual approach to the pocket area.
Thomas Bass , in his book The Eudaemonic Pie published as The Newtonian Casino in Britain , has claimed to be able to predict wheel performance in real time.
The book describes the exploits of a group of University of California Santa Cruz students, who called themselves the Eudaemons , who in the late s used computers in their shoes to win at roulette.
This is an updated and improved version of Edward O. Thorp 's approach, where Newtonian Laws of Motion are applied to track the roulette ball's deceleration; hence the British title.
In the early s, Gonzalo Garcia-Pelayo believed that casino roulette wheels were not perfectly random , and that by recording the results and analysing them with a computer, he could gain an edge on the house by predicting that certain numbers were more likely to occur next than the 1-in odds offered by the house suggested.
This he did at the Casino de Madrid in Madrid , Spain , winning , euros in a single day, and one million euros in total. Legal action against him by the casino was unsuccessful, it being ruled that the casino should fix its wheel.
To defend against exploits like these, many casinos use tracking software, use wheels with new designs, rotate wheel heads, and randomly rotate pocket rings.
At the Ritz London casino in March , two Serbs and a Hungarian used a laser scanner hidden inside a mobile phone linked to a computer to predict the sector of the wheel where the ball was most likely to drop.
The numerous even-money bets in roulette have inspired many players over the years to attempt to beat the game by using one or more variations of a martingale betting strategy , wherein the gambler doubles the bet after every loss, so that the first win would recover all previous losses, plus win a profit equal to the original bet.
The problem with this strategy is that, remembering that past results do not affect the future, it is possible for the player to lose so many times in a row, that the player, doubling and redoubling his bets, either runs out of money or hits the table limit.
A large financial loss is certain in the long term if the player continued to employ this strategy. Another strategy is the Fibonacci system, where bets are calculated according to the Fibonacci sequence.
Regardless of the specific progression, no such strategy can statistically overcome the casino's advantage, since the expected value of each allowed bet is negative.
The Reverse Martingale system, also known as the Paroli system, follows the idea of the martingale betting strategy , but reversed.
Instead of doubling a bet after a loss the gambler doubles the bet after every win. The system creates a false feeling of eliminating the risk of betting more when losing, but, in reality, it has the same problem as the martingale strategy.
By doubling bets after every win, one keeps betting everything he has won until he either stops playing, or loses it all. The Labouchere System involves using a series of numbers in a line to determine the bet amount, following a win or a loss.
Typically, the player adds the numbers at the front and end of the line to determine the size of the next bet. When he wins, he crosses out numbers and continues working on the smaller line.
If he loses, then he adds his previous bet to the end of the line and continues to work on the longer line.
This is a much more flexible progression betting system and there is much room for the player to design his initial line to his own playing preference.
This occurs because as the player loses, the average bet size in the line increases. The system, also called montant et demontant from French, meaning upwards and downwards , is often called a pyramid system.
It is based on a mathematical equilibrium theory devised by a French mathematician of the same name. Like the martingale, this system is mainly applied to the even-money outside bets, and is favored by players who want to keep the amount of their bets and losses to a minimum.
The betting progression is very simple: After each loss, you add one unit to the next bet, and after each win, one unit is deducted from the next bet.
Starting with an initial bet of, say, 1 unit, a loss would raise the next bet to 2 units. If this is followed by a win, the next bet would be 1 units.
This betting system relies on the gambler's fallacy—that the player is more likely to lose following a win, and more likely to win following a loss.
There are numerous other betting systems that rely on this fallacy, or that attempt to follow 'streaks' looking for patterns in randomness , varying bet size accordingly.
Many betting systems are sold online and purport to enable the player to 'beat' the odds. As the system was advertised in the UK press, it was subject to Advertising Standards Authority regulation, and following a complaint, it was ruled by the ASA that Mr.
From Wikipedia, the free encyclopedia. This article is about the casino game. For other uses, see Roulette disambiguation.
Game of chance. Massachusetts Institute of Technology. Retrieved 20 October