Roulette Probabilities

Roulette History

Ancient Greeks played an original version of roulette, but in 1645, the modern roulette was invented by the French scholar Blaise Pascal on the basis of his mathematical interests with probability. In 1842, Louis Blanc - a French politician and historian together with his brother Frances, added 0 to Pascal's roulette to increase the chances of winning a home (casino). They also founded the first casino in Monaco. Since then, some have called roulette the casino queen. Then roulette was brought to the USA. To make the casinos earn more, a 00 was added. 

What is the Roulette Game?

After placing the table by the players, the croupier puts the roulette wheel in the one direction and throws the ball in the opposite direction, after which after several turns the ball falls into the compartment marked with the chosen number. The number is not known to the player until the ball stops on it. Then, the settlement is carried out. Those who were lucky enough to put their chips on the selected number take away the winnings. The field of science that deals with some aspects of this practice on a random basis are probabilistic. To spice up the game, European and American casinos allow players to bet on numbers after the dealer rolls the ball. They must, however, manage to say words before he speaks; Rien ne va plus - (end of betting) or its equivalent in regional language. This usually happens when the ball loses its original momentum, usually for 3 laps of the treadmill before it begins to descend towards the spinning wheel.

The casino also called house (Maison in French, theoretically has an advantage of 2.7% in European Roulette where it is single 0, and 5.26% in the American where there are double 0 and 00. There are 37 or 38 numbers. Bet on any combination on the roulette table by putting chips on it. Depending on the bet the casino makes a win or the bet collects.

The win depends on the type of bet.

  • Straight Up, single number - 35: 1

  • Split Bet, two numbers - 17: 1

  • Street Bet, three numbers - 11: 1

  • Corner Bet, four numbers - 8: 1

  • Five Bet, the first five numbers (0, 00, 1, 2, 3) - 6: 1

  • Six Line Bet, line - 5: 1

  • Column Bet, column - 2: 1

  • Dozen Bet, dozens: 1 - 12, 13 - 24, 25 - 36 - 2: 1

  • Even, Odd, even, odd - 1: 1

  • 1st 18, 2nd 18, numbers 1 - 18 and 19 - 36 - 1: 1

  • Red, Black - red, black - 1: 1

1st 18 / 2nd 18, even / odd, black / red bets are collectively called straight odds or external bets.

The specific number on the roulette table is 0.

In the case of betting on 0 or its combinations (split, corner, street) the winnings are paid in the same way as for placing any other number.

Do You Need to be Lucky?

In roulette, unlike in other gambling games, it is quite easy to calculate the probability of hitting a specific number that will ensure a win. The individual combinations of roulette bets give a greater or lesser chance of being hit, which is why the payment of winnings will depend on the type of bet. There are 36 numbers on the roulette wheel (1-36) plus zero, or two zeros if you play American roulette.

It is these extra zeros that reduce the player's chances of hitting the chosen number giving the advantage of the casino. Therefore, for red/black, even/odd, low/high numbers, where the odds are likely to be 50 to 50 percent, the probability of the hit is 46.37 per cent. The remaining few percent is the advantage of the casino, which is given by fields with zero. The same is true for single number bets.

If a player manages to hit, he gets paid from the ratio of 35: 1. However, the probability of hitting this number is lower and amounts to either 1 to 37 or 1 to 38, depending on whether there are one or two zeros on the wheel. These two additional spins go to the casino account, so the player must theoretically spin the wheel 38 times (instead of 35) in order to finally win the number bet. But there is another catch in roulette.

It does not really matter what happened in the previous spin, because chances of getting a hit are calculated every time from the beginning. So if someone bets number 15, on the next bet he has exactly the same chance of hitting as at the first spin. The fact that the wheel spins once again in no way increases the chances that the placed number will eventually fall out because it did not appear in a few spins in a row. However, strategies are used that assume that the bet number must eventually fall out after a certain number of spins.

Martingale System

The most popular and simplest roulette game strategy is the so-called Martingale system. It is also called the doubling rate system. It works best in games where there are only two events from which we bet on one - for example, a coin toss, eagle, and tails. In the case of roulette, all the fun spoils our unfortunate zero, but not as much as it might seem. It's just a bit longer to wait for your winnings.

How to Play Roulette with this System?

First of all, we place only odd-even fields, red-black or 1-18 or 19-36. The idea is that our bet would have a 50% chance of winning. In our plans, we must be consistent,  because after red it does not have to fall black. Consistently, however, we double the rate in the case of failure of our plan. So - we put a dollar on a red field and when we do not hit, we double the rate. If we win, we are one bet forward. The hit version the second time is one of those optimistic. We can double the rate in principle, and our possible win will still be just one plan .. A variation for the impatient and decidedly richer is the so-called "Great Martingale". From the classic version, the difference is that in the case of a loss we double the rate plus we add the basic value of the first bet to the bet.

Have fun playing roulette at an online casino and win real money!