Roulette Probabilities

Roulette Probabilities

Roulette is a simple game played in most casinos, it contains a fixed set of probabilities with no real skill required to play the game.
In most parts of the world the roulette wheels have 36 numbers, one 0 and two 00, overall 38.
At the Europe wheel there are the same numbers, 1 through 36, but only a single 0.

Let’s have a look on the American Wheel:

We suppose you are betting on black. 18 of the 36 numbers of the roulette table are red and the other 18 are black. Only the 0 and 00 are green. On average, you will win 18 times out of 38, or your probability of winning is 18/38 = 9/19 = 0,474 which is slightly less than half.

Another typical 2:1 bet is to bet on a group of 12 numbers, you can do this by betting on a column of numbers. So overall you will win 12 times out of the 38 possible, for a probability of winning of 12/38 = 6/19 = 0,316.

You can calculate it for any other probability the same way. Just sum up how many of the results represent the win, and divide that by 38, on the European Wheel you divide it by 37. Multiply that value with 100 and you have the percentage.

If you only bet on a single number and the ball lands on that one, then you win with a ratio of 35 to 1. This happens once in 38 times / 37 times, but some people got very rich through this just having a lucky day.

Overall the house advantage is at around 5,2%, if you learn the betting strategies and tricks at roulette [link] you might be able to beat the bank almost daily!
Read More …

Type of Bets on Roulette

Inside Bets:

  • Straight Up: a single number bet. The chip is placed entirely on the middle of a number square.
  • Split: a bet on two adjoining numbers, either on the vertical or horizontal (as in 14-17 or 8-9). The chip is placed on the line between these numbers.
  • Street: a bet on three numbers on a single horizontal line. The chip is placed on the edge of the line of a number at the end of the line (either the left or the right, depending on the layout).
  • Corner (or square): a bet on four numbers in a square layout (as in 11-12-14-15). The chip is placed at the horizontal and vertical intersection of the lines between the four numbers.
  • Six Line: a bet on two adjoining streets, with the chip placed at the corresponding intersection, as if in between where two street bets would be placed.
  • Trio: a bet on the intersecting point between 0, 1 and 2, or 00, 2 and 3.

Outside bets: typically have smaller payouts with better odds at winning.

  • 1 to 18: a bet on one of the first low eighteen numbers coming up.
  • 19 to 36: a bet on one of the last high eighteen numbers coming up.
  • Red or Black: a bet on which color the roulette wheel will show.
  • Even or Odd: a bet on an even or odd number.
  • Dozen Bets: a bet on the first (1-12), second (13-24), or third group (25-36) of twelve numbers.
  • Column Bets: a bet on all 12 numbers on any of the three vertical lines (such as 1-4-7-10 on down to 34). The chip is placed on the space below the final number in this string.

Roulette History

The roulette was invented in China. Brought to Europe by traders, who were trading with the Chinese.
Several early versions of a wheel and spinning ball were invented in the 17th and 18th centuries in Europe. The first games that we would recognize as modern roulette were introduced in Paris casinos around the end of the 18th century. This game contained all of the features that we have today with the one exception, the single zero was red while the double zero was black. This led to some confusion for players and the color green was introduced for the zero and double zero to alleviate the confusion.

In the mid 19th century the single zero game was invented in France, this reduced the casino’s edge thereby increasing the odds of the player. When gambling was outlawed in Germany the inventor of the single zero machine (Louis Blanc) accepted an invitation to go to Monaco to establish and operate a casino. The casino set the standards for roulette in Europe, and roulette remained exclusive to Monte Carlo until 1933. This led to the gambling and resort industry in Monaco as many of Europe’s rich were attracted to the luxurious Monte Carlo casino.

The use of the double zero roulette wheels survived in the United States and is sometimes called the “American Wheel”. The introduction of the single zero wheel (with better odds for the player) resulted in the demise of the double zero wheels in Europe and has become known as the “French Wheel” in roulette history.

Roulette table layout can be named the most easily recognizable symbol of gambling in the entire world. Roulette table contains some typical parts, which can be found on the every roulette set. The long roulette table, which the player usually sees in the large casinos, can accommodate between six and eight roulette players quite easily.

On the table there is a layout containing the numbers that you can bet on. As you’ll learn in the roulette bets section, when you bet on a number, you’re basically betting that when the wheel is spun and the ball finishes its bounce, that it will come to its final rest on the number that you’d bet on.

For American roulette, the layout will contain thirty-eight numbers including a zero and a double zero. For European roulette, which is also called French roulette, the roulette table layout will contain thirty-seven numbers including a single zero. The picture shows an outline of an American Roulette table layout. The side and the end of the table that has the thick gray border is the section that’s fully dedicated to the players. They stand there to place their bets and observe the proceedings and in most cases, especially on a hot casino night, it’s standing room only at the roulette tables.

The end of the table is the dealer or croupier domain and only he/she may enter there. From there, the croupier spins the wheel, and calls the numbers, and is basically in charge of the roulette table proceedings. Online casinos of course it’s a whole different matter. In the world of online roulette, all you really need to know how to do is to use your mouse to place bets. Try it for yourself by playing on our own free virtual roulette game. No real cash involved, it’s all for fun, so try it out. If you want to try it with an online casino be aware their are only certain US accepted casinos.

European roulette has thirty-seven numbered slots including one for the number zero, while the American roulette wheel has thirty-eight numbered slots including two for the number zero (0 and 00).

Famous Bets

  • In 1873, the Englishman Joseph Jaggers made the first famous roulette biased wheel attack. Mr. Jaggers with a team of six clerks, clocked all the wheels at the Monte Carlo casino and found one wheel to show significant bias. In their attack exploiting this flaw they won over $325,000, an astronomical sum in 1873.
  • In the summer of 1891 at the Monte Carlo casino, a part-time swindler and petty crook from London named Charles Wells, broke the bank at each table he played over a period of several days. Breaking the bank meant he won all the available money in the table bank that day, and a black cloth would be placed over the table until the bank was replenished. In song and life he was celebrated as “The Man That Broke the Bank at Monte Carlo.” He later admitted that it was all luck, and he eventually ended up in jail for many years because of his fraudulent schemes.
  • In the 1942 film Casablanca, Rick’s Café Americain has a trick roulette wheel. The croupier can cause it to land on 22 at will. Rick (Humphrey Bogart) urges a Bulgarian refugee with whose case he becomes sympathetic to put his last three chips on 22 and motions to the croupier to let him win. After the man’s number dramatically comes up, Rick tells him to let it all ride on 22 and lets him win again. Although the details are not mentioned in the film (the croupier only notes that they are “a couple of thousand” down), it appears that Rick has given the man 3885 ((3*36*36)-3) francs.
  • Near the beginning of the 1973 film The Sting, Johnny Hooker (Robert Redford) takes his share of the money conned from a numbers runner and loses nearly all of it on a single bet against a rigged roulette wheel.
  • In the third part of the 1998 film Run, Lola, Run, Lola uses all her money to buy a 100-mark chip. (She is actually just short of 100 marks, but gains the sympathy of a casino employee who gives her the chip for what money she has.) She bets her single chip on 20 and wins. She lets her winnings ride on 20 and wins again, making her total winnings 129,600 marks (29,600 more than her smuggler boyfriend owed his boss, Ronnie). The odds of two consecutive wins on the same number on a European roulette wheel are exactly 1369-to-1 against.
  • In the South Park episode “Red Man’s Greed”, the town, facing destruction at the hands of Native Americans, bets $10,000 to raise money to save themselves. They win, but let it ride, and lose all of it.
  • In 2004, Ashley Revell of London sold all of his possessions, clothing included, and brought US$135,300 to the Plaza Hotel in Las Vegas and put it all on “Red” at the roulette table in a double-or-nothing bet. The ball landed on “Red 7” and Revell walked away with his net-worth doubled to $270,600.
  • In the music video for “Palace & Main” by Kent, guitarist Harri Mänty goes to Las Vegas and bets the entire video budget on black. He wins, and the profits were donated to charity.


Find here all about the roulette table game by reading our glossary.

American wheel – The roulette wheel used in the USA, featuring numbered slots from 0 to 36 and the 00 (double zero). Originally, the double-zero wheel started in Europe and the single-zero wheel started in America.

Bankroll – The total amount of money a gambler has to gamble.

Cancellation Betting System – Betting system using a series of numbers that cancels numbers after winning a bet and adds numbers after losing a bet. One specific type of Cancellation System is known as the LaBouchere system.

Chips – Gamble money

Column Bet – A bet on one of the columns of 12 numbers.

Corner bet – when a player bets on four numbers by placing roulette chips at the middle of these four numbers.

Croupier – Name for the dealer

d’Alembert Betting System – System of betting where you raise your bet by one unit after a loss and decrease your bet by one unit after a win.

Double-Up System of Betting – The Betting system whereby bets are doubled after a loss in hopes of recouping the previous loss.

Even Bet – A wager that one of the even numbers will win the next spin.

Even Money – A bet that pays off at one to one: Red, Black, Odd, Even, Low, and High bets all pay even money.

Fibonacci Betting System – Betting system where there is a progressive combination of numbers.

Five number bet – Commonly played in American roulette, where players bet on 0, 00, one, two and three, all at the same time.

French Wheel – Been used in Europe, South American, and elsewhere, but seldom in the USA, featuring numbered slots from 0 to 36 but without the 00 (double zero) of the American Wheel.

Greens – Chips valued at $25.

High Bet – A wager that one of the high numbers (19-36) will win.

High Roller – A person who plays for big money and with big money.

Hot Table – A table where the players have been winning.

Inside bet – A bet placed using the spaces inside the numbered part of the game layout: straight, split, street, corner, and line bets.

Insurance Betting System – Decrease the amount of your bet when you win, usually following a high initial bet or following short let-it-ride progressive wins.

Line Bet – A wager that one of six numbers will win.

Low bet – when players bet on any of these numbers 1 – 8.

Martingale Betting System – A type of Double-Up System whereby you double your bets after every loss.  Meaning that when you win, you’ll win back all of your loss, plus the payoff for the original wager.

Negative progression Betting System – You increase the bet when you lose. Require more capital and usually employed to force a winning outcome following a losing streak.

Outside bet – A bet placed using the spaces outside the numbered part of the game layout: column, dozen, low, high, odd, even, red, and black bets.

Odd Bet – A wager that one of the odd numbers will win the next spin.

Quarter Bet – A wager that one of four numbers will be hit on the next spin. Same as Corner Bet and Square Bet.

Red Bet – An even-money bet that the next number will be red.

Reverse: LaBouchere Betting System – The La Bouchere system in reverse by cancelling the numbers in each loss and then adding them after the win.

Reverse: Martingale Betting System – The Martingale betting system in reveres by doubling up after each win and not after loss.

Roulette ball – Used in a game of roulette, made of ivory, metal, or plastic

Roulette table – Table on which roulette is played, with a roulette wheel and one or two game layouts

Section Shooting – The act of placing the ball in a given section of the wheel.

Section Slicing – Dividing the wheel into sections based upon which numbers have been hitting for the purpose of discovering biases.

Slots – Numbered and colored divisions of the inside track of the roulette wheel.

Split Bet – A single bet that one of two numbers will hit on the next spin.

Straight Up Bet – An inside bet on one number.

Street – The horizontal row of three numbered spaces on the game layout.

Street Bet – A bet that one of three particular numbers will hit on the next spin.

Surrender – The option where a casino only takes only half of a player’s losing bet on the even-money bets when the 0 or 00 hits.

Toke – The tip given to the Croupier.

Wheel Strategies – Strategies that try to exploit imperfections in the wheel in order for the player to get the edge.


Roulette is one of the most popular gambling Games in the World.

Roulette online gaming

Whether in Las Vegas, Monaco, London, they play it everywhere. Each year, each day, thousands of People around the World try to gain the maximum out of their bets with targeted use of various strategies at the Roulette Tables. Furthermore the special flair of traditional gambling is unique, theres no comparable Game like Roulette. Inexperienced Players associate at first Roulette when thinking about Casinos.

The experienced Gambler is heading daily to the Casino. Depending on his willingness, he is forced to spend Time for getting to the Casino, obligated accepting the Dress Code, as well as paying the Entrance Fee. While most Cities in the World do not have Professional Casinos, and those smaller gambling houses are not offering Roulette with Croupiers, you must be willed to cover long distances with ur car, paying for Gas too.

For everyone who does not want to deal with the hassle of in house gaming, or just wish to play 2-3 games, you now have the opportunity to visit an Online Casino. Roulette, Poker, One Arm Jackpots, its all available to you Online, in the privacy of your Home.

While Playing Online there will be no admission fees or costs, everyone can decide for itself whether its comfortably in front of your TV or via WLAN or maybe at a nice resort besides the sea, total Freedom of placing your Bets.

The Roulette pay and profit procedures works mostly with a prepaid account. You can load a certain amount to the account and also transfer the payout to your private bank account. Playing Online guarantees you perfect anonymity and private sphere, there is no danger of meeting Co-Workers or Friends, no one will try to chat with you after having a big win at the table.

Roulette Gambling Tipps and Tricks

One way win strategy: Try to start with small bets. When you win, boost the betting stepwise

Roulette online gaming tips

as you win risking only a calculated amount of your wins. Put no limit to winnings as long as profit is raising.

Set your target profit levels backwards: It is easier to fulfil a target level backwards (as profit recedes) than forward. The danger of forward profit targeting is that you can get close to it, and then lose the lot. Backward profit level targeting is more suitable on low risk/win ratio betting systems, so you risk a little to win a lot but you win fewer times. Thus when devising your system you should aim to win more money with fewer bets and in fewer winning spins, rounds, hands or cues. Positive stepwise betting is one way to achieve that. This is a more efficient way to bet and gives you more flexibility in managing your winnings.

Approach gambling realistic: You cant force a winning outcome and dont expect to win every time! Decide on a plan that lets you play in sessions or intervals, closing each session once certain criteria are met, and do not aim to win each one of them. What matters is the overall result.

Pocket winnings: Keep your winnings as you win and continue playing only with your principal bankroll. Once your principal bankroll is gone, count your pocketed winnings and continue playing only with half of any excess you have, that is, play with half of your net win (your winnings less your original bankroll). For example, if you start with 200 dollars, pocket winnings as you play and keep playing from your original amount. Once the 200 dollars are gone, if your pocketed winnings are $240, continue playing only with half the surplus, $20 (240-200=40/2=20).

Know when to stop: Before or during any game, tell yourself you are going to win and stay focused on the Task of winning your games. Just being positive will alter your winnings a little. And if you get hot or cold, dont get cocky or start to think everything is over for you. Just refresh and devise a good strategy that works for you personally. One that has been successful in the past will be in the future also. And most importantly, know when to stop, keep ur winnings.

Definition Roulette

Roulette is a casino and gambling game named after the French word meaning “small wheel”. In the game, players may choose to place bets on either a number, a range of numbers, the color red or black, or whether the number is odd or even. To determine the winning number and color, a croupier spins a wheel in one direction, then spins a ball in the opposite direction around a tilted circular track running around the circumference of the wheel. The ball eventually loses momentum and falls on to the wheel and into one of 37 (in European roulette) or 38 (in American roulette) colored and numbered pockets on the wheel.

source :