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How many times in a row has a little ball landed in the same pocket of a Roulette wheel, i.e. how many times has a single number occurred in a row? And how about the same color? What is the probability of these events and a potential impact on a play?
Roulette payouts work like this. The odds are stated in the form of x to 1, which means you’ll win x dollars for every dollar you’ve bet. For example, the single number bet offers a payout of 35 to 1. If you win, you’ll get your dollar back plus the $35 for the win. Do you want to play online roulette for real cash prizes in the US? Corner - The payout will be 8 to 1 (with a percentage chance of 10.8% for European roulette and 10.5% for American roulette) as you are betting on four numbers by placing your chip in the corner.
Record Occurrence of a Single Number in Roulette
The probability that any single number occurs is 1/37 in French Roulette and 1/38 in American Roulette (there are 36 numbers + zero + double zero in American Roulette). There is no doubt that it is a great coincidence when the same number comes up again and again.
The longest reliable series was registered at the hotel El San Chuan in Puerto Rico on 9 June 1959. During the course of the American Roulette, number ten occurred even six times in a row! The probability of such (successive) events is determined by a multiplication of individual events. Therefore the probability that the same number comes up six times in a row is:
(1/38) ˟ (1/38) ˟ (1/38) ˟ (1/38) ˟ (1/38) ˟ (1/38)
, that is:(1/38)6 = 0.000000000332122593261671
.That is a very small number indeed, roughly three billionths only. If we convert this probability into true odds that would have to be offered to us by a casino, we get the value
3,010,936,384 to one
. The true (fair) odds are calculated as a reciprocal of the probability, that is 1 ÷ probability. If such a bet on a series of outcomes was possible in Roulette, we would win $3 billion for a $1 bet(!)It is important to add that the above-mentioned calculation of probability deals with a multiple (successive) events, i.e. we can ask this question: What is the probability that the same number in Roulette comes up 6 times in a row?
Since it would be a different case if e.g. number 10 occurred and after that before the new spin we asked what was the probability that number ten came up again? In this case the answer would be 1/38 (in terms of American Roulette), because any number could occur with the same probability 1/38 in every new spin. That is what we call a simple event in contrast with a multiple event(s) whereas the probabilities of individual events are multiplied (→ Articles on Probability).
The true odds for a 1 to 10fold repetition of the same number are shown in the table below. It is the same mechanism as if a sporting bet company or a casino offered the odds for a victory of some home team in some football match (→ The Odds Determination and Calculation).
The Same Number Comes Up in a Row | True Odds to One in FRENCH Roulette | True Odds to One in AMERICAN Roulette |
---|---|---|
37 | 38 | |
2˟ | 1,369 | 1,444 |
50,653 | 54,872 | |
4˟ | 1,874,161 | 2,085,136 |
69,343,957 | 79,235,168 | |
6˟ | 2,565,726,409 | 3,010,936,384 |
94,931,877,133 | 114,415,582,592 | |
8˟ | 3,512,479,453,921 | 4,347,792,138,496 |
129,961,739,795,077 | 165,216,101,262,848 | |
10˟ | 4,808,584,372,417,850 | 6,278,211,847,988,230 |
The odds are reciprocal values of the probabilities – the higher they are, the lower the probabilities are. The case of the above-mentioned record series is marked green. Consider also the difference that is made by one extra number in American Roulette (the double zero).
Record Repetition of the Same Color in Roulette
Choctaw casino hours. There are no exceptions that the same color appeared more than 20 times in a row in practice. The record was registered in 1943, when red color came up 32 times in a row! The probability of such event in French Roulette is
(18/37)32 = 0.000000000096886885
with the corresponding odds 10,321,314,387:1
.The probability of the 32fold repetition of the same color in American Roulette is much more lower:
(18/38)32 = 0.00000000004127100756
and the odds are 24,230,084,485:1
. Thus this is even less likely than occurrence of a single number six times in a row. Again it is clearly demonstrated what kind of importance (a negative one for players) has just one extra number in American Roulette.Now imagine that you used the Martingale betting strategy (→ see the first test of the Martingale system), whereas the next bet is doubled if your bet loses..
→ Testing & Simulations of Roulette Bets & Strategies
House edge is what makes casinos their profit. Each game has a small percentage built into it, ranging from less than 1 to more than 7%. Players can win money over short periods, though in the long run the house will make a profit equal to the edges they have in the games multiplied by the bets made. We explain the house advantage edge of different roulette games. Roulette lies in the mid-range for casino games when it comes to the house edge. This article provides information about the edge of play so a player has any idea how to play responsible. After this information this article will explain customers how bonuses and comps can reduce the casinos advantage. The following thing in this article is about the roulette betting system and its interaction with the house edge. Finally customers will find recommendations of online roulette casinos for both US and worldwide players.
Odds & edge roulette calculator
Roulette Payout Shortcuts
Bet | Payout | Odds European roulette | Odds American roulette |
Even / Odd (18 numbers) | x1 | 48,65% | 47,37% |
Red / Black (18 numbers) | x1 | 48,65% | 47,37% |
Low / High (18 numbers) | x1 | 48,65% | 47,37% |
Dozen (12 numbers) | x2 | 32,43% | 31,58% |
Column (12 numbers) | x2 | 32,43% | 31,58% |
Double Street (6 numbers) | x5 | 16,22% | 15,79% |
First Five (5 numbers) | x6 | 13,51% | 13,16% |
Corner (4 numbers) | x8 | 10,81% | 10,53% |
Street (3 number) | x11 | 8,11% | 7,89% |
Split (2 numbers) | x17 | 5,41% | 5,26% |
Straight (single number) | x35 | 2,70% | 2,63% |
![Payout Payout](https://i1.wp.com/www.wikihow.com/images/7/74/Win-at-Roulette-Step-8-preview.jpg?resize=665%2C374)
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How the roulette house edge can help customers by choosing the right game
There are three main types of roulette. The US wheel, the European wheel and the French roulette. Each roulette game has its own house edge. The house edge of the US wheel is 5,26%, for European roulette the house edge is 2,7% and the French roulette uses a house edge of 1,35% but this is even bets only. the extra ‘Double Zero’ on the US wheel makes an outsized difference, almost doubling the casino house edge. All even money and 1/3rd bets lose when either zero is hit, which is a bigger disadvantage to players. This is what drives the ‘golden rule’ or Roulette games. Customers should forget patriotism, and always choose the European wheel when they have the chance! French roulette has an even lower house edge. This is due to an additional rule known as ‘Le Partage’. This returns half of the stake of even money bets when the zero slot is hit. This format is less common online. The very low house edge in this format means that many casinos exclude this game from bonus play-though requirements.
Payout On Roulette Wheel
How to reduce house edges with bonuses and comps?
Players can significantly reduce the house edge of an online roulette game with the use of bonuses and comp point schemes. With so many casinos competing for a persons business, there is no reason to stay with one that does not offer ongoing deals and promotions to keep the bankroll of a player topped up. There are two things to look for when comparing how much bonuses will help customers to reduce casinos’ advantage. First is the play-through or wager-through requirement. This shows how many times a customer needs to bet its bonus amount before the bonus cash can be withdrawn. Next is the percentage contribution that each live game makes towards this play through. Typically, slots are 100%, many table games are 25% and Roulette is between 10% and 20%. French Roulette is often excluded all together.
Single Zero Roulette Payouts
Many people will try and sell betting systems that claim they will beat the house edge for roulette games. Players will have to realise that these strategies won’t work over long term. If lucky, a person will have a short term beat of the house edge. Down below, there are two recommendations for players who are looking to keep the house edge at a minimum while they enjoy real money online roulette games.