Numbers On A Roulette Table Add Up To
First time roulette players oftentimes assume that the numbers on the roulette wheel simply go in sequence from 0 to 36. In fact, the numbers are aligned in a seemingly random order around the wheel, and the sequence is different depending on whether you are playing European or American Roulette.
American Roulette Wheel
The American roulette wheel has all of the numbers from 1 to 36, plus a 0 and a 00 square, for a total of 38 possible numbers. The numbers are purposefully arranged in a non-sequential order. Originally this was done to avoid cheating on early roulette wheels (old fashioned roulette wheels often had a bias to one side of the wheel or the other, which would have made it easier to win if the player knew which set of numbers won more often).
Today, the placement of the numbers on the roulette wheel does not make a big difference in American roulette (roulette wheels are much more precise and a “biased” wheel is very rare in modern casinos). The order of the numbers going clockwise are as follows:
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0, 28, 9, 26, 30, 11, 7, 20, 32, 17, 5, 22, 34, 15, 3, 24, 36, 13, 1, 00, 27, 10, 25, 29, 12, 8, 19, 31, 18, 6, 21, 33, 16, 4, 23, 35, 14, 2
So the best roulette bet is betting on areas of the wheel. In fact it’s the only way to change the odds of winning at the table. But there’s a catch. If your roulette system was accurately predicting the winning number (or winning area of the wheel), you will have increased.
European Roulette Wheel
Much like the American roulette wheel, the numbers on the European version are also ordered in a seemingly random sequence, but the order is completely different than the American Roulette version. The sequence of numbers on the European Roulette wheel are as follows:
0, 32, 15, 19, 4, 21, 2, 25, 17, 34, 6, 27, 13, 36, 11, 30, 8, 23, 10, 5, 24, 16, 33, 1, 20, 14, 31, 9, 22, 18, 29, 7, 28, 12, 35, 3, 26
However, unlike the American version, in European roulette the order of the numbers is important when it comes to betting. On the European roulette table, you will notice there is an extra section that is not on the American roulette table at all. It looks like this:
This section of the European roulette table offers a number of extra bets based on where the numbers are located on the European roulette wheel. The extra available bets are:
- Neighbor Bets: A neighbor bet is a wager placed on any number on the oval portion of the table shown above. This bet places a straight bet on the number selected, plus 2 numbers to the left and two numbers to the right as they are arranged on the European roulette wheel. For example, placing a neighbor bet on “0” would place a straight bet on 0, 3, 15, 26, and 32. If you look at the diagram of the European Roulette wheel above, you will see that the numbers 3, 15, 26, and 32 all surround the number 0 on the wheel.
- Voisins du Zero: This bet is a wager on 0, on the 9 numbers to the left of 0, and on the 7 numbers to the right of 0 as they arranged on the European roulette wheel. Bets are split between numbers that are next to each other on the rectangular table. 2 chips are placed on the 0, 2, 3 trio; 1 chip is placed on the 4-7 split; 1 chip is placed on the 12-15 split; 1 chip is placed on the 18-21 split; 1 chip is placed on the 19-22 split; 1 chip is placed on the 32-35 split; and 2 chips are placed on the corner of 25/26/28/29.
- Tiers du Cylinre: This bet is a wager on numbers that make up one third of the European roulette wheel (33, 16, 24, 5, 10, 23, 8, 30, 11, 36, 13, and 27). All of the bets are split between numbers that are next to each other on the rectangular section table.
- Orphans: This bet is a wager on the numbers 1, 6, 9, 14, 17, 20, 31, and 34. Bets are split between numbers that are next to one another on the rectangular table. The number 1 has a straight bet placed on it and the number 17 has two split bets placed on it; one with number 14 and another with number 20.
Numbers On A Roulette Table Add Up Total
All of the above European roulette bets still pay out the same odds as any other bet in roulette. Making one of these bets is simply a way of placing a series of bets on a specific section of the wheel without having to do all of them individually.
If you want to learn more about how to play and win at roulette, check out the roulette strategy guide, or some of our other roulette articles: the difference between American and European Roulette, how to make roulette bets, all about roulette odds, the roulette glossary.
Jeff White
Jeff has been an active gambler from the age of 18 when he won a small local poker tournament in San Jose, CA. He moved on to playing other casino games shortly thereafter, with a great interest in the statistics and mathematics involved. He has studied the historical gambling systems of nearly every popular casino game played today, and has written strategy books for several of them including blackjack, slot machines, craps, and roulette. Jeff has been a daily contributor to the Silver Oak Casino blog since the beginning of 2009.
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Albert Einstein supposedly once said: “No one can win at roulette unless he steals money from the table while the croupier isn’t looking.”
Although I wouldn’t normally question Einstein, this statement isn’t true. In fact, you can use Einstein’s specialist subject, physics, to help you win. Or you can find a biased wheel that makes some numbers more likely to come up.
What Einstein actually meant was that there is no mathematical trick that can help you win at roulette. Each spin is an independent trial and, in the long run, the casino will win. This is different to a game such as Blackjack where the probabilities change as cards are dealt.
But some believe that it is possible to exploit the way the roulette wheel, and the betting cloth, is laid out to give themselves an advantage. The idea is that you can make bets on the layout in a way that you are guaranteed to win. But is this really possible?
Roulette wheel layout
Like a dartboard, the layout of a roulette wheel did not come about by accident. It was carefully planned and exhibits certain properties. In fact, there are two different layouts. An American wheel and a European wheel. The two layouts are shown below.
Notice that the American wheel has two zeroes. This is important as it doubles the advantage for the casino. On a European wheel you would expect to lose, in the long run, 2.7% of any money you bet with. On an American wheel you can expect to lose 5.26% (if you are interested in the mathematics of roulette, the video at the end will show you how these odds are calculated).
The numbers are arranged in a different order on each wheel but there are some similarities in the patterns. On both wheels, the red and black numbers alternate around the wheel, although if you removed the zeroes, the American wheel would have consecutive reds and blacks. The wheels are also structured so that the low numbers (1-18) and the high numbers (19-36) should alternate as much as possible.
On a European wheel, this is only violated where the 5 sits next to the 10 (both low numbers). On the American wheel, there are many examples where this rule is violated. It is for this reason that the American wheel is considered not as balanced as the European wheel. Both wheels also try to distribute odd and even numbers as evenly as possible. But again there are a number of violations of this rule on both wheels.
On the European wheel there are two other interesting symmetries. First, all the low red numbers and black high numbers are on one side of the zero, and the high red numbers and low black numbers are on the other side. Second, the sequence 29-7-28-12-35-3-26-0-32 contains no numbers between 13 and 24 (the second dozen). You can place a bet on the whole of the second dozen, with odds of 2-1.
So, can we beat the maths?
A simple search on Google will return many (possibly millions) of systems for playing (and supposedly winning) roulette. Some easy, some complicated, some well described, some not so.
A system should really be a combination of a playing strategy and a money management strategy. Perhaps the best known money management strategy is the Martingale system. This system is guaranteed to win money as long as you have enough of a bankroll to double your bet after every loss and you do not hit the table limit, which you will quickly do so. The Martingale system is probably the quickest way to bankruptcy known to man.
Whatever betting strategy, and money management strategy, you choose, they all suffer from the same fate. Assuming that each number on the wheel has the same probability of being selected – meaning the wheel is not biased – the maths means the casino will always win. The system may look good, and may work in the short term, but when one of the numbers comes up that you have not bet on you will lose and the casino will move towards its win expectation (2.7% or 5.26%).
Some systems involve betting on many numbers, perhaps 20. In this case, you will win quite often as you are covering more than half of the numbers. But when one of the numbers does not turn up (and it will almost half the time) you lose all of the 20 bets you have made. This will often wipe out any wins to date.
Any system, so far devised, can be analysed to show that there is a win expectation for the casino. The following video shows the maths.
You might as well place a single chip on the same number every time and hope that it appears more than it should during the short time that you are playing.
Numbers On Roulette Table Add Up To
We can dress up the layout of the wheel, the layout of the betting cloth, our number selection and our money management system however we like, but the maths is always there, quietly working against us. You might as well just have fun, pick random numbers and trust to Lady Luck. Either that, or do as Einstein suggested and steal chips (not that we’d recommend it).