Then came Triple Zero Roulette. This devious wheel now has 39 spaces to work with, so single-number bettors face a much higher house edge (1/39 = 7.69%). As do outside bettors, (-1 x 18/39 + 1 x 21/39 = 7.69%). Thus, when you play Triple Zero Roulette over the now standard double-zero version, the odds against you swell to become worse. The house edge for this Roulette wheel drops to 2.70% which provides the player much better odds. Sometimes you also have the “en prison” rule. For the double zero Roulette this drops the house edge to 2.63% and for the single zero Roulette the house edge drops.
Roulette offers a bewildering number of betting options, but the bets are actually straightforward enough. In order to make sure you get the correct payout, you’ll want to make sure that you put your chips in exactly the right place on the table. Missing a payout because your chip isn’t in the right spot is a drag.
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.
Payouts on the Outside Bets
On the edge of the table are a series of bets which are “outside” the 38 numbers on the table. Each of these bets refers to a specific set of numbers or colors. If the ball lands on 0 or 00, you’ll lose on any of the outside bets.
The outside bets include:
Red or Black – This bet pays out even odds (1 to 1) if the ball lands on the color you chose.
Odd or Even – This bet pays out even odds (1 to 1) if the ball lands on odd or even, depending on which you chose.
Low or High – This bet pays out even money (1 to 1) if the ball lands on 1-18 if you bet low, or if the ball lands on 19-36 if you bet high.
Columns – The numbers on the layout are organized into three columns of twelve numbers each. A “columns” bet wins if the ball lands on one of the numbers in the column you chose. This bet pays out 2 to 1 when you win.
Dozens – There are 36 numbers on the table, so you can bet on the first dozen (1-12), the second dozen (13-24), or the third dozen (25-36). This bet also pays out 2 to 1.
Payouts on the Inside Bets
You can also bet on specific numbers and sets of numbers on the inside of the layout. These bets win less often, but they pay out more when you do win. The house edge on the inside bets is the same as the house edge on the outside bets.
The inside bets include:
Straight-up – This is a bet on a single number. It pays off at 35 to 1.
Split bet – This is a bet on any two adjacent numbers. You place the chip on the line between the two numbers in order to make this wager. This bet pays out at 17 to 1.
Street bet – This bet covers three numbers. You place your bet on the line outside of the three numbers in the row where you want to win. This bet pays out at 11 to 1.
Corner bet – Some people call this a square bet or a quarter bet. It’s a bet on a corner that makes a square, and it’s a bet on four numbers. A win on this type of bet pays out at 8 to 1.
Five-number bet – You can only make one five-number bet, and it’s the only inside bet that offers different odds from all the others. The problem is that it has a higher house edge, making it the worst bet on the table. This bet is on the numbers 0, 00, 1, 2, and 3, and you place the chip on the outside corner line between the 1 and the 0. This bet pays out 6 to 1, but only masochists place this bet.
Six-number bet – Some people call this a line bet. It covers two adjoining rows of numbers. It pays out at 5 to 1.
How Roulette Payouts Give the Casino an Edge
These payouts all have one thing in common—they pay out less than the true odds of hitting a win. That’s why the casino enjoys a house edge of 5.26% on roulette. Your odds of winning are always less than the payout amounts.
For example, the odds of winning a straight-up bet are 37 to 1. There are 37 numbers on the wheel that lose, and 1 bet on the wheel that will win. But the bet only pays out 35 to 1, not 37 to 1, so the house wins more often than it loses.
A split bet offers you odds of winning of 18 to 1, but it pays off at 17 to 1.
I could list all of them, but you get the idea by now. The casino has an unassailable mathematical advantage on every bet. No betting system or strategy can overcome this advantage.
Of course, in the short run, anything can (and often will) happen. This is called “standard deviation”, and it explains why some people walk away from the roulette table as winners. The mathematically true results only come around the closer you get to an infinite number of spins.
So the best way to approach roulette is as a lark. It’s a fun game. You can relax and socialize while you play. But don’t expect to win, because the odds are against you. And if you do win, walk away and smile, because you beat the odds.
The house edge (also known as house take, or house advantage) is the major source of income for casinos. In fact, establishments such as these have predetermined payout odds for every table game they offer in order to score profit from each bet placed by their visitors. In some cases the house edge may appear to be insignificant, but, this does not mean it does not have the potential to ”consume” the bankroll of a player bit by bit.
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As we already pointed out, players are able to choose from a variety of bets at the roulette table. With that many betting options available, there are people who doubt that the advantage of the house remains one and the same. This is especially valid for people, who have knowledge of games such as craps, where the edge of the house ranges between less than 1% and more than 16%. Therefore, people with little or no knowledge of roulette may require a more profound understanding of the way the house edge is estimated.
How to calculate the house advantage
Let us use the French roulette wheel as an example again. Despite that the wheel offers 37 possible winning numbers, a player will receive a payout of 35 to 1 for a bet on a single number. Or, for winning a bet of 1 unit the casino will pay him/her 35 units plus the initial bet. For a straight-up bet the probability of success is 1/37 (1 chance out of 37), but the player will receive 36 units, while the difference of 1 unit (37 minus 36) represents the house advantage. If we multiply the house edge by the probability of success and present the result as a percentage, we will come to the following:
1 x 1/37 = 0.0270270 x 100 = 2.70270 , or a rounded 2.70%.
Another way to come to this result is to multiply the difference between the actual odds for a loss and the house odds by the probability of success:
HOUSE EDGE = (Odds against Success – House Odds) x Probability of Success
If expressed as a percentage:
House Percentage = House Edge x 100.
Since
Odds against Success = Ways to Lose / Ways to Win
and
Probability of Success = Ways to Win / Ways to Win + Ways to Lose,
for one straight-up bet the odds against success are 36:1 (36/1), the house odds are 35:1 (35/1) and the probability of success is 1/37. If we use these numbers in the House Edge formula above, we will come to the following:
House Edge = (36/1 – 35/1) x 1/37 = 1/1 x 1/37 = 1/37 = 0.0270270.
Therefore,
Double Zero Roulette Wheel Layout
House Percentage = 0.0270270 x 100 = 2.70%
The same is valid for other inside bets. Let us take corner bets (four numbers), for example. In this case the odds against success are 33 to 4, the house odds are 8 to 1, while the probability of success is 4/37 (4 / 4 + 33). In order to place these numbers into the formula above and be able to subtract fractions, we need equal denominators. Right now we have 33/4 and 8/1. Therefore, we have to multiply the numerator and the denominator of the fraction expressing the house odds by 4/4. Or 8/1 x 4/4 = 32/4. This way we will come to the following:
33/4 – 32/4 x 4/37 = 1/4 x 4/37 = 1/37 = 0.0270270
The House Percentage is 0.0270270 x 100 = 2.70%
Understanding Roulette House Edge
Roulette Number Sequences American Roulette European Roulette French Roulette Classic Roulette Bets ![]()
As we can see, the edge of the house for a corner bet is exactly the same as that for a straight-up bet.
Someone may ask what the case with even-money outside bets will be. Let us bet 1 unit on black. There are 18 black numbers, which means we have 18 ways to be successful. Also, there are 18 red numbers and one green single zero, which means there are 19 ways to lose. So, the odds against success are 19 to 18 and we are aware that the house odds are 1 to 1. The probability of success is 18/37 (18 / 18 + 19). In order to place these numbers into the formula and be able to subtract fractions, we need equal denominators. Therefore, we have to multiply the numerator and the denominator of the fraction expressing the house odds by 18/18. Or 1/1 x 18/18 = 18/18. We will come to the following:
19/18 – 18/18 x 18/37 = 1/18 x 18/37 = 1/37 = 0.0270270
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The House Percentage is 0.0270270 x 100 = 2.70%
Again we come to one and the same result.
The exception
The only exception is the sucker bet, which can solely be placed on the American roulette wheel. Since it is a bet on five numbers (00, 0, 1, 2, 3), the probability of success is 5/38. The house odds are 6/1 and the odds against success are 33/5. We have to multiply the numerator and the denominator of the fraction expressing the house odds by 5/5. Or 6/1 x 5/5 = 30/5. We will come to the following:
33/5 – 30/5 x 5/38 = 3/5 x 5/38 = 3/38 = 0.0789474
The House Percentage is 0.0789474 x 100 = 7.89%
Or, we can say ”Ouch! That hurts!”. The house edge, in this case, is even greater than with any other bet placed on the double-zero wheel (5.26%).
Payout For Double Zero Roulette
The bottom line is that a reasonable player will always abstain from making this bet!
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