What are the roulette odds of the ball landing in the same colour ten times in a row? What about landing on the same number twice? Let´s take a look, and then we´ll explain how this relates to the Gambler´s Fallacy, or the Monte Carlo Fallacy- the belief that the odds of a black number coming in increase, the more times you see red.
Let´s look at a European Roulette wheel. Over a single spin, the odds of a red number coming up are 18/37, or 1 in 2.06. Over 2 spins, the odds of 2 reds coming in are 1 in 2.06×2.06, or 4.24.
The odds of seeing 10 reds in succession are 1 in (2.06) to the power of 10 = 1 in 1376.
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If we bet $1 on red and green or black occurs, then we lose the dollar that we bet. This results in net winnings of -1. The random variable X defined as the net winnings from betting on red in roulette will take the value of 1 with probability 18/38 and will take the value -1 with probability 20/38. To calculate the house edge in roulette, we multiply the difference between the true odds against winning and the casino odds by the probability of winning. On a double-zero wheel, the odds against winning with a Straight Up bet are 37 to 1 but the house pays only 35 to 1 which results in a house edge of 5.26%.
T´s & C´s
For example, the odds of winning on a European roulette wheel are 1 in 37 if you bet on a single number. But with a roulette computer device, you could win as often as 1 in 10 spins. So you will have more than tripled your odds of winning, making the typical roulette odds somewhat irrelevant.
A Look at 0, 00 and Row Payouts in Roulette Published on August 18th, 2018 8:40 pm EST There are two types of roulette wheels - the American roulette wheel and the European roulette wheel. The American roulette wheel features the green 0 and 00, while the European roulette wheel features just the single green. Green Zero in Roulette: Know the Rules. European roulette has a house edge of 2.63% as opposed to American roulette’s 5.26%. This is the reason why most players prefer European roulette because it gives them better odds to win. However, knowing how to use the green zero in American roulette can also be advantageous. In American roulette, you.
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Pretty low odds that you´ll ever see this, in other words. But that doesn´t mean it isn´t going to happen. In fact, the longest number of reds in a row was recorded in an American Casino in 1943 when 32 came up in a row. Now imagine that you were betting the Martingale that day! The odds of seeing that are 1 in 11 million, or thereabouts by the way.
Another huge streak (this time on black) was seen by the players at the Casino in Monte Carlo who saw 26 blacks in a row on the table on 18 August 1913. The odds of this happening? A mere 1 in 145,000.
And this gave name to the Monte Carlo Fallacy, otherwise known as the Gambler´s Fallacy, as the longer the streak went on, more and more people started piling their chips on to red. And they lost a lot of money.
So what happened?
Gambler´s Fallacy
The important thing to understand and to get your head around, is that these are odds over multiple spins. And here´s the thing. In roulette, you can´t bet on what is going to happen over 10 spins, you can only bet on the next spin. And thus the odds are always the same – 18/37, whether the red came in 10 times previously or not. The wheel has no memory from spin to spin. It is not a living thing.
Tip for Martingale Players
Martingale System Players are often susceptible to long runs as they double their bet after a loss. Start your first bet low if you employ this strategy to give yourself the most room for manouevre
See The Martingale Strategy You are Betting on One Spin Not Multiple Spins
When you are betting on one spin, the odds are for one spin, and for one spin only.
When you are betting on one spin, the odds are for one spin, and for one spin only.
One things for sure about the Gambler´s Falllacy- the casinos love it! Don´t get sucked in, keep your thinking hat on.
One thing’s for sure- there are plenty of people who have worked out that the odds are with the casino on roulette, and have opted to scam the casinos instead, like the roulette scam in Ohio. Just be warned- that’s illegal. They got busted.
FAQs Roulette Probabilities
- What are the odds of seeing 10 reds in a row on a roulette wheel? The odds of seeing 10 reds one after another are 1 in (2.06)10 = 1 in 1376. But remember, you cannot bet on 10 spins, only on a single spin. Here the odds are 1 in 2.06
- What is the definition of the Gambler’s Fallacy in roulette? The Gambler’s Fallacy is the incorrect belief that a certain event like flipping a coin or the ball landing on a black number is more or less likely, due to a previous sequence of events.
This is incorrect for mutually exclusive events because each event is independent with a result that has no relation to past events. Think about it this way. Is the wheel thinking after each spin, “I spun a red last spin. Let´s throw in a black to even things up.” No.
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For the most part, calculating roulette payouts is just a matter of multiplication. Each bet pays out at certain odds, and that determines what you multiply the bet by to get the payout. Also, as with most table games, the payouts are done on an X to Y basis, as opposed to an X for Y basis.
This post wants to cover roulette payouts in some degree of detail, though, including how much each bet pays off.
More importantly, I want to explain how the croupier is able to calculate payouts for roulette so quickly. Guess what? They have a system for that.
![Payout Payout](https://upload.wikimedia.org/wikipedia/commons/thumb/7/7d/European_roulette_wheel.svg/180px-European_roulette_wheel.svg.png)
Payout Odds in Gambling
When you’re gambling on something, you get paid off using odds. Some games offer even odds, which means that if you bet $100, you win $100 when you win.
Most games, though, have various payouts for various kinds of bets.
The top jackpot on a video poker machine pays off at 800 for 1.
And that’s an important distinction. There’s a big difference between a payoff of 800 for 1 and a payoff of 800 to 1.
With table games like roulette, the payoffs are in the form of 2 to 1, 3 to 1, 35 to 1, etc.
This means that if you win the bet, you get to keep the amount you bet, and you get the winnings along with it.
If you bet $100 on a single number at the roulette table and win, you get a payoff of $3,500. But you also get to keep your $100.
With gambling machines, payouts are made on a “for” basis instead of a “to” basis. This means your winnings are traded for what you risked.
If you bet $5 on a slot machine and win a $10 payout, you don’t get your $5 back on top of that.
This is an important distinction you should make. Most gamblers don’t stick just with roulette, so if you’re going to play other games — and you probably will — you should understand how that works.
Specific Payouts in the Game of Roulette
In roulette, you have a huge variety of bets you can place. You bet on a single number. Or you can bet on two numbers — if either of those numbers come up, you win. Or you can bet on three numbers, and if any of those three numbers come up, you win.
The more likely it is for you to win, the lower the payout is.
A bet on black wins almost half the time. The payoff for that bet is only 1 to 1, or even money.
A bet on a single number pays off at 35 to 1, which is a big payoff, but it also only wins 1 out of every 38 spins on average.
The Difference Between the Odds of Winning and the Payout Odds
The casino makes its money from the difference between the odds of winning and the payout odds.
You know how you can express the payout on a bet as odds?
35 to 1 is an example of how you’d express a payoff on the single number bet.
The odds of winning can also be expressed in the same way.
On a standard American roulette wheel, you have 37 ways to lose a single number bet and only one way to win.
This means the odds of winning are 37 to 1.
Since the odds of winning are lower than the payoff for the bet, the casino makes a profit in the long run.
Once out of every 38 spins, they’ll pay off a single number bet, but they’ll only pay off 35 to 1 on that bet. The rest of the money goes into the casino’s pocket.
The casino deals in long-term averages, especially when it comes to roulette.
Roulette Bets and Their Payoffs
Here’s a list of bets you can make at the roulette table and how much each of them pays off.
The Outside Bets
These are the bets on the outside of the betting surface, and they’re the bets that pay off the most often. As a result, you win less with these bets.
Here are the outside bets you can make:
- Red(or Black) – You can bet on the color of the number, and the payout is even money — 1 to 1
- Even (or Odd) – You can bet that the number will be even or odd, and the payout is again even money — 1 to 1
- Low (or High) – You can bet that the number will be 1-18 (low) or 19-36 (high). The payout is even money on this one, too
- Columns – The numbers on the betting surface are organized into three columns. You can bet that the ball will land on one of the numbers in that column. The payoff, if you guess right, is 2 to 1
- Dozens – The numbers can be divided into 1st third (1-12), 2nd third (13-24), and 3rd third (25-36). If you guess right, you get a 2 to 1 payout
On all these outside bets, 0 and 00 count as losses. Those numbers are green, and they’re not considered even or odd, high or low.
The Inside Bets
These are the bets on the inside of the betting surface. They pay out better but have a bigger chance of losing.
Here are the inside bets you can make:
Odds Of Hitting Green On Roulette
- Straight Up – This is a bet on a single number and pays off at 35 to 1
- Split – This is a bet on two numbers that are next to each other. It pays off at 17 to 1
- Street – This is a bet on three numbers, and it pays off at 11 to 1
- Corners – This is a bet on four numbers, and it pays off at 8 to 1
- The 5-Number Bet – You can only bet on 0, 00, 1, 2, and 3 if you want to bet on five numbers, and it pays off at 6 to 1. This is the only bet on the roulette table with a different house edge from the other bets — 7.89% (the other bets have a house edge of 5.26%)
- Line – This is a bet on six numbers and pays off at 5 to 1
All these bets would be a break-even proposition in the long run IF the wheel didn’t have a green 0 and a green 00.
How the Croupier Makes the Payouts So Quickly
The first thing the croupier does after the decision is to clear all the losing bets off the roulette table. Since he’s intimately familiar with the layout of the betting surface, this doesn’t take long at all.
Also, all the players at the roulette table have chips that are specifically colored so that they have the same color. You can’t use the roulette chips at the other table. This enables the croupier to tell your bet from someone else’s. It’s the color of the chips.
To calculate the payouts, you just multiply the bet by the payout odds.
If someone bet two chips on a single number and it won, you’d multiply 2 by 35 and get 70. That’s how many chips you’d give the player in winnings.
He doesn’t really have a magical system, either. He knows the payouts for the various bets, and he’s able to do the multiplication in his head. It’s easy multiplication, but even if it weren’t, he’d eventually just be able to memorize the correct payout relative to the number of chips bet.
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Also, he doesn’t really think of the chips as money. They’re just betting units.
Can Any of This Information Help Me Win at Roulette?
Naw.
Roulette’s a negative expectation game.
You might get lucky in the short run, but if you play long enough, the math behind the payouts will eventually reduce your bankroll to 0.
Conclusion
And that’s how to calculate roulette payouts. You just memorize which bets are possible and how much they pay off. Once you know that, calculating the payouts is just a matter of multiplication.
Croupiers are able to do it quickly because they do it all day every day.
I’m able to make change in my head because I worked for years on cash registers that didn’t calculate change. I know how to subtract from 100 without any effort at all.
Calculating roulette payouts is a similar skill.
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