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.
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.
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 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.
Here’s a list of bets you can make at the roulette table and how much each of them pays off.
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:
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.
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:
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.
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.
Also, he doesn’t really think of the chips as money. They’re just betting units.
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.
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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