Roulette Color Probability

• Roulette Color Probability Games
• Roulette Color Probability Meaning
• Roulette Color Probability Chart
• Roulette Color Probability Definition

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.

Roulette Calculator - Enter your bet amount and then press a button below where the ball lands Calculate the roulette probability of (13-24) along with the expected return on your $10.00 bet.

But knowing this doesn’t change the odds of winning on the next spin. For example, you could wait for 10 consecutive reds, and have two options: Option 1: Expect the color streak will continue, and bet on red. Option 2: Expect black is due, and bet on black. Let’s assume green zero doesn’t exist. So which option would you take? Roulette Color Bet Odds. So, what is the probability that a red ball will appear most? Let’s assume that you are playing on a European roulette wheel. The odds of red appearing here are 18 over 37 or 1 in 2.06. The following chart highlights the probabilities of the same colour appearing over a certain number of spins of the roulette wheel. Example: The probability of the same colour showing up 4 times in a row is 5.6%. A graph to show the probability of seeing the same colour of red/black (or any 'evens' bet result for that matter) over multiple spins. While online roulette betting calculators are useful in helping players determine the size of their base betting units, the effect they have on your bets winning or losing is equal to nil. In addition, if you search online, you may be able to find a range of roulette calculators that compute the probability of winning with specific roulette bets.

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 1^st third (1-12), 2^nd third (13-24), and 3^rd 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:

• 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.

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.

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?

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:

Roulette Color Probability Games

(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).

Roulette Color Probability Meaning

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

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.

Roulette Color Probability Chart

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...

Roulette Color Probability Definition

→ Testing & Simulations of Roulette Bets & Strategies