Roulette Next Number Calculator

Low (1-18) and High (19-36) numbers alternate as much as possible. You will rarely see a low and a high number next to each other in European roulette – the only exception being 5 and 10. The American wheel doesn’t do a pretty good job at this, and there are many low and high numbers that are adjacent to each other. An example of a completely ineffective calculator is one which tracks repeat numbers. For example, it’s a common misconception that hot numbers are more likely to repeat. A hot number is basically a number that has spun more frequently than others, at least in recent times. A hot number calculator is the simplest example. The app tells you about repeated numbers, delay in specific kind of numbers and the last 20 numbers. It also shows a graphic which presents the behavior of the roulette. Besides the calculations of probabilities, the app provides betting progressions such as six martingale systems, Labouchere, Labouchere inverse and D'Alembert.

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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 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.

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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.

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The casino deals in long-term averages, especially when it comes to roulette.

Roulette Bets and Their Payoffs

Roulette Next Number Calculator Estimate

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:

  • 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.

Roulette Next Number Calculator Excel

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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You may have read about players winning vast sums with hidden calculators. “Roulette calculators” is another name for roulette computers.

The Basics Of Roulette Calculators

Essentially they are hidden electronic devices that measure the variables of the roulette wheel. Most commonly, the variables are the ball speed, the rotor speed, and the deceleration rates of each. At least this is how a typical roulette computer works.

Usually to determine the rotor and ball speed, the player clicks a hidden button. This button is usually hidden under the player’s toe, inside their shoe. You may assume that the ball or wheel is too fast for the players clicks to have any accuracy. Generally most players are able to make timings within 50 ms accuracy. This is usually fine when the rotor is slower. But errors in calculations snowball over time, and especially with faster rotors.

Timing Errors and Inaccuracies

There are a few ways to deal with timing errors, as discussed below.

Firstly, the player can take timings of multiple revolutions. If only one revolution is timed, the errors can be manageable. Essentially if calculations are based on inaccurate measurements, then inevitably the predictions won’t be accurate.

Secondly, multiple players can be used to take timings of the same revolutions. For example, the players may require a very early prediction. Perhaps they only have time to measure the speed of one ball revolution. A single player measuring such timings with a hidden button cannot be accurate. However, two or more players measuring the speed significantly reduces errors in calculations. As far as we are aware, the only roulette calculators that have this ability are here.

Ineffective Calculators

To this point, the only roulette calculators discussed are roulette computers. But there are in fact many different types of calculators, although most have little to no effect. These are the typical calculators used for online casino roulette, where there is no physical roulette wheel.

An example of a completely ineffective calculator is one which tracks repeat numbers. For example, it’s a common misconception that hot numbers are more likely to repeat. A hot number is basically a number that has spun more frequently than others, at least in recent times.

A hot number calculator is the simplest example. There are considerably more complex calculators, which are equally ineffective. It is common gambler’s fallacy when the player thinks a pattern exists, which does not exist in reality. A simple way to determine if a theory is fallacy, is to test carefully. But you can’t just test with short-term data. Short-term results are meaningless and subject to variation. Basically in the short term, anything can happen.

The emphasis of testing should be on whether or not the best selection method increases the accuracy of predictions. Put into a practical context, you’d know there are thirty-seven numbers on the European roulette wheel. So statistically, if you bet on one number, you would win an average of one in thirty-seven spins. The payout is just 35-1, which means payouts are unfair. This is the house edge of -2.7%. So even when you win, you still lose because the payouts are unfair.

So how can you overcome the unfair payouts? The only way is by increasing your accuracy of predictions, to be significantly better than random. In this case, random is one in thirty-seven.

Determining The Accuracy Of Calculators

Testing roulette computers is very tricky business. You need to know exactly what you are looking for. As a general rule, testing any method, including roulette computers or calculators, you need to compare statistical averages to long-term results in trials. It is important to understand the roulette odds for comparison.

If for example you only considered thirty-seven spins, while betting on just one number, you may win three or so times. If you calculate your success rate, it would appear that you had an edge over the casino. If a different player on another table used the same system, they may get zero hits in thirty-seven spins, indicating their system didn’t work at all. If you base success rates only on the bare results such as this, you won’t have a clear understanding of the effectiveness of your system or calculator.

Roulette Next Number Calculator Formula

Typically with calculators such as roulette computers, the success is measured in a direct number hit rate. For example, one in fifteen spins. This means the player can expect approximately one win every fifteen spins, if they were betting only one number. Again this data alone is insufficient to measure accuracy. Therefore not only the direct number hit rate is considered, but also how frequently the ball landed close to the predicted number. If this information was placed on a chart, the effectiveness of a roulette computer is easy to see and verify.

Roulette Next Number Calculator Online

In most cases, the chart will display more than one area where the ball is landing. These areas are called peaks. It is not uncommon to have two or three peaks on a chart. Usually the number of peaks corresponds to the number of dominant diamonds. A dominant diamond is simply a metal deflector that the ball hits more frequently than others.

To better understand the effect of dominant diamonds, consider the following. If you have a wheel at home, keep the rotor static and do not spin it. Just spin the ball very softly. After around ten or so spins, you will find the ball tends to hit specific diamonds more than others. Note the number under a particular diamond. For example, number 0 may be at a specific point. Again keep the rotor static and do not spin it. After each spin, measure the distance in pockets between your reference number, and the winning number. Place these distances on a chart with the x-axis values being 0 to 37. You will find almost always the number of dominant diamonds corresponds to the number of peaks on your chart. So if you have two particular diamonds that are always hit by the ball, you will have two clear peaks on your chart. The main difference in real play is the rotor is spinning too, but the physics is all the same.

Testing roulette calculators like roulette computers is far more involved, because there is far more to consider than plain statistics. Firstly you need to determine if the method of timing acquisition is accurate. Already with manual clicks of a hidden button, there is around 50 ms of error. While this can be reduced with methods such as multiple clicks and multiple revolutions, there is still some error. But with a correctly designed calculator, the overall errors from timings are negligible. There are also various other problems that need to be solved by accurate algorithms and calculations. For example, the ball deceleration rate is not linear, and is subject to constant change. Therefore robust methods must be used to test such algorithms. Further details of testing is beyond the scope of this article.

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