Probability Roulette Calculator
How to Quickly Calculate Roulette Odds and Payouts for Any Bet. The three most popular types of online roulette are American, European and French. While all three of these types of the game have their own differences, the core payout structure of all three of them happens to be the same. So what is the probability that the ball will fall on 17 in the next spin, for example? We can calculate it by dividing the number of ways to win by all possible ways – 1/37, which is 0.027. For most people, the probability is easier to understand as a percentage, so we simply multiply the decimal by 100 and we get 2.70%. True Odds in Roulette.
- Calculate Probability Roulette
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Since roulette is a game of chance, there is no way for players to predict with absolute certainty where the little white ball will land on the next spin. Yet, the main goal of all roulette players is to win and get the most from the game with their bets when they join the roulette table. One easy way to achieve this is to manage your bankroll efficiently.
There are several aspects of adequate bankroll management. The most important thing is to determine the size of your overall bankroll, or the amount of money you intend to set aside for a given betting session. The next step is setting a base betting unit for yourself or the amount of money you put on stake per spin.
Less experienced players, who have trouble deciding on the size of their base betting unit in relation to their overall bankroll, can resort to using the so-called roulette betting calculators. The said calculators are available online and often can be used free of charge. The use of these calculators can be especially helpful to players, who are looking to incorporate a specific betting system into their roulette session in order to generate more substantial profits.
| Outcome Probability = | 181212346 Numbers |
| 37 Total Numbers |
| Success Percentage = | 181212346 | x 100 = | 48.64%32.43%2.70%5.41%8.11%10.81%16.2% |
| 37 |
You Win =
Expected Return on your Bet =
How Does a Roulette Betting Calculator Work?
Using the roulette betting calculators available online is quite straightforward. The calculators aim at indicating what the most suitable base betting unit for a given player will be on the basis of their bankroll size. The base betting unit is the sum players put on stake on each spin of the ball.
It is important to remember that discipline plays a crucial role at the roulette table – the size of the base betting unit is meant to be a fixed constant that players stick to throughout their betting session. Sticking to the fixed unit ensures players are spending the optimum amount of time at the table while still being able to turn a decent profit whenever they experience a longer winning streak.
This is how the online roulette betting calculators work. All players are required to do is enter the exact amount of their bankroll in the respective field and click on the Calculate button. For example, let’s assume you have set aside £200 for a single roulette betting session. The calculator will compute three different betting units using this sum, namely a safe unit, a recommended unit and a high-risk unit. Which one you choose to adopt depends on the type of roulette player you are, more risk-averse player or a high roller.
Many roulette experts recommend players to use a base unit that amounts to 2% of the total bankroll and caution them to steer clear of using a unit that exceeds 5% of the sum, they are planning to spend on a single betting session. Inexperienced roulette players are often advised to stick to base units amounting to 1% of their bankrolls, at least until they figure out what betting strategy works best for them.
| Betting Units for £200 stake | |
|---|---|
| Safe (1%) | £2 |
| Recommended (2%) | £4 |
| High-Risk (4%) | £8 |
Safe Betting Units
If you enter £200 as the size of your overall bankroll, the calculator will compute that your safe betting unit amounts to £2. This unit corresponds to 1% of your overall bankroll. Sticking to a safe betting unit might enable players to prolong the time they spend at the roulette table. It is recommended for players, who are more cautious with their money and are satisfied with putting relatively small amounts on stake.
However, players who choose a safe betting unit should bear in mind there are maximum and minimum stake limits at landbased roulette tables. Often, it might be impossible to bet only £1 per spin since in landbased casinos, the minimum roulette bets usually start at £5. Nevertheless, this issue can easily be resolved by playing the game online. Many web-based gambling operators offer low stakes roulette variations where it is possible to make bets of £1 or even £0.50. So, if you decide to stick to a safe betting unit, you should consider joining a low stake roulette game from the comfort of your home.
Online Roulette Variations
Playtech Roulette
Microgaming Roulette
NetEnt Roulette
Betting Calculator
Recommended Betting Units
The second unit the calculator will compute is the recommended betting unit. You may notice that the recommended unit always corresponds to 2% of your overall bankroll, regardless of the sum you have initially entered. In our case, the recommended betting unit for a bankroll of £200 would amount to more than £4. This is, in fact, the ideal base unit since it allows players to optimise the time they spend at the roulette table, while at the same time giving them a rush of adrenaline on every spin of the ball.
Also, sticking to the recommended unit may help you minimise your losses in case you experience a longer losing streak since you will not be risking a substantial percentage of your bankroll on each spin. Roulette novices should remember that it is better to settle for smaller wins than parting with their entire bankroll in a few spins by putting heftier sums on stake.
High-Risk Betting Units
The roulette betting calculators available online also compute high-risk betting units, suitable for the type of player, who prefers to bet big and collect greater profits, respectively. The roulette betting calculator has computed a high-risk betting unit of £8 for the bankroll of £200, used in this example. The sum corresponds to 4% of the overall bankroll amount and is considered the highest, yet the safest bet limit in the game of roulette.
Players, who opt for using higher-risk bet units, are recommended to be careful when putting their funds on stake in order to prevent losing more money they are comfortable with. If you are anxious or get infuriated each time you lose on a spin, this might serve as an indicator the high-risk betting unit is not for you. If that is the case, you should consider reducing the size of your next bets to the recommended bet unit to prevent being tempted to bet too much when you suffer a losing streak.
Determining the Best Base Betting Unit
Online roulette betting calculators predominantly focus on giving players an idea of the best range of units they should put on stake at the roulette table. At the end of the day, it is up to players to decide on the amount they wish to bet per each spin. However, players are recommended to join the roulette table only with money they are comfortable playing with, and potentially losing.
If the thought of losing a given amount of money per spin makes you sweat with anxiety, you should avoid putting this sum on stake. It is of utmost importance to stick to the limits you have set for yourself and feel comfortable with. Remember the best betting unit for yourself is the one that allows you to maximise the time you spend at the roulette table without causing you to risk a substantial part of your bankroll.
Another thing to take into account is the fact that these calculators are meant to be used solely for reference purposes. In order to find a balance, players are recommended to experiment a little with their base betting units and adjust them until they find a unit they are most comfortable with.
Most importantly, when you have found the betting unit that works best for you, you need to stick to it when you join the roulette table, regardless of what happens. Sometimes, players are tempted to increase their betting units whenever they suffer a lengthy losing streak in an attempt to recoup their losses. However, there is no guarantee the next spin will result in winning, so increasing the bet units dramatically might end up costing you your entire bankroll.
A Few Words in Conclusion
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. Some calculators go as far as “predicting” which the next number to be spun will be.
There is one very important thing to remember, namely the fact there is no relation between the spins. Each spin is independent and does not affect the outcome of the spins that are to follow. This indicates all numbers on the roulette wheel have equal chances of coming up on the next spin, so there is no possible way to predict the outcome with absolute certainty. This practically renders calculators that compute the outcomes on the basis of previous winning numbers useless.
However, calculators that compute betting units might prove to be useful when it comes to players’ money management. But it is up to players decide whether or not they are comfortable with using the betting units, suggested by the calculators.
If you are planning to play at roulette online with real money, it is imperative that you become familiar with the probability of winning in a game. Hence, you must know how the Roulette probability calculator works. This is particularly important for roulette because each bet has a specific mathematical winning probability. The odds are impacted by the kind of roulette you will play and the rules applicable to it.
In this article, you will find the most asked questions about calculating the winning probability in a roulette online game.
You must also know that there is the gambler’s illusion: Red or Black? Casinos promote this illusion. That is why casinos show the statistics of past spins. Those statistics do not have a practical value, and they cannot be used as a guide to predict upcoming numbers and their colours. The roulette novices must know that each number is on a specific colour.
There are answers to important questions that are asked about roulette, which you must also take note of.
How to Calculate Probability in Roulette?
The roulette wheel has 37 equally sized spaces. Since this is the case, the ball will most likely land equally in any space. That means a roulette’s probability distribution is equal. This is different from American roulette probability because their wheel has 38 spaces.
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=These are the values that need to be calculated:
- Since there are 37 spaces, the probability of a ball landing on one of them is 1/37.
- There are 18 red spaces 18, so the chance of a ball landing on a red is 18/37.
- The black or green spaces equal 20, so the probability that the ball will not land on red is 20/37.
If you bet 1€ on red, and the ball lands on red, you will win it back, and the amount is doubled, so you profit 1€. If you bet 2€ on red, but the ball lands on green or black, you will lose your bet (-2).
Here, ”A” is used as the variable for the calculation to represent your winnings in roulette from red that takes the value of 2€. The probability is 18/37 and will take the -2 value with 20/37 probability. Here is how you should do the roulette probability formula:
P(Red) x A (value for red) + P(Not red) x A (value that is not red) = 18/37 + 2 + 20/37x (-1) = 0.4865.
Interpreting the results of the probability roulette calculator:
You must remember that the expected value’s meaning is used to interpret the results. The value you can expect is like the average measurement. It is an indication of what will happen each time you bet 2€.
Even if you win multiple times consecutively, you will averagely lose 5 cents in the long run while you play. The house advantage comes from the 0 and 00. This is a very small advantage, making it hard to detect, but the house will always win at the end of your game.
You must know that the true odds represent the probability of roulette outcome, rather than the possibility. However, the casino is not going to pay out winnings based on true odds. The winning bets are paid using the 1:35 odds, and the even money wagers have a 1:1 payout. This is because of that one zero pocket.
What is the Probability of Winning at a Roulette Wheel?
These bets are quite different, and they are exclusive to French/European roulette only. The numbers in this wheel are combined based on the roulette wheel’s position instead of the table. There are two kinds – fixed and variable.
Zero’s neighbours – These are bets that cover 17 numbers, and all of those are near green zero. You would have to put at least nine chips so that all those numbers are covered, and you will have winning odds of 45.9%. There is no fixed payout, and it can be as high as 24:1, which depends on the number that wins. This is also called “the grand series.”
Wheel thirds – These are the 12 numbers that are directly situated from across neighbours of Zero. This has a probability of 32.4%, with a payout that is set at 17:1. This is quite like dozen/column bets when it comes to the odd terms and payout.
Zero Game – This is a smaller version of neighbours of Zero. It covers only seven numbers that are closest to slot green zero. There is an 18.9% bet winning odds here, and the payout could be up to 26:1.
The Orphans – The bet that covers the remaining numbers that were not yet mentioned. There is a 21.6% chance of winning this bet, and payouts can be 35:1 or 17:1.
These are fixed call bets. Your variables here are the neighbours where you will place bets on five neighbouring numbers, and your winnings are at 13.5%. The remaining variable is called the ‘finals’ where your bet is on the last digit. Based on the numbers, there is an 8.1% and 10.8% probability.
The European table only contains one zero, and this is a big difference to players. European roulette odds have better odds since there is only one pocket that could make the round fail. That also means there is a smaller house edge in a European roulette compared to American roulette that has 0 and 00.
Some roulette games in Europe have more rules that are more helpful to the player in beating the house edge. If a casino is offering a la partage, that means you are only using half of your even money bet in case the ball lands in zero. The probability of winning a roulette wheel cannot really be predicted because the previous sequences do not impact the current one.
What is the Highest Roulette Odds Probability?
You only have one chance of winning and 37 ways of losing the bet. That means your probabilities in roulette odds are 37 to one, and this makes it a thrill. Calculate odds with roulette odds calculator online.
In order to understand this in terms of money, you must realize that the winner’s payoff is not 36:1 roulette odds because it will be a fair game. It is rather 35:1. The casino will short you out by two units because the casino will not make a profit if it pays odds fairly. Thirty-six will be divided into two and times 100 to reveal a house edge of 5.26%. Hence, roulette odds do not reflect actual roulette payouts. If you check a roulette probability chart, you will see the probability for each set of numbers.
Odds for Success:
–Even, odd, black, red, 1-18, and 19-36 all have a probability of 48.6% if the payout is 1:1.
–1-12, 13-24, and 25-36 have a probability of 32.4% if the payout is 2:1.
–Single number with a payout of 35:1 have a probability of 2.7%.
–Two numbers with a 17:1 payout have a 5.4% probability.
–Three-number combo with an 11:1 payout has an 8.1% probability.
–Four-number combo with an 8:1 payout has a 10.8% probability.
–Six-number combo with a 5:1 payout has a probability of 16.2%.
You can use these statistics when you try the roulette wheel probability calculator, but it does not guarantee anything.
How to Use Probability When Playing Roulette?
You can beat roulette by improving the probability of your odds. Roulette is famous for being a tricky game, and that is because of the huge house edge it has. There is no solution to how you can win roulette each time it spins. However, if you want to maximize your winning potential, you would have to use the odds wisely. Even if it is really based on luck, you can do a couple of things to increase your chances of winning a nice payout.
You must know your odds
The odds that are placed in bets vary greatly, so if you want to maximize your bankroll, you need to know your odds.
If you use a probability roulette wheel in a game, you can find out if you can beat the math in your game.
A system could combine the playing and money management strategy. If you have enough bankroll, you can increase your chance of winning by doubling your bet after each loss, and you will not reach the table limit, which you can easily do. However, this is not really a guarantee.
Whatever your strategy is, they could suffer in the same way. Assuming all wheel numbers have the same probability, which means there is no bias. The math would mean the casino always wins. The system might look great, and it works short term, but if it lands on a number you did not bet on, you are going to lose. The casino will move to winning with a house edge of 2.7% or 5.26%.
There are systems that involve betting on a lot of numbers, like 20. If this is the case, you will win more often because you are betting on most of the numbers. However, if none of them turn up, you will lose all bets. This could wipe out your wins.
What is the Probability of Red in Roulette?
If the ball lands on red, you win 1€. Then, the next step is to bet 1€ on black. Always change the colour when you win. If it’s black, you will lose the first 1€. Then bet 2€ on red. If you lose, you stay in red and double your bet until you win. For instance, losing 1€, you must bet 2€ on red; if you lose again, bet 4€; another loss, bet 8€ on red. When you win, change to black and bet 1€.
If zero comes up, which rarely happens, you lose your 1€. Then, bet 2€ on red again, and keep doing this until you win before you can change colour.
There are 37 numbers on the wheel. There are 18 blacks and 18 reds. Therefore, the winning odds of red are 18/37, which is 0.4865. The odds of black are the same. The same goes for any “even chance” bet that includes highs and lows, and evens and odds. The odds are not changing, no matter how many times red or black have appeared in a row. Consider your loss when you bet on black. What you do not realize is that the odds of red or black coming up is not affected by any sequence. This is the case in all losing roulette online game.
The calculation is very simple. There are no changes except for the amount that you made a bet on. You are either lucky, and you could win back what you lost, or lose it all. The casino owner does not care if you win because they know there is always a loser in every win. If you think about it, there are more losses than wins.
What is the Probability of Black in Roulette?
Since each spin is a new event, black can come up with the same probability as red anytime during the play, no matter how many times each colour wins. Particularly with European roulette where there are 18 blacks, 18 reds, one zero.American roulette has two zeros, which is not good for your winning chances. Hence, the probability of black is 18/37 = 0.4765 or 48.65%.
Black and red have the same probability, which seems paradoxical, and it is expected that the colour changes fast. It could be from a probability point that it is senseless to assume the colour that has not won for a long time could most likely appear now.
American vs. European Roulette
Anyone who is trying to figure out the difference between American and European roulette must understand the double and single zeros, watch roulette rules in 6 min video. The American version has double zeros. In the European roulette, the croupier spins the reel with 37 pockets, and the small ball falls into one when the spinning stops. Any number on the wheel has an odds of 35/1, and if you succeed, you earn your bet back. That means the house edge is 2.7% and the RTP rate is 97.3%
The American roulette wheel is the same, but it has an extra pocket – double zero. The same principle is applicable when you bet on a pocket the ball falls into, and each number has an odds of 35/1. Your stake is given back to you if your bet succeeds. However, even if the odds are the same, your chance of succeeding becomes less because of the extra pocket. Hence, the house edge is 5.26%, and the RTP is 94.74%. Therefore, you have a bigger chance of winning if you play European roulette.
The House Edge Difference
Even if there is only a subtle difference, and it may look irrelevant, it has a huge impact on how your games will turn out.
Calculate Probability Roulette
When there are lower odds, there are bigger payouts. However, as logical as it may be, it is not the same with American roulette. Even if the odds are lower, if you bet on a winning number, you will also get paid 35:1, which is the same in European roulette.
The Return to Player (RTP) Percentage
In roulette, it is essential to take note that this is theoretical because it is based on what is returned to a player on hundreds of spins, and all kinds of bets are available.
You could get great results by just spinning a few lucky spins, or you might not win at all. Players who focus on making Even Money bets such as Black or Red receive more winning bets compared to players who just choose their favourites. However, the odds are only suggesting that.
If you want to consistently win in roulette, you must not base your chances on the sequences and patterns. It is sensible to see 1,2,3 spinning patterns, but that is not different from 31,8,15 spinning. The betting progression does not change except for the amount. You can only beat roulette if you can change the winning odds. You must also take note of the differences between American and European roulette because it can greatly affect your winning chances. Therefore, it is important to know how the Roulette probability calculator works.
Roulette Probability Calculator
Roulette wheel has 37 fields (American one – 38). So, the probability of hitting one of them is 1/37 or 2.7%.
Your winning probability may vary depending on your chosen bet type. If you would decide to pick only one number then you would have 2.7% chance of winning. However, if you would go for a Red/Black bet then you would have a 48.6% chance of winning and so on.
If you would go for Even/Odd, Red/Black or Low/High bets then a probability of hitting is – 48.6%, Column and Dozen bets has a 32.4% probability of winning and a bet on a Single Number has a 2.7% chance of winning.
Probability Roulette Calculator Formula
American roulette has 38 fields instead of 37 (additional 00). As a result, your chances of winning become lower.
Roulette is a game of luck after all and in the end casino will win. Always be aware and gamble only with money you can afford to lose.
Red/Black, Even/Odd and Low/High bets has a highest chance of winning – 48.6%.
A bet on a single number has the lowest chance of winning – 2.7%. However, it has the highest payout – 35 to 1.