European Roulette Probability Calculator
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. American Roulette Vs. European Roulette. American roulette odds and European roulette odds are different because they use two separate wheels. The European roulette wheel has 37 numbers, while the American roulette wheel has 38. This is because the American wheel has 00, giving the house a more significant edge in the United States. The calculation of roulette wheel probabilities is very simple. Let us take the classic example of a dice with the numbers one to six. How large is the probability that the next throw is the number five? Of course, it is 1/6or 16.67%: only one side of the dice has the number five, one of six numbers in total. Not every player is able to calculate the odds of hitting the target. It is not so easy to calculate which the sequence of cards will be on the table. Still, many players believe the theory of probability works and can influence the course of a roulette session. In this article, we are going to consider the main roulette probability problems. American Roulette Vs. European Roulette. American roulette odds and European roulette odds are different because they use two separate wheels. The European roulette wheel has 37 numbers, while the American roulette wheel has 38. This is because the American wheel has 00, giving the house a more significant edge in the United States.
- Roulette Probability
- European Roulette Probability Calculator Present Value
- European Roulette Probability Calculator Solver
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.
Here at Bet and Skill we love a spin of the roulette wheel and know all there is to know about the popular casino game. Wanna know how to calculate probability in roulette? Below you’ll find our top tips on how to calculate your chances and win at the roulette table.Roulette is very simple game to understand. You place a bet on where you think the ball will land and if it does, you win!
Of course, the chances of the ball landing on where you’ve placed your chips can vary dramatically from a one in 37 chance to a 50% chance. But how do you calculate this probability.
The Roulette Table
Let’s start with the table itself. On a roulette wheel there are either 37 or 38 numbers depending on whether you’re playing American or European Roulette. The numbers range from zero to 36, with a 00 on the American wheel.
The American Wheel has an extra edge to the casino so it’s always worth playing European.
Across the table you’ll find every number as well as a number of Outside bets. These are the spots where you can bet on Odds and Evens, Red or Black and various lines and sections of the table.
You’ll find 18 red numbers and 18 black giving an even chance of the ball landing on red or black. Equally, you’ll find the same number of odd numbers and even.
The zero, and double zero, stand alone and basically unless you bet on it gives the house the edge.
You can place bets on any number as well as many other variants including four numbers (corner bet), such as has been done in the image above with 22, 23, 25 and 26.
Roulette Table Probabilities
The probabilities vary when it comes to betting on the roulette table.
Betting on Outside Bets will give you a higher chance of winning although does also have a lower payout.
With Outside Bets you’ll usually have around a one in two or one in three chance of winning. These are the following:
Odds/Evens: 48.65% chance of winning. Pays out even money.
Red/Black: 48.65% chance of winning. Pays out even money.
1-18/19-36: 48.65% chance of winning. Pays out even money.
Because the chance of winning is 18/37, this gives you almost a 50% chance of winning your bet by placing these outside bets.
Other Outside Bets and their payouts include:Column: 32.4% chance of winning. Pays out 2/1.
Dozen: 32.4% chance of winning. Pays out 2/1.Inside bets have much longer odds as the percentages can be as large as a one in 37 shot.
Below you’ll find some of the more common inside bets and their odds and payout:
One Number: 2.7% chance of winning. Pays out 35/1.
Split: 5.4% chance of winning. Pays out 17/1.
Street: 8.1% chance of winning. Pays out 11/1.
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Corner: 10.8% chance of winning. Pays out 8/1.
Six Line: 16.2% chance of winning. Pays out 5/1.
Calculating Probabilities
Calculating probabilities in roulette is relatively easy and simply involves using the fraction and dividing and multiplying accordingly. It’s basic school mathematics.
So for example, let’s say you wanted to place a bet on red you would use the following formula:
(18/37) x 100
This would give you the percentage chance of you winning. There are 18 reds out of 37 numbers on the table which gives a decimal of 0.4865. Multiply that by 100 to gain the percentage and it’s 48.65%.
Roulette Probability
You can do this with any probability on a roulette wheel. However, when it comes to working out sequences it’s a little more complex.Let’s say you wanted to work out the chance of the ball landing on red twice in a row. To work out that you would need to use the following formula:
(18/37 x 18/37) x 100
This would work out at around a 24% chance of happening and ultimately just involved multiplying the fractional odds with each other, and then multiplying by 100 to get the percentage.
European Roulette Probability Calculator Present Value
You can do this as many times as you want and can forecast a sequence as long as you need to work out the chances of that particular sequence winning.European Roulette Probability Calculator Solver
Where Can I Put Probabilities Into Practice?
Naturally, once you’ve worked out the probabilities of the roulette table you’re going to want to put into action.There are dozens of fantastic online casinos to play roulette with, many offering free spins to get started.
Head over to our online casinos page to find all the very best casinos to play roulette with and get in depth reviews on their gameplay and casino promotions.