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.

Press a button below where the ball lands


Example: The probability of the same colour showing up 6 times in a row on an American roulette wheel is 1.13%. A graph to show the probability of seeing the same colour of red/black on an American roulette table (compared to the odds on a European 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. 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. Roulette Probabilities Calculator. Calculate Probability (%) to. Spin MISS HIT HIT=1 HIT1.MISS = miss all spins. A typical American roulette game entails 38 spaces on the wheel. Therefore, the probability of a ball landing on a certain number is always 1/38. The odds of a ball landing on a red or black number is 18/38. The potential for one color to not occur is 20/38.

CalculationsCalculate the roulette probability of RedBlackOddsEvens(1-12)(13-24)(25-36)StraightSplitStreetSquareSix Line Bet along with the expected return on your bet
Outcome Probability = 181212346 Numbers
37 Total Numbers
Success Percentage = Outcome Probability x 100%
Success Percentage = 181212346 x 100 = 48.64%32.43%2.70%5.41%8.11%10.81%16.2%
37
Expected Return on your Bet = Bet * (Success % - (1 - Success %))
Expected ReturnSuccess Percentage = %
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.

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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.

KNOW YOUR ROULETTE ODDS

Roulette odds provide you with the information you need to know how likely you are to win any bet. There are many different bets available on a roulette table, and each one has its own odds. These range from even money bets that pay off nearly half the time, to single number bets that are hard to hit, but which will earn you a lot of money when they do.

Before diving deeper into roulette odds, however, it’s important that you understand the basics of how to play roulette. Before every spin, you will have the opportunity to place as many bets as you like all around the roulette table. Each of these bets covers one or more of the numbered pockets on the roulette wheel, and comes with its own specific odds of winning.

When the croupier spins the ball around the wheel, it will eventually fall into one of these pockets. The number and color of that pocket will determine which bets win on that spin. At this point, the croupier will mark the winning number, losing bets are taken off the table, and roulette payouts are made for the remaining winning bets before the next spin.

AMERICAN VS. EUROPEAN ROULETTE PROBABILITIES

While the American and European games may seem similar at first glance, the two games actually use different roulette wheels. The American wheel has both a zero (0) and a double zero (00) on it, while the European wheel only has the single zero.

This actually makes a major difference to players. European roulette odds are much better for players, because there is one less pocket on the wheel for the ball to fall into. Since both versions offer the same roulette payouts, this means that the odds and house edge are smaller in European roulette.

Some European roulette games offer additional rules that further help the player cut into the house edge. When a casino offers la partage, that means that you will only lose half of an even money bet (meaning bets like odd/even or red/black) if the ball lands on zero.

En prison is a variation of the la partage rule. Rather than getting half of your bet back, the money will instead be put “in prison”. after which you can win it all back If the next spin results in a win for that bet. In either case, these options offer the best odds in roulette, as they cut the house edge roughly in half.

EUROPEAN

AMERICAN

NODOUBLE ZEROYES
37NUMBER OF SECTORS38
2.7%HOUSE EDGE5.26%
97.3%AVERAGE PAYOUT FOR 100 €94.74%

ROULETTE ODDS AND PAYOUTS EXPLAINED

While there are a wide array of roulette bet types to choose from, these options can mainly be divided into two types: inside bets and outside bets. These categories get their names based on where these bets occur on the roulette table layout. Inside bets are placed on the numbers at the center of the table, while outside bets have special betting areas on the outer portion of the board.

Inside Bets

American Roulette Probability Calculator Formula

Inside bets tend to have a lower probability of winning, but they offer the biggest roulette payouts. For this reason, they are often the best way to start playing for those who are new to the game, as they give you a chance to earn a big payout on any given spin without having to risk much money on each bet.

Straight: A bet on a single number. If the ball lands on that number, the bet pays 35-1.

Split: A bet on two adjacent numbers on the roulette table. If either of those numbers hits, the bet pays 17-1.

Street: A bet on a row of three numbers on the roulette layout. If any of those numbers wins, your bet pays out at 11-1 odds.

Corner: A bet on a “square” of four numbers on the roulette betting layout. If any of these numbers wins, the bet pays 8-1.

Six Line: A bet on two consecutive rows, covering six numbers in total. If the ball lands on any of those numbers, you’ll win at 5-1 odds.

First Four: This bet is only available on European roulette tables, and covers the zero along with 1, 2, and 3. If any of those four numbers wins, the bet pays 8-1.

Trio: Like a street bet, this bet covers three numbers, but it includes one of the zeros. For instance, a player can make a trio bet covering 0, 1, and 2. If any of those numbers wins, the bet pays 11-1.

Top Line: This bet is only available on American roulette tables and covers five numbers in total: the zero, double zero, 1, 2, and 3. If the ball lands on any of those numbers, your bet pays out at 6-1 odds.

Outside Bets

Outside bets cover large sections of the wheel, giving you a better chance of winning your bet. However, they also come with smaller payouts, and may require higher minimum wagers than inside bets.

Columns: A column bet covers one of the three columns on the roulette table layout, each of which contains 12 numbers. If any of those 12 numbers wins, your bet pays 2-1 odds.

Dozens: These bets cover sets of 12 consecutive numbers: 1-12, 13-24, or 25-36. If a number in the range you bet on wins, the bet pays 2-1.

Odd/Even: These bets cover all of the odd or even numbers on the table (note that zeros do not count as either odd or even). If a matching number wins, then your bet pays out even money.

Red/Black: These bets cover all pockets – 18 each – of that color. If the ball lands on that color, you win at even money odds.

High/Low: These bets cover the range of 1-18 and 19-36. Should the ball land on a number in the range you’ve chosen, the bet pays even money.

Called & Announced Bets

Called and announced bets are roulette bet types that may not be familiar even to many experienced players. These are more frequently seen in European casinos, and they allow players to make bets by announcing them to the croupier. Called bets can be made on credit, while announced bets require a player to actually have the money on the table in order to make them.Typically, such bets are only offered to known players, usually high rollers. In modern roulette, announced bets are far more common than called bets, as most casinos cannot or will not allow their players to wager on credit.

While any bet can be an announced bet, this option is typically only used for complex wagers, most of which are known as the French bets. These bets cover specific portions of the roulette wheel, which takes several chips to accomplish and can be unwieldy to manage on the standard roulette betting layout. Instead, the croupier can manage those bets for players, sometimes by using the “racetrack” layout seen on some European roulette tables.

Common announced bets include:Voisins du Zero: This bet covers 17 numbers using nine chips. Your payout will be determined by the type of bet covering the winning number: 16 chips on the corner bet, 22 on the trio, or 17 chips if one of the splits wins.

Jeu Zero: The “zero game” covers just seven numbers using four chips. If a split wins, the bet will pay out 17 chips. If the number 26 hits, you win 35 chips.

Tiers du Cylindre: This bet covers 12 numbers that lie far away from the zero. It takes six split bets to cover these numbers, and you get a payout of 17 chips if any of them wins.

Orphelins: Made with five chips, this bet has varying payouts. The straight bet on 1 pays 35-1, while the split bets would pay 17-1.

Finals: A final bet covers every number that ends in a specific digit. These are all straight bets paying out at 35-1 odds.

Full Completes: A full complete is a true maximum bet on a single number. These bets involve heavy risks to the player, with the exact payouts depending on what number is hit, various table maximums, and which number is being maxed out.

You can find out more details on each of these on our called bets and announced bets page.

THE BEST ROULETTE BETS FOR YOUR BANKROLL

Our team of experts has years of experience playing roulette, meaning we know all the pro tips and tricks that can help you get the best roulette odds possible. One of the most important things we can share is how to make the best bets possible each time you step up to the roulette table. Here are our favorite bets in roulette:

La Partage: When it comes to roulette odds, it doesn’t get better than playing at European roulette tables that offer la partage rules on even money bets. When these rules are in effect, you’ll get half your money back if the ball lands on zero, meaning the house edge is reduced to just 1.35%.
En Prison: This variant of la partage is nearly as good for players. Depending on the exact rules being used, en prison – which gives players the chance to rescue their even money bets after a zero – can also drop the house edge to 1.35% for players.
Straight Bets: We recommend straight bets to new players because of their potential for massive payouts, as they pay 35-1 – which is the highest roulette odds on the table. If you want to manage your risk, you can also make multiple straight bets on each spin.
Even Money Bets: If you’re more risk-averse, even money bets like red/black and odd/even will give you the most security possible, as you’ll win nearly half the time. This is perfect if you’re trying to nurse a small bankroll over a long session with friends at the casino. Unless your luck is extremely bad, you’ll be unlikely to lose much money even over hundreds of spins.

THE WORST ODDS TO WATCH OUT FOR

While we’re happy to give you tips on how to find the best odds in roulette, the best thing we can do for our players is steer them away from bets that aren’t worth their time. By avoiding the worst of the worst options, you’ll improve your roulette odds and have more fun playing knowing you aren’t getting ripped off.

The biggest example is the Top Line or First Five bet on American roulette tables. While the odds in roulette are very consistent across almost all bets, this particular bet is an exception. This is because payouts in roulette are generally designed to be fair for a wheel with 36 pockets, with the house edge coming from the fact that there are actually 37 (European roulette) or 38 (American roulette) pockets for the ball to fall into.

On an American table, that means that whether you make a straight bet at 35-1 payout, or bet on black at even money, the house edge is 2/38, or 5.26%. However, the Top Line bet covers exactly five numbers (0-00-1-2-3), a number that 36 can’t be evenly divided into. Casinos offer 6-1 on this bet, which would only be a fair bet if there were 35 pockets. The result of this is a house edge of 7.89%, which is much higher than on any other bet.

The Top Line isn’t always the only sucker bet on the table. Generally, it’s best to avoid unusual side bets that may be added to the game, especially in online roulette. As in other casino games, these side bets are almost always added to make more money off players and come with extraordinarily high house edges.

HOW TO IMPROVE YOUR ODDS AT ROULETTE

One of the best ways to improve your odds in roulette is by brushing up on your roulette strategy. While the results of each spin are random, roulette strategies can be used to manage your sessions and get the kinds of results you’re looking for.

American roulette probability calculator solver

For instance, let’s say you want to maximize your chances of booking at least a small win at the end of a session. Your best bet may be the Martingale System, which asks you to place even money bets, doubling your bet amount after a loss. On the other hand, a player looking for a huge payday would be better off trying something like the Guetting System. We cover many of these systems as well as other ways to improve your odds on our roulette strategy page.

The most important thing you can do to maximize your roulette odds is to get some practice in before you try playing for real money. If you’re looking to develop your skills or test a new betting strategy, you’ll want to check out the 80+ free online roulette titles which are available for you to try without risking any money.

American Roulette Probability Calculator Solver

PLAY AT THE TOP ONLINE ROULETTE SITES

At this point, you should have a strong knowledge of roulette odds and payouts, which bets you want to seek out, and which to avoid. Armed with this information, you should feel confident about playing roulette for real cash at one of our top-rated casinos.

We only recommend the most trustworthy and reputable online casinos for our readers. Any of the sites in the table below will provide you with a safe and secure place to enjoy playing roulette.

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FAQ

🎲 Are roulette odds good?

While roulette odds vary depending on the type of table you are playing at, the odds are generally quite good. That’s especially true when compared to other popular gambling options like slot machines, which normally have much higher house edges.

❤️ What is the best bet in roulette?

If you want the best odds in roulette, you’ll want to find a European roulette table where you can take advantage of la partage rules on even money bets. Under those conditions, the house edge is just 1.35%.

🎰 What are the best roulette bet combinations?

There are many different roulette bet combinations that are effective, with the best one depending on your goals at the table. Familiarizing yourself with bet systems can help you determine what works for you, and what doesn’t.

💰 How much is a roulette chip worth?

American roulette probability calculator formula

The most common value for a roulette chip in an American casino is one dollar. However, this amount can vary depending on how much you buy in for at the table. When you purchase your chips, your croupier will set a value that leaves you with a reasonable amount of chips to play with: buy in for $100, and you’ll get dollar chips; start with $10,000 on the table, and each chip might be worth $100 instead.

Are roulette tables rigged?

American Roulette Probability Calculator Present Value

Generally speaking, roulette tables are fair. Casinos have a mathematical advantage and don’t need to cheat to get roulette odds they are happy with. However, there have been plenty of cases where biased wheels have made some numbers appear more often than others – something that attentive players can take advantage of.

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