Roulette is one of the most popular table games in modern casinos. Although variations on the game have been around for several hundred years, there are now only 3 variations in American casinos.

• Roulette Bets Probability Chart Calculator
• Roulette Bets Probability Chart Worksheet

You’re likely already familiar with American roulette and European roulette. The most recent addition to the table game inventory is Sands Roulette.

But the odds for the other bets and wagers are affected as well. The following are the bets, payouts, and the Roulette odds for the single zero and double zero wheels. Roulette Odds for Single Zero Roulette Wheels. For wagers on red, black, odd, even 1 to 19, and 19 to 36 the payouts are 1 is to 1, and the probability is 48.65%. The entire mathematics of roulette, along with the main categories and sub-categories of improved betting systems whose data fill dozens of tables, can be found in the book ROULETTE ODDS AND PROFITS: The Mathematics of Complex Bets. The book presents a rigorous mathematical model for the roulette bets, which can be generalized to several types. Roulette House Edge Explained. Clearly, the payout does not correspond to the true odds of roulette bets. This advantage of the casino over its patrons is called house advantage and can be easily demonstrated with the following example – we bet $1 on the number 17 and win. Roulette Probabilities - One of the casino games with the best odds. Roulette is a classic table game whose origin dates back to the 17th century when this game was played in Italy.

Which of these games should you play?

How should you bet on them?

What’s the smartest strategy for roulette betting?

I’ll explain all that in this post:

What Are the Differences between American, European, and Sands Roulette?

Although these games have a few other differences, the most significant distinction between the 3 versions of roulette are the number of green slots the wheels contain.

Every roulette wheel has at least 37 slots.

36 of those slots are always numbered 1 to 36, and they’re alternately colored RED or BLACK.

The additional slots are green.

In European roulette there is only one green slot, the “0”.

In American roulette there are two green slots: “0” and “00”.

In Sands roulette a third green slot, “S”, has been added to the wheel.

The green slots are there for one reason:

They make the game’s statistical probabilities uneven.

This is because of the way roulette bets are paid off. You can win anywhere from 35-to-1 (for betting on a single number) down to 1-to-1 (for betting on 18 slots at a time).

The payoffs, called “odds”, are not as fair to you as the actual estimated probabilities of the roulette ball landing on any given slot. This is how the casino makes its money.

In a game of roulette the house should keep at least 2.70% of all the bets players make over time. The casino has no need to cheat the players. In fact, the players often make really bad bets that improve the “house edge”, as that casino profit is called.

One of the other differences between European roulette and both American and Sands roulette is that the European roulette table has an additional betting area. This secondary betting area is used to place specially designed bets. They are more complicated than the normal bets made in American and Sands roulette. I’m going to ignore this section of the table, because I’m going to show you how to place bets that have the best chances of paying off.

Is There a Winning System for Roulette?

Everyone who gets into roulette sooner or later starts to think about how they can “beat the system”.

I’m going to be honest here:

There is no way to do that.

The green slots on the wheel make it impossible for anyone, anywhere, to ever design a betting system that is guaranteed to win. If you really want to guarantee yourself a win every time, then put a chip on each of the 2-to-1 outside bets and on each of the green number bets.

That’s the only way you’ll be paid money every time the wheel spins.

You’ll also go broke.

You may have heard about a system called the Martingale System. It’s a popular betting system with new roulette players.

Experienced roulette players just turn their heads and roll their eyes when someone mentions the Martingale System. The only way you can make money with the Martingale System is to write a book about it and get people to buy your book.

Even that’s a gamble, though, because most people now know that the Martingale System promises more than it delivers.

Here’s how this system works:

You start out betting the minimum. If you lose, you double your bet. If you win on your doubled bet, you go back to betting the table minimum. If you lose again, you double the size of your bet again.

This sounds great to inexperienced bettors but the problem is that you’ll either run out of money or hit the table limit before you can recoup your losses as they add up.

The Martingale System is a sucker bet, plain and simple.

Every betting system in every form of gambling tries to leverage probability theory. The Martingale System and other roulette betting strategies also rely on probability estimates.

But there’s a flaw in the thinking behind these systems. If you account for the flaw you’ll be okay. You won’t always win but your expectations will be more reasonable.

The secret to not going broke when you gamble is to set reasonable expectations and maintain your self-discipline. You should never drink or take drugs when you gamble. They lower your inhibitions and impair your judgment.

You might as well just hand your money over to the casino at the cashier window and say “keep it” if you’re going to drink or do drugs when you gamble.

How Do Probabilities Work in Roulette?

Probability theory came out of statistics. It tries to give us rules by which to guess what happens next in any situation. The guesses are seldom accurate predictions. Sometimes the guesses work out, and sometimes they don’t. Gamblers love probability theory because they think it helps them pick the best betting strategies.

You’re actually more likely to double your money during a roulette session if you put all your money on a single bet. The more bets you place, the less likely it becomes to double your money.

That’s because every bet brings you close to the long term expectations. The closer you are to the short term, the more likely you are to get better than expected results.

In roulette, the probabilities are simple. The dealer spins the wheel and releases a ball that whirls around the outside of the wheel and finally settles in a slot. With only 37 slots on a European roulette wheel you have a 1-in-37 probability of the ball landing on a specific slot.

This probability never changes.

This probability is calculated on the basis of all the known possibilities.

What probability theory cannot do, however, is predict where the ball will stop.

Nor can it predict whether the ball will land on red, black, or green any number of times over the next 100 spins.

Nonetheless, a lot of gambling guides tell you that you have the best chances of winning if you do this because of such-and-such probabilities. And many of these guides warn you that there is no way to predict the future, but by setting the expectation that the ball will land on red about 47% of the time, these guides are making predictions and promises they cannot keep.

They’ll even back up their claims by talking about how to run computer simulations for 1 million spins of the wheel so that you see how often the ball lands on red, black, or green.

In the real world the Probability Fairy is always on vacation. She’ll never be there to wave her magic wand to make things happen the way experts say they should. The ball could land on red over the next 20 spins. Or it could land on black or green or some random mix of color combinations.

You have no way of knowing how many of the next [X] spins will turn out a certain way. Talking about probabilities in this way is just dishonest.

What you can do is look at the wheel and ask yourself how much it costs to bet on the largest possible set of numbers. The idea here is to get as much coverage as you can without losing money too fast.

But even if you cover every number on the wheel you’ll lose money.

So the only way to win in roulette–and this is completely random, never guaranteed–is to bet on less than all the numbers on the wheel.

You also want to play bets that pay better than even money. You can place a variety of bets, but most of them aren’t worthwhile.

Betting on single numbers is a bad idea. You can place bets on the lines between the numbers (these are called “street bets”) and on lines at the corners of numbers (these are called “corner bets”).

But even though you get pretty good odds (payoff) you’re still covering too few numbers.

How Bets Work in Roulette

Divide the bets into two groups:

1. Inside bets
2. Outside bets

Inside bets are based on individual numbers or small groups of numbers. When you see players betting on the lines, corners, and individual numbers on the table they are making inside bets.

Outside bets are based on pre-selected groups of numbers on the wheel. The “2-to-1” bets cover 12 numbers each: 1 to 12, 13 to 24, and 25 to 36. The “1-to-1” or “even money” bets cover 18 numbers each:

• Odd
• Even
• Black
• Red
• 1 to 18
• 19 to 36

The bets more likely to pay are the even money bets.

But unless you can win 5 times out of 9 on even money bets you’ll lose your stake. That’s the problem with roulette. You always have to win at least 1 more time than you lose no matter how you place your bets.

The “2 to 1” bets pay better than the “1 to 1” bets because they cover fewer numbers. You have less of a chance of winning.

There are 6 types of “2 to 1” bets:

• 3 kinds of dozens bets: (1 to 12, 13 to 24, and 25 to 36)
• 3 kinds of columns bets: ([1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34], [2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35], [3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36]).

You can make a bet by betting on any two of the “2 to 1” groups. That means that instead of covering only 18 numbers you’ll be covering 24 numbers.

This type of bet is often called the “double dozen” bet. It’s popular among gamblers who like to hedge their bets. They have a better chance (all other things considered) of scoring a win with a “double dozen” than with one of the standard even money bets. If you’re playing it safe and going for even money odds, you should always play a double dozen bet.

If you want to bet more aggressively, then instead of betting more money on your double dozen, you can cover all 36 of the red and black numbers. Leave the green numbers alone. Yes, they’ll come in every now and then, and you’ll lose money.

But there’s a way to keep your losses low.

How to Bet on Columns or Dozens Aggressively

Take 6 chips and distribute them across EITHER the three dozen bets or the three column bets.

Place 3 chips on 1, 2 chips on the 2nd, and 1 chip on the 3rd. If the ball lands on a green number you’ll lose your entire bet, so always play the table minimum with this aggressive style.

If the ball lands on any number with your single chip bet, you’ll win 2 chips and lose 5–for a net loss of 3 chips (half your bet).

That’s the safest way to bet aggressively on the table.

If the ball lands on any number in your 2 chip bet you’ll win 4 chips and lose 4 for no loss. This keeps you in the game.

If the ball lands on any number in your 3chip bet, you’ll win 6 chips and lose 3 for a net gain of 3 chips. This will offset 1 single chip win.

The way this betting strategy works out, your money can grow substantially and still take some big hits. Where the strategy will fail you is when the ball lands on green or if the ball lands on the single chip bet more often than it lands on the 3 chip bet.

Sorry, but there’s no way to prevent that from happening.

There Is No Guaranteed Way to Win in Roulette

I can’t say this often enough:

You can’t win at roulette in the long run.

I think roulette is a fun game to play. It’s exciting because you don’t know where the ball will land. You take an active role in making your wagers.

And you’ll find there are a lot of different betting systems to experiment with. The only thing that is guaranteed in roulette is that the casino will make a profit. What you hope for is that they make their profit at someone else’s expense.

Players who try to improve their luck by making big bets do sometimes win, but most often the people who come out ahead are the patient players who use conservative betting strategies and take money off the table. If you only walk away with your beginning stake you’ll be luckier than most gamblers.

And you can take that to the bank.

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.

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

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:

Roulette Bets Probability Chart Calculator

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.

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.

Roulette Bets Probability Chart Worksheet

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.

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.

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?

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?

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.