In the image above you can see that the French roulette table has a different layout for the bets. Maybe the biggest difference is that the place for the dozen bets is the lower left and right parts of the table (see: P12, M12, D12). P12 is the bet for the first dozen numbers (1-12). If a player bets 40 chips like this and the roulette ball lands on the number 17, all of the bets win and the player achieves the highest possible winnings from a maximum bet (432 chips including his original bet, 392 chips net win). If the ball lands on some of the neighboring numbers on the roulette table layout, the player still wins.

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.

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

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:

Roulette Bets Probability Chart Calculator

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.

Roulette Bets Probability Chart Template

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]).

Roulette Bets Probability Chart Worksheets

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.

This page explains the various roulette odds and bets for both American double zero and European single zero roulette. Below is a quick reference chart:

Where the Chips are Placed:

Colours

Payout 1:1 (If you win, you are paid back your original bet PLUS 1 unit)

Evens / Odds

Payout 1:1 (If you win, you are paid back your original bet PLUS 1 unit)

Lows / Highs (1-18 / 19-36)

Payout 1:1 (If you win, you are paid back your original bet PLUS 1 unit)

Dozens

Payout 2:1 (If you win, you are paid back your original bet PLUS 2 units)

Columns

Payout 2:1 (If you win, you are paid back your original bet PLUS 2 units)

5 Number (American 00 roulette only)

Payout 6:1 (If you win, you are paid back your original bet PLUS 6 units)

4 Numbers (square)

Payout 8:1 (If you win, you are paid back your original bet PLUS 8 units)

3 Numbers (street)

Payout 11:1 (If you win, you are paid back your original bet PLUS 11 units)

2 Numbers (split)

Payout 17:1 (If you win, you are paid back your original bet PLUS 17 units)

1 Number (straight)

Payout 35:1 (If you win, you are paid back your original bet PLUS 35 units)

Suggestions and Betting Advice

The two main types of bets are inside and outside bets. The inside bets can be used to represent specific areas around the roulette wheel, whereas outside bets represent deliberately randomized sections of the wheel.

Typically the maximum bet limit is much higher for outside bets than it is for inside bets. This is for a few reasons. Firstly, outside bets are guaranteed to lose in the long term, so casinos want you to bet big. Inside bets can represent specific sectors of the roulette wheel, and all roulette system or technique that legtimate beat roulette in the long-term are based on bets on wheel sectors.

General Tips

See roulette tips and free roulette system that works for much more detailed professional advice. But below are basic tips specifically regarding bets and the table:

• Play on European Single 0 wheels where possible: The house edge is double on the American 00 wheel. In other words, you have a much better chance of profiting on European single 0 wheels.

• Consider the frequency at which wins will occur, so you don’t make bets that may take you hours to have a win: For example, if you are playing for fun and bet on a single number, you can expect to win on 1 in 35 spins. This is about an hour of play and it will be tedious if you are only playing for fun. You could of course bet on many individual numnbers, but this can be costly if your numbers don’t spin.

• Consider the time of day when you play: during peak periods, the wheel may spin as infrequently as once every 5 minutes. This can detract from the fun of playing.