Roulette Black Red Payout



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Roulette Payouts & Odds

An American Roulette wheel has 38 slots: 18 are red, 18 are black, and 2 are green, which the house always wins. When a person bets on either red or black, the odds of winning are 18/38, or 47.37% of the time. Our next is example is a simulation of spinning the Roulette wheel. Of course, the best bets in roulette are the outside bets, which cover large portions of the wheel and require a single chip to be wagered. These include black/red, even/odd, and low/high, where the advantage of the casino is 2.70% while the player’s odds of winning are the highest.

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American Roulette Payouts & Odds
European Roulette Payouts & Odds
French Roulette Payouts & Odds
Roulette Bet Types Explained
Roulette House Edge Explained
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Roulette is one of the easiest casino games to play and is also one of the oldest games available in casinos around the world. So how do roulette payouts and odds work?

Roulette has a consistent house edge and straightforward odds. You’ll learn everything you need to know about the edge and odds on this page as well as an explanation of each possible bet you can make at the table.

As you learn more about the house edge you’ll see that even at the tables with the best odds for the player the edge is higher than you’ll find at games like blackjack, baccarat, and some video poker machines.

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Can You Win Playing Roulette?

It’s easy to fall into the trap of only thinking about the percentage of the house edge of casino games, but many times you end up losing less per hour, and in turn being able to play longer, by playing a higher edge house game.

One of the main advantages of playing roulette is you play fewer spins per hour than you play hands per hour at the blackjack table, baccarat table, or at the video poker machine. When you combine this with the simple game-play where all of the bets have the same edge, roulette is a good choice for many casino players.

Odds and Edge on Three Different Roulette Wheels

Take a look at the odds, payouts, and house edge that are offered when playing on the American, European, or French roulette wheels.

American Roulette Payouts

Be sure to look at the section on how the house edge works to get familiar with why American roulette has a higher edge than European or French. Let’s take a look at the odds you face on each inside bet as well as the corresponding payouts. This is based on the US wheel.

Odds Chart American Roulette Payouts, Odds, Bets, and House Edge

Roulette black red payoutsRoulette Black Red Payout
American Roulette – Inside Bets
BetOdds AgainstPayoutHouse Edge
Straight Up37 to 135 to 15.26%
Split18 to 117 to 15.26%
Street11.7 to 111 to 15.26%
Trio11.7 to 111 to 15.26%
Corner8.5 to 18 to 15.26%
Five Number6.6 to 16 to 17.9%
Six Line5.33 to 15 to 15.26%

The house edge on outside bets work on the sample principle but, as you’ll see in the following table, both the odds against winning and the payouts are much lower.

American Roulette – Outside Bets
BetOdds AgainstPayoutHouse Edge
Red or Black1.11 to 11 to 15.26%
Even or Odd1.11 to 11 to 15.26%
High or Low1.11 to 11 to 15.26%
Dozens2.17 to 12 to 15.26%
Columns2.17 to 12 to 15.26%
Roulette odds red black payout
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European Roulette Payouts

European roulette wheels don’t have a double zero space so the odds are better for the player. It is the most popular type of roulette played at most of the online casinos, as the house edge and odds of winning make it the best choice for avid players. Let’s take a look at the odds you face on each inside bet as well as the corresponding payouts.

Odds Chart European Roulette Payouts, Odds, Bets, and House Edge

European Roulette – Inside Bets
BetOdds AgainstPayoutHouse Edge
Straight Up36 to 135 to 12.7%
Split17.5 to 117 to 12.7%
Street11.33 to 111 to 12.7%
Trio11.33 to 111 to 12.7%
Corner8.25 to 18 to 12.7%
Six Line5.17 to 15 to 12.7%
European Roulette – Outside Bets
BetOdds AgainstPayoutHouse Edge
Red or Black1.06 to 11 to 12.7%
Even or Odd1.06 to 11 to 12.7%
High or Low1.06 to 11 to 12.7%
Dozens2.08 to 12 to 12.7%
Columns2.08 to 12 to 12.7%
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French Roulette Payouts

The only difference between European roulette and French roulette is that in French roulette if you bet on high, low, red, black, odd, or even and the ball lands on zero, you only lose half your bet. So, the house edge on these bets is half of what it is on a European wheel. Let’s take a look at the odds you face on each inside bet as well as the corresponding payouts.

Odds Chart French Roulette Payouts, Odds, Bets, and House Edge

French Roulette – Inside Bets
BetOdds AgainstPayoutHouse Edge
Straight Up36 to 135 to 12.7%
Split17.5 to 117 to 12.7%
Street11.33 to 111 to 12.7%
Trio11.33 to 111 to 12.7%
Corner8.25 to 18 to 12.7%
Six Line5.17 to 15 to 12.7%
French Roulette – Outside Bets
BetOdds AgainstPayoutHouse Edge
Red or Black1.06 to 11 to 11.35%
Even or Odd1.06 to 11 to 11.35%
High or Low1.06 to 11 to 11.35%
Dozens2.08 to 12 to 12.7%
Columns2.08 to 12 to 12.7%

Experienced gamblers avoid the US wheel, in favor of the European version –or even better, the French Roulette game, which has the best odds of all roulette payouts.

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Bet Types Explained

There are two types of bets that a player can place –inside and outside bets. These are relative to where you would actually place your chips on the table. Learning the type of bet and where to place the bet will help you know what your possible roulette payout will be.

Inside Bets

Single or Straight

This is a bet on a single number and is made by placing a chip or chips covering the number completely inside the box surrounding the number.

Split

A bet on two numbers, a split is made by placing a chip or chips on the line between two numbers.

Street

A street bet is on three numbers across the display, such as 31, 32, and 33. This bet is made by placing a chip or chips on the outside edge line on either end of the street. In this example, you place a bet on the leftmost line of the 31 or the rightmost line of the 33.

Corner or Square

A corner or square bet is a bet on four numbers made by placing a chip or chips on the corner shared by all four numbers.

Six Line or Double Street

This is a bet on two streets made by placing a chip or chips on the outside line where the two streets meet.

Trio

A trio bet is a bet on three numbers that include at least a zero or double zero. The bet is made by placing a chip or chips on the intersecting line of the three numbers.

Basket or First Four

A bet on numbers zero, one, two, and three on a single zero wheel, made by placing a chip or chips on the outside corner of the zero and one or zero and three.

Top Line or Five Number

A bet on the double zero, zero, one, two, and three on a double zero wheel, made by placing a chip or chips on the outside corner of the zero and one or double zero and three.

Outside Bets

High or Low

This bet is on either 19 to 36 for high or 1 to 18 for low. Each table has a designated area for this bet.

Red or Black

This bet is either on red or black and each table has a designated area for each of these wagers.

Even or Odd

This bet is that the number will be even or odd. The table has a designated area for these bets.

Dozen

The dozens bets are for the first 12 numbers, 1 to 12, the second twelve, 13 to 24, or the third dozen, 25 to 36. Dozens bets are placed in the designated area, usually to the left of the numbers printed on the felt.

Column

A column bet is for one of the 12 numbers in the first, second, or third column will land on the wheel. These bets are placed along the bottom of the numbers on the felt under the column you wish to bet on.

How the Roulette House Edge Works

Bets in roulette range from simple ‘coin flip’ chances such as red or black, to inside bets which have payouts of a huge 35-to-1. Having an understanding of how these odds are calculated and how they affect your overall bankroll and betting strategy can help your Roulette game immensely. This includes understanding which wheel has the best return on the bets you make.

What is the House Edge in Roulette?

House edge is the long-term profit casinos make from every bet. This will vary between games (Keno is particularly loathsome at 27% while basic bets in Baccarat are under 1.25%). Roulette’s house edge clocks in at 5.26% for the US wheel and 2.7% for the single zero European version.

How is the House Edge Calculated?

A straight-up bet requires 1 of 38 numbers (the 1-36 numbers along with 0 and 00) to come in, meaning you are facing odds of 37-1 against your number winning (36-1 against with the European wheel).

You might also like: Our Roulette House Edge page to learn more about what it is and how to calculate it.

35 to 1 Payout in Roulette

When you are lucky enough to win a straight-up bet, the payout is only 35-1. Putting this into dollar terms, a winning $1 bet on the number 19 will result in a $35 profit when the true odds dictate that you should receive $37 instead. Taking this into consideration, you can calculate the house edge of Roulette by simply taking that $2 difference and divide it by 38 (the total amount of numbers on the table).

It’s All About the Zeroes – Payouts for O and OO Roulette

For ‘outside’ bets the edge is controlled by the zeroes. When you bet on red/black or odd/even (for example) and the ball lands on the green zero – all bets lose.

This means that the US wheel makes these bets twice as likely to lose as the European wheel. There is a 3rd variation of the game, known as ‘French Roulette’, which returns half of your stake from even money bets when the ball hits the single zero slot. This lowers the house edge considerably. Though exactly how much, will depend on the proportion of inside and outside bets you make.

Roulette Payouts & Odds – Conclusion

If possible, try to find a French roulette wheel when you play, but at the very least stick with a European wheel.

The American wheels cut your playing time in half by charging you twice the house edge of the European wheels.

Bookmark this Roulette Payouts & Odds page for future reference.

You can find European wheels in almost every online casino, including all of the ones we recommend on this site and in most land-based casinos. If you don’t see a single zero wheel ask someone. If they don’t offer one consider playing somewhere else.

Other Helpful Resources

  • Wikipedia roulette page.
  • Wizard of Odds roulette page.

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By Ion Saliu, Founder of Roulette Mathematics

This question was posted in mathematical newsgroups (alt.math.recreational, alt.math.undergrad, alt.sci.math.probability): 'Winning and Quitting on Red/Black in Roulette'.

    'Obviously in roulette betting on in the long run you are going to lose your money but at some point chances are you'll be in profit. To take an extreme example if you had $1000 you could reasonably expect to be up $1 at some point. Is it possible to generalize this? I want to win W dollars at which point I will quit. How much cash C would I need to have probability P of succeeding? Let's say I'm betting on a 37 number roulette wheel (18 red 18 black and one green 0)?'

On the surface, the best probability for the roulette player to be ahead is in one trial (spin): 48.6% to win (versus 51.4% to lose), as far as even-money betting is concerned. I don't agree that it is the best strategy (betting all your bankroll on one spin).

Theoretically, no bankroll will put a player ahead guaranteed, IF flat-betting and playing very long consecutive sessions. There are moments, however, when the roulette player can be ahead by at least one betting unit. Even in even-money bets, the player has a good chance to be ahead by at least one unit after 5, or 10, or even 100 spins. But more than 20 spins are NOT recommended; the probability (odds) to lose go(es) above 50%! Think about it!

The main thing, mathematically, is the number of player's wins in N trials. To be ahead, means the player has won at least one more roulette spin (number of successes) than the number of losses in N trials. The question then becomes:

'What are the probabilities for the player to be ahead in various numbers of trials?'

Everybody can use my probability software SuperFormula, option L: At Least M successes in N trials.
Winning probability: p = 18/37; M must be at least (N/2) + 1.
Here is a number of cases from the player's perspective.

The figures are applicable to all even-money roulette bets: black or red; even or odd; low or high (1-18 or 19-36).

1 trial (spin)
- probability (odds) to win: 48.6%; odds = 1 in 2.05
- probability (odds) to lose: 51.4%; odds = 1 in 1.95
(the probability to lose is 19/37; adding zero to unfavorable cases).

2 trials (spins)
- probability (odds) to win 2 of 2: 23.7% (1 of 2 doesn't mean 'being ahead')
- probability (odds) to lose 1 of 2: 76.3%

3 spins
- probability (odds) to win at least 2 of 3: 48%
- probability (odds) to lose at least 2 of 3: 52%

10 spins
- probability (odds) to win at least 6 of 10: 34.4%; odds = 1 in 2.91
- probability (odds) to lose at least 6 of 10: 41.1%; odds = 1 in 2.43

20 spins
- probability (odds) to win at least 11 of 20: 36.5%
- probability (odds) to lose at least 11 of 20: 46.2%

100 spins
- probability (odds) to win at least 51 of 100: 35.5%; odds = 1 in 2.82
- probability (odds) to lose at least 51 of 100: 56.8%; odds = 1 in 1.76.
It's getting worse for the player...

The roulette strategy (or system) is a totally different ball game! But there are professional gamblers out there, including roulette players! They must have strategies, some roulette systems deduced from some figures like the ones above! The player can be ahead at any point in the game. If so, maybe it's time to move to another (or casino) table: It improves the odds of winning!

Always keep track of the losing and winning streaks. Be strong and put an end to a winning streak. You are ahead, you quit the roulette table. Go to another table and wait until you are ahead. The bankroll is of the essence: It must assure going through long losing streaks. Divide the streaks in 10 spins or 20 spins. Never fight aggressively short or mid-term losing streaks. This is the best approach for those who do not know Ion Saliu's casino gambling systems. A good approach to gambling is the next best thing to a good gambling system! Applicable to blackjack and baccarat, too!

Axiomatic one, everybody knows that the casinos have an edge or house advantage (HA) in all the games they offer, roulette including. The house advantage is created by the payouts in rapport to total possibilities for the respective bet. We can apply this simple formula based on units paid UP over total possibilities TP:

HA = 1 – (UP / TP)
(always expressed as a percentage.)

For example, in single-zero roulette, the one-number (straight-up) bet has payout of 35 to 1. The to qualifier is very important: the casino pays you 35 units and they give you back the unit you bet; thus, you get 36 units. There are 37 possibilities in single-zero roulette: 36 numbers from 1 to 36 plus the 0 number. Therefore, HA = 1 – (UP / TP) = 1 – (36 / 37) = 1 – 0.973 = 0.027 = 2.7%.

Let's calculate HA for the 1 to 1 bets: black/red, even/odd, low/high. HA = 1 – (UP / TP) = 1 – (2 / 2.055) = 1 – 0.973 = 0.027 = 2.7%. There are little differences among bets depending on how many decimal points we work with in our calculations.

The point is, the casinos have an advantage, or the players have a disadvantage. Nonetheless, the players' disadvantage is far better than what they face in state-run lotteries. Yet, most casino gamblers lose big, including at roulette tables. They do not have sufficient bankrolls to withstand long losing streaks.

However, around 45% of the roulette numbers lead the gamblers to profits in a few thousand spins. That is, with a sufficient bankroll, a player has a pretty good chance to make a profit, even if playing a random roulette number, or a favorite number. I analyzed about 8000 roulette spins from Hamburg Spielbank (casino). Quite a few numbers ended up making a profit: roulette systems, magic numbers.

By contrast, the more lottery drawings a player plays, the higher the degree of certainty of a loss. Let's make a comparative analysis to the roulette long series above (spins: total roulette numbers, 37, multiplied by 200). If playing the pick-3 lottery for some 100,000 drawings, it is guaranteed that all pick-3 straight sets will be losers. Some numbers will hit up to 3% to 5% above the norm — but that is not nearly enough to assure a profit. A frequency of 3% to 5% above the norm leads to profits in roulette, however.

Ion Saliu's Paradox and Roulette

Ion Saliu's Paradox of N Trials is presented in detail at saliu.com, especially the probability theoryRoulette page and the mathematics of gambling formula. If p = 1 / N, we can discover an interesting relation between the degree of certainty DC and the number of trials N. The degree of certainty has a limit, when N tends to infinity. That limit is 1 — 1/e, or approximately 0.632....

If you play 1 roulette number for the next 38 spins, common belief was that you expected to win once. Not! Non! Only if you play 38 numbers in 1 spin, your chance to hit the winning number is 100%. Here is an interesting table, which includes also The Free Roulette System #1 presented at the main roulette site.

The maximum gain comes when playing 38 numbers in one spin: 36.3%. Obviously, it makes no sense to play that way because of the house advantage. On the other hand, a so-called wise gambler is more than happy to play one number at a time. What he does is simply losing slowly! Not only that, but losing slowly is accompanied by losing more. That cautious type of gambling is like a placebo. A roulette system such as Free System #1 scares most gamblers. 'Play 34 or 33 numbers in one shot? I'll have a heart attack!' In reality, the Free Roulette System #1 offers a 28.8% advantage over playing singular numbers in long sessions. That's mathematics, and there is no heart to worry about, axiomatic one.

Roulette Odds Red Black Payout

You can also use SuperFormula to calculate all kinds of probabilities and advantage percentages. The option L — At least M successes in N trials is a very useful gambling instrument. If you play 19 numbers in one spin, the probability to win is 50%. If you play 19 numbers in 2 consecutive spins, the probability to win at least once is 75%.

Editor's note
• In an apparent change of heart, the Hamburg casino (Spielbank) offers online roulette results for free. The new link is (for the time being!):

www.spielbank-hamburg.de/spielsaal/permanenzen.php4

• • Real-life roulette spins are also available from the Wiesbaden, Germany, Casino (Spielbank)

www.spielbank-wiesbaden.de/DE/621/Permanenzen2.php: Wiesbaden Spielbank Permanenzen

Roulette Black And Red Payout

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