1. Roulette Number Odds
  2. Roulette Number Odds

That’s why the casino enjoys a house edge of 5.26% on roulette. Your odds of winning are always less than the payout amounts. For example, the odds of winning a straight-up bet are 37 to 1. There are 37 numbers on the wheel that lose, and 1 bet on the wheel that will win.

  1. Thirty-six will be divided into two and times 100 to reveal a house edge of 5.26%. Hence, roulette odds do not reflect actual roulette payouts. If you check a roulette probability chart, you will see the probability for each set of numbers. Odds for Success: – Even, odd, black, red, 1-18, and 19-36 all have a probability of 48.6% if the.
  2. Apr 03, 2020 For example, the odds of winning on a European roulette wheel are 1 in 37 if you bet on a single number. But with a roulette computer device, you could win as often as 1 in 10 spins. So you will have more than tripled your odds of winning, making the typical roulette odds somewhat irrelevant.
  3. However, there is an easier way to figure out the odds for winning with roulette bets and it is to simply divide the number of ways to win by the number of ways to lose. Therefore, the odds for winning with a Straight Up bet on 32 Red, for example, would be expressed as Odds for Winning = 1/36 or 1 to 36, because there is only one winning.
  4. Roulette is a casino game named after the French word meaning little wheel.In the game, players may choose to place bets on either a single number, various groupings of numbers, the colors red or black, whether the number is odd or even, or if the numbers are high (19–36) or low (1–18).
  • Roulette Analysis
  • Miscellaneous

Introduction

Some single-zero roulette wheels allow a convenient way to bet on a large sector of wheel. Each sector bet is a combination of conventional bets that cover a particular sequence of numbers on the wheel. While these bets could be made by hand, a table that allows sector betting will conveniently divide up a single wager into the requisite smaller wagers to cover a sector. Following is some roulette terminology to help explain how the sector bets are comprised:
  • Straight up — A bet on a single number. Wins pay 35 to 1.
  • Split — A bet on two adjacent numbers on the betting layout. Wins pay 17 to 1.
  • Street — A bet on a row of three numbers on the betting layout. Wins pay 11 to 1.
  • Trio — A bet on three adjacent numbers on the betting layout, one of them being zero. Wins pay 11 to 1.
  • Corner — A bet on four adjacent numbers on the betting layout. Wins pay 8 to 1.

Jeu Zero

Jeu Zero translates to “game zero” in English. It is a way of covering the seven numbers from 12 to 15 on the wheel. Bets should be evenly divisible by four. It is achieved by dividing the total wager into the following bets:

  • Splits: One unit each on 0-3, 12-15, 32-35
  • Straight up: One unit on 26

The following table shows the overall return table for a bet of four units. The return column is the product of the probability, win, and ¼. The reason for dividing by four is to show the return compared to the total four-unit bet. The lower right cell shows a house edge of 2.70%.

Jeu Zero

NumbersNet WinCombinationsProbabilityReturn
263210.0270270.216216
0,3,12,15,32,351460.1621620.567568
All other-4300.810811-0.810811
Total371.000000-0.027027

Voisins du zéro

Voisins du zéro translates to “neighbors zero” in English. Note that the Voisins du zéro sector overlaps the Jeu Zero sector. It is a way of covering the 17 numbers from 22 to 25 on the wheel. Bets should be evenly divisible by nine. It is achieved by dividing the total wager into the following bets:

  • Splits: One unit each on 4-7, 12-15, 18-21, 19-22, 32-35
  • Trio: Two units on 0-2-3
  • Corner: Two units on 22-26-28-29

The following table shows the overall return table for a bet of nine units. The return column is the product of the probability, win, and 1/9. The reason for dividing by nine is to show the return compared to the total four-unit bet. The lower right cell shows a house edge of 2.70%.

Voisins du zéro

NumbersNet WinCombinationsProbabilityReturn
0,2,31530.0810810.135135
22,18,29,7,28,12,35,26,32,15,19,4,21,259140.3783780.378378
All other-9200.540541-0.540541
Total371.000000-0.027027

Le Tiers du Cylindre

Le tiers du cylinder translates to “third of the wheel” in English. It is a way of covering the 12 numbers from 27 to 33 on the wheel. Bets should be evenly divisible by six. It is achieved by dividing the total wager into the following bets six split bets: 5-8, 10-11, 13-16, 23-24, 27-30, 33-36.

The following table shows the overall return table for a bet of six units. The return column is the product of the probability, win, and 1/6. The reason for dividing by six is to show the return compared to the total four-unit bet. The lower right cell shows a house edge of 2.70%.

Le Tiers du Cylindre

NumbersNet WinCombinationsProbabilityReturn
27,13,36,11,30,8,23,10,5,24,16,3312120.3243240.648649
All other-6250.675676-0.675676
Total371.000000-0.027027

Orphelins

Orphelins translates to “orphans” in English. It is a way of covering two sections on the wheel that are not covered by any of the other sector bets, namely 17 to 6 and 1 to 9. Bets should be evenly divisible by five. It is achieved by dividing the total wager into the following bets:

  • Splits: One unit each on 6-9, 14-17, 17-20, 31-34
  • Straight up: One unit on 1

Note that the number 17 is covered by two different spit bets. The following table shows the overall return table for a bet of five units. The return column is the product of the probability, win, and 1/5. The reason for dividing by five is to show the return compared to the total four-unit bet. The lower right cell shows a house edge of 2.70%.

Orphelins

Roulette Number Odds
NumbersNet WinCombinationsProbabilityReturn
13110.0270270.167568
173110.0270270.167568
6,9,14,20,31,341360.1621620.421622
All other-5290.783784-0.783784
Total371.000000-0.027027

Neighbors

Surrounding the five sector bets mentioned above will be what looks like a racetrack consisting of all numbers from 0 to 37 in the same order as on the wheel.

The purpose of the racetrack is to conveniently bet any consecutive five numbers on the wheel. These are known as Neighbors bets. For example, if you wish to cover the five consecutive numbers with 23 in the middle (30, 8, 23, 10, 5) you would make a Neighbors bet on 23. Such a bet should be evenly divisible by five, which will be divided into five straight up bets on each of the five numbers in the sector.

At some Internet casinos and electronic roulette games, Neighbors bets may be made to cover consecutive sectors of 3, 5, or 7 numbers. Bets should be evenly divisible by the size of the sector.

The following table shows the return for Neighbors bets on a three-number sector. The return column is the product of the win, probability and 1/3. The reason for dividing by 3 is to show the return relative to a three-unit bet. The lower right cell shows a house edge of 2.70%.

Three-Number Neighbors

NumbersNet WinCombinationsProbabilityReturn
Win3330.0810810.891892
Loss-3340.918919-0.918919
Total371.000000-0.027027

The following table shows the return for Neighbors bets on a five-number sector. The return column is the product of the win, probability and 1/5. The reason for dividing by 5 is to show the return relative to a five-unit bet. The lower right cell shows a house edge of 2.70%.

Five-Number Neighbors

NumbersNet WinCombinationsProbabilityReturn
Win3150.1351350.837838
Loss-5320.864865-0.864865
Total371.000000-0.027027

The following table shows the return for Neighbors bets on a seven-number sector. The return column is the product of the win, probability and 1/7. The reason for dividing by 7 is to show the return relative to a seven-unit bet. The lower right cell shows a house edge of 2.70%.

Seven-Number Neighbors

NumbersNet WinCombinationsProbabilityReturn
Win2970.1891890.783784
Loss-7300.810811-0.810811
Total371.000000-0.027027

Roulette Number Odds

Written by: Michael Shackleford
  • Roulette Analysis
  • Miscellaneous

Introduction

One question I get sometimes is whether there is some pattern to the number sequence in roulette. There is no simple rule of thumb that would help one memorize the order. Both major types of wheels, single- and double-zero, try to have a good balance of high & low and odd & even numbers in any given sector of the wheel. However, beyond that, there is no consistent pattern that I can find. Nobody seems to know who developed the number order of why, so this is one of the unsolved mysteries of gambling.

Single-Zero Wheel

The number order on the single-zero wheel is 0-32-15-19-4-21-2-25-17-34-6-27-13-36-11-30-8-23-10-5-24-16-33-1-20-14-31-9-22-18-29-7-28-12-35-3-26.

Other than having a good balance of high/low and odd/even numbers in any given sector, I can find no easy memorize device to explain the entire order.

Double-Zero Wheel

Roulette Number Odds

The number order on the single-zero wheel is 0-28-9-26-30-11-7-20-32-17-5-22-34-15-3-24-36-13-1-00-27-10-25-29-12-8-19-31-18-6-21-33-16-4-23-35-14-2. Unlike the single-zero wheel, several rules will help you put together the entire sequence. Here it is.

  1. Start by putting the 00 in the 12:00 position and the 0 in the 6:00 position on the wheel.
  2. Place the 1 to the left of the 00. Then, every four spaces, going counter-clockwise, put the next odd number, until you get to 9.
  3. Place the 13 to the left of the 1. Then every four spaces, going counter-clockwise, put the next odd number, until you get to 17.
  4. Place the 11 next to the 7, going counter-clockwise. This will take care of the odd low numbers. Note they are all on the left side of the wheel.
  5. Place the 19 seven spaces from the 00, going clockwise. Then, going clockwise, put the next two odds every four spaces, until you get to 23.
  6. Place the 25 three positions from the 00, going clockwise.
  7. Place the 27 one position from the 00, going clockwise. Then, going clockwise, put the next four odds every four spaces, until you get to 35.
  8. Directly across the wheel from every odd number, place the number one greater. For example, place the 2 directly across from the 1.

Triple-Zero Wheel

The number sequence for the triple zero wheel (boo!) is the same as the single-zero wheel, except the 000 and 00 directly follow the 0, going clockwise.

In other words, the sequence is 0-000-00-32-15-19-4-21-2-25-17-34-6-27-13-36-11-30-8-23-10-5-24-16-33-1-20-14-31-9-22-18-29-7-28-12-35-3-26.

External Links

This topic is asked and discussed in my forum at Wizard of Vegas in the thread titled ROULETTE -- ORDER OF THE NUMBERS.


Written by: Michael Shackleford