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Roulette Sector Bets

Introduction

Roulette Sector Bets

Certain roulette wheels with a single zero offer an easy method to wager on large segments of the wheel. These sector wagers combine traditional bets to cover specific sequences of numbers. While players can place these bets manually, a dedicated table simplifies the process by automatically breaking down the large bet into smaller ones that correspond to a sector. Below is some essential roulette terminology to clarify how sector bets are structured:

  • Straight up — This is a bet placed on a single number, with a payout ratio of 35 to 1 for winning bets.
  • Split — This refers to a wager made on two neighboring numbers on the betting grid, paying out at a rate of 17 to 1.
  • Street — A bet on a set of three consecutive numbers in a line on the betting grid, which returns winnings at 11 to 1.
  • Trio — This is a bet on three adjacent numbers on the betting layout that includes zero, with winnings also at 11 to 1.
  • Corner — A wager on a group of four adjacent numbers on the betting layout, offering a payout of 8 to 1 for a win.

Jeu Zero

Jeu Zero, which translates to 'game zero' in English, strategically covers the seven numbers from 12 to 15 on the roulette wheel. Bets should be multiples of four to maintain balance, accomplished by splitting the total bet into these distinct wagers:

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

The subsequent table illustrates the expected returns for a total bet of four units. The returns column is derived from the product of the probability of winning and 1/4. The division by four indicates the return in relation to the total four-unit stake. The lower right cell reveals that the house edge stands at 2.70%.

Jeu Zero

Numbers Net Win Combinations Probability Return
26 32 1 0.027027 0.216216
0,3,12,15,32,35 14 6 0.162162 0.567568
All other -4 30 0.810811 -0.810811
Total   37 1.000000 -0.027027

Voisins du zéro

Voisins du zéro, meaning 'neighbors of zero' in English, overlaps with the Jeu Zero sector. It facilitates covering 17 specific numbers ranging from 22 to 25 on the wheel, with total bets needing to be multiples of nine. This is achieved by splitting the bet into the following various wagers:

  • 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 outlines the expected returns when placing a nine-unit bet. The returns column is calculated as the product of the winning probability and 1/9. This division by nine serves to relate back to the total bet of nine units. The lower right cell also indicates a house edge of 2.70%.

Voisins du zéro

Numbers Net Win Combinations Probability Return
0,2,3 15 3 0.081081 0.135135
22,18,29,7,28,12,35,26,32,15,19,4,21,25 9 14 0.378378 0.378378
All other -9 20 0.540541 -0.540541
Total   37 1.000000 -0.027027

The Third of the Cylinder

Le tiers du cylinder translates to 'third of the wheel' in English and is designed to cover the twelve numbers found between 27 and 33 on the wheel. All bets in this case should be multiples of six, achieved through these six splits: 5-8, 10-11, 13-16, 23-24, 27-30, and 33-36.

The following table presents the anticipated returns for a total stake of six units. The returns column reflects the product of the probability of winning and 1/6, illustrating the return against the total bet. The lower right cell indicates a house edge of 2.70%.

The Third of the Cylinder

Numbers Net Win Combinations Probability Return
27,13,36,11,30,8,23,10,5,24,16,33 12 12 0.324324 0.648649
All other -6 25 0.675676 -0.675676
Total   37 1.000000 -0.027027

Orphans

Orphelins translates to 'orphans' in English and allows players to place bets covering two unconnected sections of the wheel, specifically the ranges of 17 to 6 and 1 to 9. The total bets should be multiples of five, executed through the following subdivisions:

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

It's important to note that the number 17 appears in two different split bet scenarios. The subsequent table will show the anticipated returns for a total of five units. The returns column is derived from the probability of winning and 1/5, emphasizing the return in comparison to the total four-unit stake. The lower right cell again shows a house edge of 2.70%.

Orphans

Numbers Net Win Combinations Probability Return
1 31 1 0.027027 0.167568
17 31 1 0.027027 0.167568
6,9,14,20,31,34 13 6 0.162162 0.421622
All other -5 29 0.783784 -0.783784
Total   37 1.000000 -0.027027

Neighbors

Encircling the aforementioned five sector bets, one can observe a layout resembling a racetrack, which includes all numbers from 0 to 37 in their corresponding order as they appear on the wheel.

racetrack

This racetrack serves the purpose of facilitating bets on any five consecutive numbers on the wheel, referred to as Neighbors bets. For instance, to cover the sequence of five numbers with 23 positioned centrally (30, 8, 23, 10, 5), one would place a Neighbors bet centered around 23. Such a bet needs to be equally divisible by five, translating into five straight-up bets corresponding to each number within that sector.

At select online casinos and virtual roulette games, Neighbors bets can also be placed to encompass continuous sectors consisting of three, five, or seven numbers, and the total bet should be divisible by the size of the sector.

The following table demonstrates the expected returns for Neighbors bets covering a sector of three numbers. The returns column is calculated as the product of the wins, probability, and 1/3, showcasing the returns in relation to a three-unit bet. The lower right cell reflects a house edge of 2.70%.

Three-Number Neighbors

Numbers Net Win Combinations Probability Return
Win 33 3 0.081081 0.891892
Loss -3 34 0.918919 -0.918919
Total   37 1.000000 -0.027027

The following table displays the anticipated returns for Neighbors bets across a five-number sector. The returns column calculates the product of the winning outcome, its probability, and 1/5, establishing the returns against a five-unit bet. The lower right section also shows a house edge of 2.70%.

Five-Number Neighbors

Numbers Net Win Combinations Probability Return
Win 31 5 0.135135 0.837838
Loss -5 32 0.864865 -0.864865
Total   37 1.000000 -0.027027

The next table represents the expected returns for Neighbors bets on a seven-number sector. The returns column is determined using the winning amount, probability, and 1/7, aimed at illustrating the returns based on a unit bet of seven. Again, the lower right cell reveals a house edge of 2.70%.

Seven-Number Neighbors

Numbers Net Win Combinations Probability Return
Win 29 7 0.189189 0.783784
Loss -7 30 0.810811 -0.810811
Total   37 1.000000 -0.027027