Calculate odds and payouts for roulette sector bets including Voisins du Zéro, Tiers du Cylindre, Orphelins, and custom neighbor bets.
P(win) = Numbers / Total Wheel NumbersCoverage
17 numbers
45.9% of wheel
Total Bet
$45
9 chips
House Edge
2.7%
Win Probability
45.95%
Neighbors of Zero - covers 17 numbers near 0
European has better odds
Amount on each chip
| Sector | Numbers | Chips | Coverage |
|---|---|---|---|
| Voisins du Zéro | 17 | 9 | 45.9% |
| Tiers du Cylindre | 12 | 6 | 32.4% |
| Orphelins | 8 | 5 | 21.6% |
| Jeu Zéro | 7 | 4 | 18.9% |
Together these sectors cover the entire wheel
Sector betting covers groups of numbers that are physically adjacent on the roulette wheel (not the table layout). Popular sectors include Voisins du Zéro (17 numbers around zero), Tiers du Cylindre (12 numbers opposite zero), and Orphelins (8 remaining numbers).
No. Sector betting does not change the house edge - it remains 2.70% on European wheels and 5.26% on American wheels. However, it allows you to bet on physically adjacent numbers, which some believe can be exploited if a wheel has bias.
A neighbors bet covers a chosen number plus typically 2 numbers on each side of it on the wheel (5 numbers total). Each number gets a straight-up bet. This is popular for players who believe certain wheel sections hit more often.
Voisins du Zéro ("Neighbors of Zero") covers 17 numbers from 22 to 25 on the wheel, centered around zero. It requires 9 chips placed on specific splits and corners, covering about 46% of the wheel.
Quick-start with common scenarios
Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.
This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.
Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.
Responsible-gambling guidance and 1-800-GAMBLER helpline.

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Coverage
17 numbers
45.9% of wheel
Total Bet
$45
9 chips
House Edge
2.7%
Win Probability
45.95%