The math of roulette
French roulette odds and La Partage
La Partage returns half an eligible even-money stake when zero lands on a single-zero wheel. With that rule, the house edge on those bets is 1.35%.
1.35%
Eligible even-money bets only
Single zero with La Partage
What La Partage changes
Red/black, odd/even and low/high bets are the eligible even-money groups in this model. A normal win pays 1:1. An opposite result loses the stake. Zero loses half rather than all of it.
The 1.35% calculation
For a $10 red bet: 18 outcomes earn $10, 18 lose $10 and zero loses $5. Expected net is −$5/37, or about −$0.1351. Dividing by $10 gives 1/74, or 1.351351%, house edge.
Other bets keep their normal treatment
The half-loss rule does not automatically apply to straight-up bets, dozens or columns. A standard single-number wager still has its usual 2.70% edge on the 37-pocket wheel.
En Prison needs its own rules
En Prison can hold an eligible stake over to a later spin instead of immediately returning half. The treatment of another zero must be specified. This package does not model that deferred settlement in the calculator.
House edge with and without La Partage
| Bet | Standard rule | With La Partage |
|---|---|---|
| Red/black, odd/even, low/high | 2.70% | 1.35% |
| Dozen or column | 2.70% | 2.70% |
| Straight-up and other inside bets | 2.70% | 2.70% |
French roulette table terms
- Rouge / Noir
- Red / black
- Pair / Impair
- Even / odd
- Manque / Passe
- Low 1–18 / high 19–36
- Douzaine / Colonne
- Dozen / column
- Plein
- Straight-up on one number
- Cheval
- Split
- Transversale pleine
- Street
- Carré
- Corner
- Sixain
- Six-line
A French layout uses the same 37-pocket wheel as European roulette. The European roulette odds apply unless a written rule such as La Partage changes settlement.