The One Decision That Matters More Than Any Bet
Roulette strategy discussions typically focus on betting systems — Martingale, Fibonacci, Labouchere. None of them matter. No betting system changes the house edge on any roulette bet. The single decision that meaningfully affects your expected outcome in roulette happens before you place a single chip: choosing which wheel to play on.
The difference between an American double-zero wheel and a European single-zero wheel is 2.56 percentage points of house edge on every bet. That is not a small difference. At $10 per spin making 50 spins per hour, the expected loss on a European wheel is $13.50 per hour. On an American wheel it is $26.30 per hour. Same game, same bets, same excitement — the wheel choice doubles your expected cost.
Why the Double Zero Changes Everything
The house edge in roulette comes entirely from the zero pockets. On a European wheel there is one zero. On an American wheel there are two — zero and double zero. All bets pay as if the wheel had only 36 numbers. The extra zero or zeros are pure casino profit — when the ball lands on them, all outside bets lose and straight-up bets on those numbers pay 35 to 1 rather than the true odds of 36 to 1 (European) or 37 to 1 (American).
The House Edge Calculation
European wheel: 37 numbers, pays 35 to 1 on a straight-up bet. P(win) = 1/37 = 2.703%. EV = (1/37 × 35) − (36/37 × 1) = −0.02703. House edge = 2.70%
American wheel: 38 numbers, pays 35 to 1. P(win) = 1/38 = 2.632%. EV = (1/38 × 35) − (37/38 × 1) = −0.05263. House edge = 5.26%
This calculation applies identically to every bet on the layout. Red or black, odd or even, dozens, columns, splits, corners — every bet on the American wheel carries exactly 5.26% house edge. Every bet on the European wheel carries exactly 2.70%. The layout looks complex but the math is the same everywhere.
French Roulette and La Partage — 1.35%
French roulette uses the single-zero European wheel with one additional rule — La Partage. When the ball lands on zero, all even-money bets (red/black, odd/even, high/low) receive half their stake back rather than losing the full amount. This effectively halves the house edge on even-money bets from 2.70% to 1.35%. Some casinos offer En Prison as an alternative — instead of returning half the stake, even-money bets are held in prison for the next spin. If the bet wins on the next spin the full stake is returned. The mathematical effect is identical to La Partage at 1.35%.
French roulette at 1.35% on even-money bets is the best version of roulette available. It is most commonly found in European casinos and high-limit rooms. Where available it is always the preferred choice over standard European or American roulette.
Every Bet on the Roulette Layout
The roulette layout offers a wide variety of bet types. Every one carries the same house edge for its wheel type — the variety is cosmetic. Here is what each bet covers and pays:
| Bet Type | Numbers Covered | Pays | European HE | American HE |
|---|---|---|---|---|
Straight Up Single number |
1 | 35 to 1 | 2.70% | 5.26% |
Split Two adjacent numbers |
2 | 17 to 1 | 2.70% | 5.26% |
Street Three numbers in a row |
3 | 11 to 1 | 2.70% | 5.26% |
Corner Four numbers in a square |
4 | 8 to 1 | 2.70% | 5.26% |
Five Number 0, 00, 1, 2, 3 — American only |
5 | 6 to 1 | N/A | 7.89% |
Six Line Six numbers, two rows |
6 | 5 to 1 | 2.70% | 5.26% |
Dozen 1–12, 13–24 or 25–36 |
12 | 2 to 1 | 2.70% | 5.26% |
Column One of three columns |
12 | 2 to 1 | 2.70% | 5.26% |
Red or Black 18 numbers |
18 | 1 to 1 | 2.70% | 5.26% |
Odd or Even 18 numbers |
18 | 1 to 1 | 2.70% | 5.26% |
High or Low 1–18 or 19–36 |
18 | 1 to 1 | 2.70% | 5.26% |
All bets on the same wheel carry the same house edge. The five-number bet is the single exception — it covers 0, 00, 1, 2 and 3 on the American wheel and carries 7.89% rather than 5.26%.
The Five-Number Bet — The One Bet to Never Make
Every bet on the American wheel carries 5.26% house edge — with one exception. The five-number bet covers 0, 00, 1, 2 and 3 and pays 6 to 1. This bet has a house edge of 7.89% — 50% higher than every other American wheel bet. There is no mathematical justification for making this bet over any other bet on the American layout. If you are going to play an American wheel, avoiding the five-number bet is the only strategy that matters.
The five-number bet is the worst bet on the roulette table. 7.89% house edge versus 5.26% on every other American wheel bet. It covers 0, 00, 1, 2 and 3 — and it is the only bet on any roulette layout with a different house edge from all other bets on the same wheel. Never place it.
Why Betting Systems Do Not Work
Roulette attracts more betting system claims than any other casino game. Martingale (double after every loss), Fibonacci, D'Alembert, Labouchere — all are marketed as ways to beat the wheel. None of them change the house edge. Here is why:
Each spin of the roulette wheel is an independent event. The wheel has no memory. A run of ten consecutive reds does not make black more likely on the eleventh spin. The probability of red is 18/38 (American) or 18/37 (European) on every single spin regardless of what came before. The house edge of 5.26% or 2.70% applies to every individual spin.
Betting systems change the size of bets across spins. They do not change the expected value per spin. A Martingale player doubling after each loss will occasionally win a small profit but faces catastrophic loss when a long losing streak hits the table limit or exhausts their bankroll. The expected value of the entire Martingale sequence is identical to flat betting — negative by the house edge percentage on every dollar wagered.
The Definitive Statement on Roulette Systems
No betting system can change a negative expected value game into a positive one. The expected loss per dollar wagered on American roulette is 5.26 cents. Betting $5 after losses and $1 after wins, or any other pattern, produces the same expected loss per dollar wagered. The only variables a player controls are which wheel to play and how much total money to put at risk.
Roulette Compared to Other Casino Games
| Game / Bet | House Edge | Verdict vs Roulette |
|---|---|---|
French Roulette — La Partage |
1.35% | Best roulette available |
Blackjack — Basic Strategy |
0.50% | Much better than any roulette |
Baccarat — Banker |
1.06% | Much better than American roulette |
European Roulette — All bets |
2.70% | Acceptable — always prefer over American |
American Roulette — All bets |
5.26% | Avoid when European available |
American Roulette — Five Number |
7.89% | Never bet this |
Where to Find European Roulette
In the United States, American double-zero roulette dominates most casino floors. European single-zero wheels are available but often require some searching:
Las Vegas Strip: Most major Strip casinos offer at least one single-zero European wheel, often in a higher minimum section. Ask the floor staff — the wheel exists but may not be prominently displayed.
Downtown Las Vegas: Single-zero wheels are more commonly offered at standard minimums in downtown properties competing for value-conscious players.
Tribal Casinos: Varies significantly by property. Some tribal casinos offer only American wheels. Others have introduced European wheels to attract players. Always ask before assuming.
Online Casinos: European and French roulette are widely available online at all stake levels. The La Partage rule at 1.35% house edge is more accessible online than in brick-and-mortar casinos in most US markets.
The Bottom Line
Roulette is a game of pure chance. No decision the player makes after choosing their wheel changes the outcome — every bet carries the same house edge regardless of what numbers are selected, what pattern is followed or what system is used. The only meaningful strategic decision is choosing the right wheel.
European over American — always. French with La Partage over European — whenever available. Never place the five-number bet on an American wheel. Beyond those three rules there is nothing else to optimize in roulette. The wheel does the rest.