The House Edge

Odds & Math

The House Edge

Xavi Torrez
Xavi Torrez iGaming analyst & Roulette specialist
Last updated:

The house edge in roulette is the built-in mathematical advantage that produces casino profit over time. It is small per spin and large over thousands of them and it is the core reason no betting system beats roulette in the long run. This page covers how it works, how it is calculated, and which variants give players the lowest figure available.

1.35%
French + La Partage
2.70%
European Roulette
5.26%
American Roulette

What Is the House Edge?

The house edge is the average percentage of every bet the casino mathematically expects to retain over a large number of spins. It is not a guarantee on a single round any individual spin can win or lose. It is a long-run statistical average that becomes increasingly accurate as the spin count grows.

A 2.70% edge means that for every €100 wagered across thousands of spins, the casino expects to keep €2.70. The remaining €97.30 is returned to players on average. That puts roulette among the lower-edge casino games — and explains why variant choice carries so much weight.

Core principle: the house edge applies equally to every standard bet on a European wheel — straight-up numbers, red/black, dozens, columns. The payout shape differs between bets; the expected loss per euro staked does not. Model exact returns at your own stake with the payout calculator.

How Is It Calculated?

The edge comes from one source: payouts are priced as if there are 36 numbers on the wheel, but the wheel actually holds 37 (European) or 38 (American). The extra zero pocket — paying 35:1 like any other number, but causing every outside bet to lose — is where the casino’s mathematical advantage lives.

The formula: Edge = (Pockets − Payout − 1) ÷ Pockets × 100

European (straight-up): (37 − 35 − 1) ÷ 37 × 100 = 2.70%
American (straight-up): (38 − 35 − 1) ÷ 38 × 100 = 5.26%

The same calculation for any bet type on European roulette always returns 2.70% — payout scales exactly with the number of pockets covered.

La Partage changes this for even-money bets only: when zero lands, half the stake comes back. That effectively halves the edge from 2.70% to 1.35% — zero costs only half a bet on even-money positions instead of a full one.

House Edge by Variant

Variant Zero pockets Total pockets House edge Applies to
French Roulette + La Partage 1 37 1.35% Even-money bets only
European Roulette 1 37 2.70% All bets
American Roulette 2 (0 + 00) 38 5.26% All bets
American — Five Number Bet 2 38 7.89% This specific bet only
Triple Zero / Mexican 3 39 7.69% All bets
No Zero Roulette 0 36 0.00% (theoretical) Promotional — rare, usually compensated elsewhere
No Zero Roulette caveat: the 0% edge on No Zero Roulette is theoretical. Platforms offering this variant typically recover margin elsewhere — through lower bonuses, membership fees or reduced payout schedules. Always read the full terms before treating it as a genuine zero-edge game.

Does the Edge Change Per Bet Type?

No. On a European wheel, every standard bet carries exactly the same 2.70% edge. A straight-up at 35:1 and a red/black at 1:1 have identical expected value per euro staked. This is one of the most misunderstood facts in roulette.

Bet type Payout Win % (EU) House edge (EU) Expected loss per €100
Straight Up35:12.70%2.70%€2.70
Split17:15.41%2.70%€2.70
Street11:18.11%2.70%€2.70
Corner8:110.81%2.70%€2.70
Six Line5:116.22%2.70%€2.70
Dozen / Column2:132.43%2.70%€2.70
Even Money (EU)1:148.65%2.70%€2.70
Even Money (FR + La Partage)1:148.65%1.35%€1.35

The only exception on a European wheel is La Partage on even-money bets — which genuinely halves the expected loss.

How to Reduce the House Edge

The edge in standard roulette can be minimised but not eliminated. Five actions have a direct mathematical impact:

More information about the betting options.

1. Choose European or French tables
Always avoid American and Triple Zero wheels. Switching from American (5.26%) to European 2,70%) halves expected loss per spin — the most impactful single decision available.
2. Play where La Partage or En Prison applies
On even-money bets, these French rules return half the stake when zero lands. Edge drops from 2.70% to 1.35% — €6.75 saved per 100 spins at €10/spin versus a standard European table.
3. Use even-money bets on French tables
La Partage applies to even-money bets only. To capture the 1.35% edge fully, stick to Red/Black, Even/Odd or 1–18/19–36 on French Roulette tables.
4. Ignore hot and cold number myths
Every spin is independent. The wheel has no memory. Hot and cold numbers are statistical variance, not patterns that reduce or increase the edge. The full math sits in the hot and cold numbers breakdown.
5. Manage your bankroll with session limits
Bankroll discipline does not change the edge mathematically — it controls how much exposure accumulates per session. The flat betting page covers the lowest-risk approach.

Comparison with Other Casino Games

Roulette’s edge holds up well against most casino games — particularly on a French table with La Partage. The table below puts it next to popular alternatives:

Game House edge Notes
French Roulette + La Partage1.35%Lowest in roulette — even-money bets only
Blackjack (optimal strategy)0.5%Best overall edge — requires memorised correct play
Craps (Pass Line bet)1.41%Comparable to French Roulette
European Roulette2.70%Standard — every bet equal edge
Baccarat (Banker bet)1.06%Low edge but 5% commission on wins reduces appeal
American Roulette5.26%Avoid — double zero nearly doubles the edge
Slots4–10%Varies widely by machine and operator
Keno25–40%Very high edge — lottery-style
Bottom line: French Roulette with La Partage at 1.35% sits next to the best-value bets in any casino. European Roulette at 2.70% is a fair game by any standard. American Roulette at 5.26% should always be avoided when a single-zero alternative exists at the same stakes.

Frequently Asked Questions

Is the house edge the same on every roulette bet?

Yes — on a European wheel, every standard bet carries exactly 2.70% house edge. A straight-up number at 35:1 and a red/black bet at 1:1 have identical expected value per euro staked. The single exception is even-money bets on French Roulette with La Partage, where the edge drops to 1.35%.

Can I beat the house edge with a betting system?

No. Betting systems — Martingale, Fibonacci, D’Alembert, Labouchere — rearrange when and how much you win or lose per session, but they cannot change the underlying edge. Across a large enough sample, the casino always retains its 2.70% per euro wagered regardless of how stakes are structured. The full risk analysis for each system sits in the strategy index.

How much does the house edge cost per hour?

At €10/spin on a standard live table (~45 spins/hour): expected loss per hour = 45 × €10 × 2.70% = €12.15. On French Roulette with La Partage (even-money bets): 45 × €10 × 1.35% = €6.08. On American Roulette: 45 × €10 × 5.26% = €23.67. Variant choice saves or costs real money every hour at the table.

Does playing online vs land-based change the house edge?

No — the edge is the same online and land-based for the same variant. European Roulette is 2.70% whether played at a physical casino or an online live dealer table. What changes online is the spin rate: RNG roulette can process 200+ spins per hour versus 40–50 at a live table. A higher spin rate compresses the same edge into a shorter time frame. The deeper comparison sits in the online vs land-based breakdown.

What happens when zero lands without La Partage?

Every outside bet loses — red/black, odd/even, high/low, dozens, columns. Inside bets placed directly on zero pay 35:1 like any other number. Without La Partage or En Prison there is no partial refund. This is precisely what produces the 2.70% edge on a European wheel and the 5.26% edge on American.

Further Reading