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ROU 302: European Roulette House Edge

European roulette has one zero and a standard 2.70% house edge, making it better than the American double-zero wheel.

ROU 302: European Roulette House Edge
Point Value
House Edge 2.70%
Difficulty Medium
Skill Ceiling Medium

European roulette has a standard house edge of 2.70%. The wheel has 37 pockets: numbers 1–36 plus one zero. The casino pays standard bets as if the zero were not fully priced into the payout, and that one extra losing pocket creates the 1/37 advantage.

Quick Facts

  • European roulette uses a single-zero wheel.
  • Total pockets: 37.
  • Straight-up probability: 1/37 = 2.7027%.
  • Even-money bet probability: 18/37 = 48.6486%.
  • Standard house edge: 1/37 = 2.7027%, rounded to 2.70%.
  • It is materially better than American roulette’s 5.26% standard edge.
  • La Partage or En Prison can reduce even-money bet cost further when offered.

Plain Talk

European roulette is the cleanest common version of standard roulette.

It still favors the casino. It just does not charge the double-zero price.

The entire difference comes from the wheel. European roulette has one green zero. American roulette has zero and double zero. Since most standard roulette payouts are the same on both wheels, the single-zero version gives the player a better deal.

A straight-up bet still pays 35 to 1. But the true odds on a European wheel are 36 to 1 against. That missing unit is the edge.

This page is specifically about the single-zero European wheel. For the broader comparison, read European vs American roulette. For the full game cost, read roulette house edge.

How It Works

European roulette has 37 possible results:

Pocket typeCount
Red numbers18
Black numbers18
Zero1
Total37

That one zero is enough.

Take a red bet. You win on 18 red numbers. You lose on 18 black numbers and zero. That means 18 wins and 19 losses.

BetWinning pocketsLosing pocketsPayoutHouse edge
Red/black18191 to 12.70%
Odd/even18191 to 12.70%
High/low18191 to 12.70%
Dozen12252 to 12.70%
Column12252 to 12.70%
Straight-up13635 to 12.70%

The Wizard of Odds roulette basics gives the standard payout and edge figures. Regulatory rule documents such as the Nevada roulette rules of play and Massachusetts roulette rules are useful for seeing how official roulette procedure defines legal wagers and settlement.

Why most bets share the same edge

The hit frequency changes, but the payout changes with it.

A straight-up bet hits rarely and pays 35 to 1. Red hits often and pays only 1 to 1. A dozen sits in the middle and pays 2 to 1. On a normal European wheel, those payout ratios all leave the same 1/37 shortage.

That does not mean all bets feel the same. They do not. Inside bets swing harder. Outside bets move more slowly. But the long-run price is usually the same.

Roulette Table Example

You find two roulette tables in the same casino:

TableWheelMinimumStandard edge
Table AEuropean single-zero$252.70%
Table BAmerican double-zero$105.26%

You plan to bet $25 per spin for 40 spins.

On the European table:

$$$1,000 \times 0.027027 = $27.03$$

On the American table:

$$$1,000 \times 0.052632 = $52.63$$

The European table has a higher minimum, but if you are betting $25 either way, it is clearly the better mathematical choice.

Now suppose your budget only allows $10 per spin. The American table may be the only one you can comfortably play. That is a bankroll decision, not a better-odds decision.

Use the expected loss calculator to compare wheel type, bet size, and session length before you sit down.

From the Casino Side:

Casinos know single-zero roulette is easier to market to knowledgeable players.

A European wheel can attract players who understand the difference between 2.70% and 5.26%. The casino may respond with higher minimums, fewer tables, different placement on the floor, or special rules. The lower edge does not mean the casino dislikes the game. It means the casino prices it differently.

A table manager looks at more than house edge. They look at drop, handle, occupancy, speed, dealer efficiency, player profile, and theoretical win. A single-zero table with higher average bets can still be very profitable.

From game protection’s view, the procedure is the same basic discipline: legal bets, no late action, clean settlement, correct payouts, and fast correction of disputes.

Common Mistakes

  • Thinking European roulette is beatable because it has a lower edge.
  • Ignoring table minimums when comparing wheels.
  • Assuming every single-zero game includes La Partage.
  • Confusing French roulette rules with European wheel layout.
  • Believing outside bets are cheaper than inside bets on the same wheel.
  • Comparing short-term results instead of long-term expected loss.
  • Playing triple-zero or double-zero because the table minimum is lower without doing the cost math.

Hard Truth

European roulette is the better bad deal. That matters. It still does not make the wheel your friend.

FAQ

What is the house edge on European roulette?

The standard house edge is 2.70%, based on 1/37 or 2.7027% rounded.

Why is European roulette better than American roulette?

European roulette has one zero. American roulette has zero and double zero. The extra green pocket raises the standard edge to 5.26%.

Does every European roulette bet have a 2.70% edge?

Most standard bets do. Some special rules or side bets may differ, so check the game rules.

Is French roulette the same as European roulette?

French roulette usually uses a single-zero wheel, but it may add La Partage or En Prison rules that improve even-money bets.

What is the probability of hitting one number on European roulette?

One number has a 1/37 chance, or about 2.70%.

What is the probability of winning red or black?

Red or black wins on 18 of 37 pockets, or about 48.65%.

Can a betting system beat European roulette?

No normal betting progression removes the 2.70% edge. It only changes bet size and volatility.

Deeper Insight

The European edge is small enough to fool players.

A 2.70% cost sounds mild. Many players compare it with high-edge slots or carnival games and decide roulette is “almost fair.” In one sense, it is one of the cleaner casino games. In another sense, the edge is still relentless because roulette encourages repeated action.

The danger is not one spin. The danger is churn.

If you bet $20 one time, the theoretical cost is about 54 cents. That sounds harmless. If you bet $20 for 200 spins across a long session, your action is $4,000 and the theoretical cost is about $108.11. The edge did not change. The volume did.

This is why a smart roulette player cares about three things:

  • choose single-zero over double-zero when available,
  • keep total action under control,
  • avoid progressions that force larger bets after losses.

European roulette gives you a lower price. You still decide how much of that price you buy.

Formula / Calculation

Probability:

$$P(event) = \frac{favorable\ pockets}{total\ pockets}$$

Straight-up probability:

$$P(single\ number) = \frac{1}{37} = 2.7027%$$

Even-money probability:

$$P(red) = \frac{18}{37} = 48.6486%$$

Expected value for a 1-unit red bet:

$$EV = \left(\frac{18}{37} \times 1\right) - \left(\frac{19}{37} \times 1\right) = -\frac{1}{37}$$

House edge:

$$House\ Edge = \frac{-EV}{Initial\ Stake} = \frac{1}{37} = 2.7027%$$

Expected loss:

$$Expected\ Loss = Total\ Amount\ Wagered \times 0.027027$$

Formula Explanation in Plain English

On an even-money bet, 18 pockets help you and 19 pockets hurt you. The zero is the extra hurt. Because the payout is only 1 to 1, that one extra losing pocket becomes the casino’s 2.70% edge.

On a single number, the same idea appears differently. You win on 1 pocket and lose on 36, but the payout is 35 to 1 instead of true 36 to 1. Again, the missing value is the edge.

Use the roulette guide if you are building the course from the beginning. Compare this page with American roulette house edge and French roulette house edge. For broader probability, read roulette odds and roulette payouts vs true odds. Test the numbers with the roulette odds calculator, house edge calculator, or expected loss calculator.

Play smart. Gambling involves real financial risk. If the game stops being entertainment, it's time to stop playing.