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European Roulette — Odds, Probabilities & House Edge

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What Is European Roulette?

European roulette is the original and most player-friendly version of roulette. The wheel contains 37 numbered pockets — the numbers 1 through 36 plus a single green zero (0). The numbers 1–36 alternate between red and black, while the zero is always green.

Because there are 37 pockets but the maximum payout on a straight-up (single number) bet is 35:1, the casino retains a mathematical edge of exactly 1 in 37 = 2.703% on every bet. This is the house edge, and it applies equally to all standard bet types in European roulette.

Key advantage over American roulette: European roulette's single zero means nearly half the house edge compared to American roulette's double zero (5.263%). Always choose European roulette when given the choice.

European Roulette Wheel — Number Sequence

The numbers on a European roulette wheel are not arranged in numerical order. The official clockwise sequence is:

0 · 32 · 15 · 19 · 4 · 21 · 2 · 25 · 17 · 34 · 6 · 27 · 13 · 36 · 11 · 30 · 8 · 23 · 10 · 5 · 24 · 16 · 33 · 1 · 20 · 14 · 31 · 9 · 22 · 18 · 29 · 7 · 28 · 12 · 35 · 3 · 26

This arrangement ensures that high and low numbers, and red and black numbers, are distributed as evenly as possible around the wheel. The 18 red numbers are: 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36. The remaining 18 numbers (excluding 0) are black.

All European Roulette Bets — Odds & Payouts

Bet TypeNumbersWin ProbabilityPayoutHouse EdgeEV on €100
Straight Up12.703%35:12.703%-€2.70
Split25.405%17:12.703%-€2.70
Street38.108%11:12.703%-€2.70
Corner / Square410.811%8:12.703%-€2.70
Six Line616.216%5:12.703%-€2.70
Column1232.432%2:12.703%-€2.70
Dozen1232.432%2:12.703%-€2.70
Red / Black1848.649%1:12.703%-€2.70
Odd / Even1848.649%1:12.703%-€2.70
Low (1–18) / High (19–36)1848.649%1:12.703%-€2.70

The La Partage Rule — Cutting the House Edge in Half

Some European casinos — particularly in France and the United Kingdom — offer a rule called La Partage (French for "the sharing"). Under this rule, if the ball lands on zero and you have placed an even-money bet (red/black, odd/even, or low/high), you receive half your stake back instead of losing the full amount.

This halves the effective house edge on those bets from 2.703% to just 1.352%, making La Partage even-money bets the mathematically best wagers in roulette. A similar rule, En Prison, keeps your bet "in prison" for one more spin instead of returning half immediately.

La Partage EV on €100 even-money bet: Expected loss is only €1.35 per spin — versus €2.70 without the rule.

Why the House Always Wins in the Long Run

The house edge of 2.703% is not just a statistical curiosity — it is a mathematical certainty over many spins. For every €100 wagered, the casino expects to keep €2.70 on average. After 1,000 €1 bets, a player expects to lose €27. After 1,000,000 spins, the result converges almost exactly to a 2.703% loss regardless of which bets were placed.

No betting system — Martingale, Fibonacci, D'Alembert — can change this. They alter the distribution of wins and losses, but the expected value per euro wagered remains identical at -€0.027.

European Roulette Strategy Tips

→ See the complete roulette odds chart  |  → Do betting systems work? The math explained

🎯Free European Roulette Probability Calculator

All probabilities below are calculated for European roulette (37 numbers). Use the full interactive calculator →

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Statistics & Calculations

All probabilities are based on mathematical models assuming a perfectly fair, unbiased roulette wheel with independent spins. Real-world results may deviate. CasinoMoneys makes no warranty regarding accuracy or fitness for any particular purpose.

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