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Roulette Odds: Win Chance & House Edge Explained

Roulette odds explained: win probability for every bet, the house edge (2.70% European vs 5.26% American), and why no system beats it. Practise free.

James Carter · Senior Casino Game Analyst

15+ years casino industry experience · Certified Gaming Professional · Mathematics degree with focus on probability theory

Updated
10 June 2026
Read
14 min

Roulette Odds Explained: Your Real Chances of Winning Every Bet

Roulette odds describe the probability that a given bet wins, calculated as the numbers you cover divided by the total pockets on the wheel. A single number on a European wheel covers 1 pocket out of 37, so it wins 2.70% of the time. That one ratio governs everything: your chance of winning, the long-run cost of playing, and why no betting system can shift the result in your favour. This guide explains the probability behind every roulette bet, the house edge across European, American, and French wheels, and the maths that proves why the edge never changes. It is the companion to our roulette payout guide, which covers what each bet pays rather than how often it wins. Test every probability on our free roulette simulator across 100+ real provider demo games, with nothing at stake.

Table of Contents

How Roulette Odds Are Calculated

Roulette odds are the win probability of a bet, found by dividing the numbers your chips cover by the total pockets on the wheel. A European wheel holds 37 pockets (0 to 36), so a bet on a single number wins 1 ÷ 37 = 2.70% of the time. An American wheel holds 38 pockets because it adds a second zero (00), so the same single-number bet wins 1 ÷ 38 = 2.63% of the time. Roulette probability falls slightly on the American wheel because there is one more pocket the ball can land in.

This formula defines every probability on the table. Cover 18 red numbers on a European wheel and the win chance is 18 ÷ 37 = 48.65%, just under half because the green zero belongs to neither colour. Cover 12 numbers with a dozen bet and the chance is 12 ÷ 37 = 32.43%. The maths never depends on the colour of the felt, the dealer, or how the previous spin landed. Each pocket carries an equal and independent chance on every spin, which is why roulette is a fixed-probability game rather than a game of skill.

European roulette gives the better odds on every bet because 37 pockets beat 38: fewer pockets mean a higher win chance for the same numbers covered. That single-pocket difference is the entire reason a European roulette wheel returns more to players over time than an American one. You can confirm any roulette probability yourself by placing the same bet repeatedly in the simulator and watching the win rate settle toward the calculated figure.

Odds vs Payout: Why They Are Not the Same

Odds and payout describe two different things, and confusing them is the most common mistake new roulette players make. Odds are how often a bet wins. Payout is how much a winning bet returns. A straight-up bet has odds of 2.70% on a European wheel but a payout of 35:1, and those two numbers answer entirely separate questions. This page covers the odds; our roulette payout guide covers the payouts in full.

The gap between odds and payout is where the house edge lives. A straight-up bet wins 1 time in 37 on a European wheel, but it pays only 35:1, not 36:1. If the payout matched the true odds, the game would be break-even and the casino would make nothing. Instead the bet pays as though the wheel held 36 pockets when it holds 37, and that one-pocket shortfall is the casino’s profit margin built into every wager.

Reading both figures together is the only way to judge a bet honestly. A red/black bet wins 48.65% of the time and pays 1:1, so it feels safe because it lands often. A straight-up bet wins 2.70% of the time and pays 35:1, so it feels exciting because the return is large. Both carry the identical 2.70% house edge on a European wheel, so neither is a better bet in the long run. The difference is variance, not value: outside bets produce small, frequent swings, and inside bets produce rare, large ones. To see exactly what each bet returns when it lands, open our roulette payout calculator and enter any stake.

Win Probability for Every Roulette Bet

Every roulette bet has a fixed win probability set by how many of the 37 European pockets it covers, ranging from 2.70% for a single number up to 48.65% for an even-money bet. The table below gives the win probability for each bet type on a European wheel, alongside the payout, so you can read odds and return side by side. The probability is the figure that matters for how often you win; the payout is what you collect when you do.

The win chances below assume a single-zero European wheel with 37 pockets. On an American wheel the probabilities drop slightly because there are 38 pockets, so each figure becomes the numbers covered divided by 38 instead of 37. The payout ratios stay identical across both wheels; only the win probability and the house edge shift with the extra pocket.

Bet TypeNumbers CoveredWin Probability (European)Payout
Straight Up12.70%35:1
Split25.41%17:1
Street38.11%11:1
Corner410.81%8:1
Six Line616.22%5:1
Column1232.43%2:1
Dozen1232.43%2:1
Red / Black1848.65%1:1
Odd / Even1848.65%1:1
High / Low1848.65%1:1

Read the table as a trade-off rather than a ranking. The even-money bets at the bottom win almost half the time but return only your stake again, while the straight-up bet at the top wins once in 37 spins but returns 35 times your stake. No bet on the list wins more than 48.65% of the time on a European wheel, because the green zero always sits outside every even-money group. That zero is the reason a red/black bet falls short of a true coin flip, and it is the source of the house edge explained in the next section. Place any of these bets on a European roulette table in our simulator to watch the win rate hold to the figures above over a long session.

What the House Edge Is and How It Works

The house edge is the percentage of every bet the casino keeps on average over time, and it comes directly from the gap between true odds and actual payout. On European roulette the house edge is 2.70% on every bet type. On American roulette it is 5.26% because of the second zero. On French roulette with the La Partage rule it falls to 1.35% on even-money bets, the lowest house edge in the game. These three figures decide how much roulette costs you, and they never change with strategy, stake size, or luck.

European roulette carries a 2.70% house edge because the wheel has 37 pockets but every bet pays as though there were 36. Work it out on a straight-up bet: you win 1 time in 37 and lose 36 times in 37, and the win pays 35 units while each loss costs 1. Over 37 one-unit spins you stake 37 units and get back 36, losing 1, and 1 ÷ 37 = 2.70%. The same 2.70% applies to every European bet, inside or outside, because the single zero affects them all equally.

American roulette doubles the cost to a 5.26% house edge by adding the 00 pocket. The wheel now has 38 pockets, but the payouts stay exactly the same. A straight-up bet still pays 35:1, yet it now wins only 1 time in 38, so over 38 spins you lose 2 units across 38 staked: 2 ÷ 38 = 5.26%. Adding a single pocket nearly doubles the long-run cost, which is why a European roulette game is always the better mathematical choice over an American roulette wheel when both are available.

French roulette runs on the same 37-pocket single-zero wheel as European roulette, but the La Partage rule cuts the even-money house edge in half. When the ball lands on zero, La Partage returns half your even-money stake instead of taking all of it, which softens the only losing outcome that gives the house its edge on those bets. That halving drops the effective edge on red/black, odd/even, and high/low from 2.70% to 1.35%. The related En Prison rule reaches the same 1.35% by holding the bet for one more spin instead of splitting it. Both rules apply only to even-money bets, so inside bets on a French wheel keep the standard 2.70% edge. For the variant that gives you the best odds, French roulette with La Partage wins outright at 1.35%.

Why No Betting System Changes the Odds

No betting system changes roulette odds, because each spin is independent and the house edge applies to every individual bet regardless of what came before. The Martingale, the Fibonacci, the D’Alembert, and every other progression system rearrange how much you stake from spin to spin, but they cannot alter the win probability of any single bet. A red/black bet wins 48.65% of the time on a European wheel whether it is your first spin or your thousandth, and whether you stake £1 or £1,000.

The reason is that roulette spins have no memory. The wheel does not know that red has landed five times in a row, so the probability of red on the next spin is still 48.65%, exactly as it was on the first. Believing that a long run of one colour makes the other “due” is the gambler’s fallacy, and it is the false premise underneath most betting systems. Multiplying your stake after a loss does not improve your chance of winning; it only changes the size of the win or loss when the outcome finally lands.

The Martingale system shows the trap clearly. It tells you to double your stake after every loss so that one win recovers everything, which sounds foolproof until you hit a losing streak. Stake £10 and lose eight even-money spins in a row and the ninth bet needs to be £2,560 to recover, with £2,550 already gone. Table limits and your own bankroll cap the doubling long before the system can guarantee a recovery, and the 2.70% house edge still applies to every bet along the way. Systems redistribute your risk; they never remove the edge. For an honest breakdown of what staking plans can and cannot do, read our best roulette strategy guide, which treats systems as bankroll management rather than a way to beat the wheel.

Expected Value: What You Lose Over Time

Expected value is the average amount a bet returns or costs over many repetitions, and on every roulette bet it is negative by exactly the house edge. The expected value of a £10 bet on European roulette is −£0.27, because the 2.70% house edge takes 2.70% of every £10 staked on average. Expected value is the single number that tells you the true long-run cost of a bet, and it is always against you in roulette, no matter which bet you choose.

Work it through on a straight-up bet to see why. Stake £10 on a single number on a European wheel: you win £350 with a probability of 1 ÷ 37 and lose your £10 with a probability of 36 ÷ 37. The expected value is (£350 × 1/37) − (£10 × 36/37) = £9.46 − £9.73 = −£0.27. Repeat the calculation on a red/black bet, a dozen bet, or any other European wager and you reach the same −£0.27 per £10 staked, because the 2.70% edge is uniform across the wheel.

This is why the house edge matters more than any single result. Over one spin anything can happen, but over a long session the law of large numbers pulls your actual results toward the expected value. Stake £10 a spin for 500 spins on a European wheel and you will, on average, lose around £135, while the same play on an American wheel costs roughly £263 because the edge is 5.26%. French roulette with La Partage cuts the even-money loss to about £68 over the same 500 spins. The cheapest way to test these figures is to play them with no money down. Practise every bet free on our roulette simulator, and use the payout calculator to confirm the return on any bet before you stake real money anywhere.

Frequently Asked Questions

These answers cover the most common roulette odds questions, each tied to the win-probability formula and house-edge figures used throughout this guide.

What are the odds of winning at roulette?

The odds of winning at roulette depend on the bet, ranging from 2.70% for a single number to 48.65% for an even-money bet on a European wheel. Win probability equals the numbers you cover divided by the 37 pockets on a European wheel, or 38 on an American wheel. A red/black bet gives the best single-bet win chance at 48.65%, just under half because the green zero sits outside the colour groups. No roulette bet wins more often than that, and every bet still carries the house edge, so frequent wins do not mean long-term profit.

Which roulette bet has the best odds?

The even-money bets (red/black, odd/even, high/low) have the best winning odds at 48.65% on a European wheel, and the same bets on a French wheel offer the best value at a 1.35% house edge with La Partage. Best odds of winning and best value are two different things. Even-money bets win close to half the time, while a French wheel’s La Partage rule also makes them the cheapest bets in the game over the long run. For the lowest house edge of any roulette bet, an even-money wager on French roulette is the clear answer.

What is the house edge in roulette?

The house edge in roulette is 2.70% on European, 5.26% on American, and 1.35% on French roulette with La Partage on even-money bets. It is the percentage of every stake the casino keeps on average over time, built into the gap between true odds and the actual payout. European roulette uses 37 pockets and American uses 38, which is the entire reason the American edge is nearly double. The house edge is fixed and applies to every bet equally, so no bet on the table escapes it.

Can you beat roulette odds with a betting system?

No betting system beats roulette odds, because each spin is independent and the house edge applies to every bet no matter the stake. Systems like the Martingale or Fibonacci change how much you wager from spin to spin, but they cannot change the win probability of any single bet. A losing streak plus table limits will always cap a progression before it can guarantee a recovery, and the 2.70% European edge stays on every bet you place. Betting systems are bankroll-management tools at best, not a way to win.

What are the odds of hitting the same number twice in a row?

The odds of hitting the same number twice in a row on a European wheel are 1 in 1,369, calculated as 1/37 × 1/37. Each spin is independent, so the first number landing has no effect on the second. The probability of any specific number on a single spin is 1 ÷ 37 = 2.70%, and squaring that gives 0.073% for two spins in a row. The wheel has no memory, which is why a number that just landed is no more and no less likely to land again.


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