Roulette Payout Calculator
A winning $10 straight bet produces $350 in profit and returns $360 including the stake, but its probability is only 2.70% on a European wheel. This roulette payout calculator covers standard straight, split, street, corner, six-line, dozen, column, and even-money bets. It reports the profit on a winning spin, total returned after a win, win probability, and mathematical house edge. A losing spin returns none of the stake under the standard rules modeled here.
Quick answer
Every roulette bet pays a fixed ratio: 35 to 1 for a single number down to 1 to 1 for red or black.
Payout
350 won (360 returned)
Win probability
2.7%
House edge
2.7%
What this tells you
- •Every roulette bet pays a fixed ratio: 35 to 1 for a single number down to 1 to 1 for red or black.
- •Win probability is the numbers you cover divided by the pockets on the wheel, 37 in European, 38 in American.
- •Payouts are set as if the wheel had only 36 pockets. The extra zero (or two) is the house edge.
- •Every bet on a European wheel carries the same 2.7% edge, and 5.26% on an American wheel.
- •Winnings means profit only, while total return adds the original stake after a win.
- •Win probability depends on numbers covered and whether the wheel has 37 or 38 pockets.
- •The calculation describes one standard bet and does not predict the next spin.
- •House edge is a long-run expected loss percentage, not the amount every player loses in a session.
How to Use
- 1Enter a positive stake using the same currency unit you want in the result.
- 2Choose the standard bet type and confirm that it matches the table layout and numbers covered.
- 3Choose European for one zero or American for zero and double zero.
- 4Calculate and distinguish profit from total return including the stake.
- 5Read probability and house edge as mathematical averages, not a forecast for a short session.
- 6Set a spending limit before gambling, never chase losses, and stop if play is causing harm.
How It Works
Formula
winnings = bet x payout ratio, probability = numbers covered / pocketsProfit on a win equals stake times the listed to-1 payout. Total return adds the stake. Probability is covered pockets divided by 37 for European or 38 for American. For a $10 European straight bet, profit is 10 x 35 = $350 and total return is $360. Probability is 1 / 37 x 100 = 2.70%. Expected profit per dollar is probability x payout profit minus loss probability x the stake. The negative of that expectation is the house edge, 2.70% for these standard European bets and 5.26% for standard American bets.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
$10 straight up, European wheel
35 to 1 on $10, plus the original stake back.
$50 on red, American wheel
18 red pockets out of 38. The two green zeros are why it is below 50%.
$20 corner bet, European wheel
Four numbers at 8 to 1, hitting 4 of 37 pockets.
$10 split bet, European wheel
A split covers two numbers and pays 17 to 1. A winning $10 stake earns $170 profit, and adding the stake gives $180 returned.
$15 street bet, American wheel
A street covers 3 of 38 pockets and pays 11 to 1. Profit is $165 and the total return is $180 after adding the $15 stake.
$25 six-line bet, European wheel
A six-line bet covers 6 of 37 pockets and pays 5 to 1. The $125 profit plus the original $25 gives $150 returned on a win.
$100 dozen bet, American wheel
A dozen covers 12 of 38 American pockets and pays 2 to 1. A win produces $200 profit and returns $300 including the stake.
Theo's $40 column bet on each wheel
Theo puts $40 on the middle column and runs it on both wheels. The payout is identical, 2 to 1, so a win returns $80 profit plus his $40 stake either way. What changes is the chance: 12 of 37 pockets on the single-zero wheel is 32.43%, and 12 of 38 on the double-zero wheel is 31.58%. The expected loss per spin follows from the edge: $40 x 2.70% is about $1.08 on the European wheel and $40 x 5.26% is about $2.10 on the American one. Over 100 identical spins that is roughly $108 against $210 in expected losses, with the usual caveat that any single session can land far from either number.
Roulette payout chart with true odds and house edge
Every standard bet the calculator models, with its payout, the numbers covered, the true odds against winning, the win probability, and the house edge on a single-zero (EU) and a double-zero (US) wheel.
| Bet | Pays | Numbers | True odds against (EU / US) | Win chance (EU / US) | House edge (EU / US) |
|---|---|---|---|---|---|
| Straight | 35 to 1 | 1 | 36 to 1 / 37 to 1 | 2.70% / 2.63% | 2.70% / 5.26% |
| Split | 17 to 1 | 2 | 17.5 to 1 / 18 to 1 | 5.41% / 5.26% | 2.70% / 5.26% |
| Street | 11 to 1 | 3 | 11.33 to 1 / 11.67 to 1 | 8.11% / 7.89% | 2.70% / 5.26% |
| Corner | 8 to 1 | 4 | 8.25 to 1 / 8.5 to 1 | 10.81% / 10.53% | 2.70% / 5.26% |
| Six line | 5 to 1 | 6 | 5.17 to 1 / 5.33 to 1 | 16.22% / 15.79% | 2.70% / 5.26% |
| Dozen | 2 to 1 | 12 | 2.08 to 1 / 2.17 to 1 | 32.43% / 31.58% | 2.70% / 5.26% |
| Column | 2 to 1 | 12 | 2.08 to 1 / 2.17 to 1 | 32.43% / 31.58% | 2.70% / 5.26% |
| Red / black, odd / even, high / low | 1 to 1 | 18 | 1.06 to 1 / 1.11 to 1 | 48.65% / 47.37% | 2.70% / 5.26% |
Win chance and house edge computed with the formula above: probability = numbers covered / pockets (37 or 38), and house edge = -(p x payout - (1 - p)) x 100. True odds against = (pockets - numbers covered) to numbers covered. The payout ratios are the standard schedule that New Jersey writes into N.J.A.C. 13:69F-5.2 as the minimum a licensed casino may pay. The American five-number basket (0, 00, 1, 2, 3, pays 6 to 1, 7.89% edge) is not modeled.
Payout size does not remove the house edge
Inside bets win less often and pay more when they hit. Outside bets win more often and pay less. For the standard bets listed here, those differences change volatility but not the wheel's underlying expected loss percentage.
A house edge of 2.70% does not mean every $100 session loses exactly $2.70. Short results can range from large wins to losing the entire stake. The percentage describes the average across a very large number of identical wagers.
Staking systems cannot change pocket probabilities or payout ratios. Increasing a bet after a loss can raise the amount at risk and may encounter table limits or a limited bankroll before a recovery occurs.
The house edge is the expected value of a one-unit bet with the sign flipped. For a straight bet on a single-zero wheel: (1 / 37) x 35 - (36 / 37) x 1 = -1 / 37 = -2.70%. Do the same for red: (18 / 37) x 1 - (19 / 37) x 1 = -1 / 37 again. Every standard bet lands on -1 / 37 because each payout is set as if the wheel had 36 pockets, and the zero is the house's share. On a double-zero wheel the same arithmetic gives -2 / 38 = -5.26%. The one outlier in American roulette is the five-number basket on 0, 00, 1, 2, 3, which pays 6 to 1 and works out to -3 / 38 = -7.89%, the worst standard bet on the layout, which is why this calculator leaves it out.
Payout schedules are regulated, not chosen table by table. New Jersey lists the minimum payout odds for every roulette wager in N.J.A.C. 13:69F-5.2 (35 to 1 straight, 17 to 1 split, 11 to 1 three numbers, 8 to 1 four numbers, 6 to 1 first five, 5 to 1 six numbers, 2 to 1 column and dozen, 1 to 1 even-money) and lets a casino offering double-zero roulette choose whether even-money bets lose the whole stake or half of it when the ball lands on 0 or 00. Nevada Gaming Commission Regulation 14 requires any new game or game variation to be submitted with its rules of play, proposed schedule of payouts, and a statistical evaluation of the theoretical percentages before a licensee can offer it. The practical upshot is that the odds printed on a licensed table are the odds, and a payout card that differs from the schedule above means a variant rule, not a mistake you can exploit.
Table rules that return part of a losing even-money bet change the edge, and only for those bets. La partage gives back half the stake when zero hits, so the expected value on red becomes -0.5 / 37 = -1.35% on a single-zero wheel. En prison holds the stake for one more spin and ends up close to the same figure. Neither helps an inside bet. This calculator models the plain rule where a zero loses the whole stake, which matches N.J.A.C. 13:69F-5.2(c) for single-zero wheels and the full-loss option for double-zero wheels, so a table with la partage will show a lower even-money edge than the 2.70% reported here.
Common mistakes
- Reading 35 to 1 as the odds of winning. It is the payout ratio. The actual odds are 36 to 1 against on a European wheel.
- Thinking red/black is a 50/50 bet. The zero pockets make it 48.65% at best, which is the whole house edge in one number.
- Choosing bets by house edge. On a given wheel every standard bet carries the same edge, so bet choice only changes volatility, not expectation.
- Playing American when European is available. The double zero nearly doubles the house edge on identical payouts.
- Calling total return the profit. Total return includes the stake that was already yours before the spin.
- Assuming recent colors or numbers change the probability of an independent next spin.
- Using a progression system without accounting for rapidly growing stakes, table limits, and loss risk.
- Gambling with borrowed money or money needed for bills because a payout is treated as likely income.
Limitations
The calculator models one standard wager settled at the listed payout. The payout ratios follow the standard schedule that N.J.A.C. 13:69F-5.2 sets as a minimum for New Jersey casinos, and the house edge is the negative expected value per unit staked under those ratios with a zero losing the whole stake. It excludes the American five-number basket (7.89% edge), surrender, en prison, la partage (about 1.35% on even-money bets on a single-zero wheel), neighbor bets, announced bets, special table rules, side bets, bonuses, commissions, taxes, currency conversion, and operator errors. It assumes a fair physical or random-number wheel with 37 European or 38 American pockets. Actual table rules control settlement. Probability and house edge do not predict a session, guarantee a loss amount, or create a safe staking strategy. Legal age, access, and gambling rules vary by jurisdiction.
Embed this calculator on your site
Paste this code where you want the calculator to appear. It is responsive, mobile-friendly, resizes automatically, and is free to use as long as the credit line stays in place.
<script src="https://calctide.com/embed.js" data-tool="roulette-payout-calculator" async></script>
<p style="font-size:12px;margin:4px 0 0">Roulette Payout Calculator by <a href="https://calctide.com/education-math/roulette-payout-calculator/">CalcTide</a></p>Preview the embed at /embed/roulette-payout-calculator/.