The Table Already Contains the Answer
Most payout questions about roulette are settled before you place a chip. The felt layout lists each bet and its winning multiple, and the croupier pays according to that fixed schedule. Calculating a payout yourself is a way of checking the schedule, not a separate skill you need before playing.
A payout is the amount returned on top of your original stake. If a bet pays 35 to 1 and you wager one unit, a win returns your one unit plus 35 more. The phrase "to 1" means the number of units won per unit staked. The original bet is returned separately.
The payout schedule is built from the wheel's geometry. A European wheel has 37 pockets numbered 0 through 36, and an American wheel has 38 because it adds a double zero. The payout for a bet is set so that the house keeps a small mathematical edge, not by rounding down a fair price but by paying slightly less than the true odds of the event.
How a Payout Multiplier Is Derived
Every roulette bet is defined by how many pockets it covers. A straight-up bet covers one pocket. A split covers two. A street covers three. The payout multiplier is tied to that coverage, but it is not a simple inversion of the number of pockets.
If a bet covers N pockets on a wheel with 37 pockets, the true odds against winning are (37 minus N) to N. A straight-up bet on one pocket has true odds of 36 to 1 against winning. The payout, however, is 35 to 1. The one-unit difference between true odds and payout is the house edge on that bet.
For a two-number split on the same wheel, true odds are 35 to 2, which simplifies to 17.5 to 1. The payout is 17 to 1. The house keeps the half-unit difference as its edge. Each bet type has its own payout schedule, and the gap between true odds and payout is what gives the operator a mathematical advantage on every spin.
Reading the Main Bet Types
Roulette bets fall into two groups: inside bets on specific numbers or small groups, and outside bets on larger categories such as colour, parity, or ranges. Each carries a different payout multiple and a different probability of winning. The table below shows the standard European-wheel payouts and the number of pockets each bet covers.
| Bet | Pockets covered | Payout |
|---|---|---|
| Straight up | 1 | 35 to 1 |
| Split | 2 | 17 to 1 |
| Street | 3 | 11 to 1 |
| Corner | 4 | 8 to 1 |
| Six line | 6 | 5 to 1 |
| Dozen or column | 12 | 2 to 1 |
| Red, black, odd, even, low, high | 18 | 1 to 1 |
On an American wheel the same payouts apply, but the extra double-zero pocket changes the true odds for every bet. A straight-up bet still pays 35 to 1 while the wheel now has 38 pockets, so the gap between true odds and payout is wider on that layout. The payout schedule does not change; the probability of winning does.
Converting a Payout into Expected Value
A payout multiple only tells you what happens when you win. Expected value combines the chance of winning with the chance of losing, and it is the way to see the house edge in action.
Suppose you place one unit on a straight-up number on a European wheel. There is 1 winning pocket and 36 losing pockets. The expected value of the bet is (1 divided by 37) times the 35-unit win, plus (36 divided by 37) times the 1-unit loss. The result is a small negative number for every unit wagered. That negative expectation is the house edge, expressed as a fraction of the stake.
The same arithmetic works for any bet. A red bet covers 18 pockets and pays 1 to 1. The expected value is (18 divided by 37) times 1, plus (19 divided by 37) times minus 1. The losing side includes the zero pocket, which is neither red nor black on a European wheel. That is where the edge lives: the zero is a losing pocket for all even-money outside bets.
RTP and house edge are complements for the same bet under the same rule set. If a bet has a house edge of one small fraction, its RTP is the remainder when that fraction is subtracted from 100%. The payout schedule and the wheel's pocket count determine both numbers together.
Why Short Sessions Look Nothing Like the Long Run
The expected value of a roulette bet is a long-run average over an enormous number of spins. A single session of thirty or fifty spins is far too small a sample for the average to show itself. In the short run, variance dominates.
Variance is the spread of possible outcomes around the average. A straight-up bet has high variance: most spins lose the single unit, and a rare spin returns 35 units. A red bet has lower variance: wins and losses come in roughly similar numbers, and the payout is only even money. Both bets carry a house edge, but they distribute their outcomes very differently.
This is why a player can leave a session ahead while the house still holds a mathematical edge. The edge is earned over millions of spins, not in any one sitting. A winning session does not mean the edge disappeared, and a losing session does not mean the wheel is rigged. Both are ordinary samples from a distribution with a negative mean.
Decisions Per Hour and Total Exposure
Roulette's house edge is applied to each wager, not to your bankroll as a lump sum. The more decisions you make, the more times the edge is applied. Total expected loss is the product of three things: the amount wagered per spin, the house edge on the specific bet, and the number of spins played.
Suppose a player wagers one unit per spin on a bet with a small house edge. Over 100 spins, the total amount wagered is 100 units, and the expected loss is the edge multiplied by 100. If the same player wagers five units per spin, the expected loss is five times larger for the same number of spins. The edge itself does not change; the exposure does.
Game speed matters for the same reason. A full table with many players moves slower than an empty table or an automated wheel. The number of spins per hour changes the total amount wagered, which changes the expected loss for the session. None of this alters the edge per spin, but it determines how many times that edge is collected.
Why Progression Systems Redistribute Outcomes
A progression system is a rule for changing your stake after wins or losses. The most familiar is doubling after a loss, often called a martingale. The idea is that a win eventually recovers all previous losses plus one unit. The arithmetic works until it does not.
The problem is that the wheel does not remember previous spins. A losing streak of five, six, or seven spins is not rare over a long session, and the required stake grows quickly. Suppose a player starts with one unit and doubles after each loss. After five losses the next stake is 32 units. After seven losses it is 128 units. Table limits cap how far the progression can go, and the player's bankroll caps it sooner.
Progression systems do not change the house edge on any individual bet. They change the distribution of outcomes: many small wins and occasional large losses. The expected value of the whole progression is the sum of the expected values of its parts, and each part is negative. The system redistributes when the losses arrive; it does not remove them.
No betting pattern alters the built-in edge of a negative-expectation game. The payout schedule, the wheel's pocket count, and the table limits are fixed. A player can choose which bets to make and how much to stake, but the edge remains on every wager.
FAQ
How do I calculate a roulette payout for a split bet?
A split bet covers two adjacent numbers and pays 17 to 1. Multiply your stake by 17 to find the winning profit, then add your original stake back. The payout schedule is printed on the table layout, so you can check the multiple before you bet.
Does the payout change on an American wheel?
The payout multiples are the same on American and European wheels. What changes is the probability of winning, because the American wheel has an extra double-zero pocket. The same payout with worse true odds means a larger house edge on the American layout.
Why does a straight-up bet pay 35 to 1 instead of 36 to 1?
Thirty-six to one would be the fair payout for a single number on a 37-pocket wheel, since there are 36 losing pockets. The payout is set one unit lower, at 35 to 1, and that one-unit gap is the house edge on the bet. The operator keeps that difference over the long run.
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This article is general information about how these mechanics work. It is not legal advice and not a recommendation to gamble or to use any particular operator. Availability and legality differ by jurisdiction — check the rules that apply where you are.