The House Edge on Every American Roulette Bet

The House Edge on Every American Roulette Bet

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American roulette's extra zero pocket changes the odds on every bet on the layout. Here is how the edge is built into each wager and why the percentage stays the same no matter what you bet on.

The extra pocket is the whole story

An American roulette wheel carries 38 pockets: the numbers 1 through 36, a single zero, and a double zero. A European wheel has 37. That one additional green pocket on the American layout is not a cosmetic difference. It is the reason every wager on an American table carries a larger built-in disadvantage than the same wager on a single-zero wheel, and it is the starting point for understanding any percentage attached to any bet.

The percentages people quote for roulette are not separate odds for each kind of bet. They are expressions of one relationship: the payout a bet offers versus the true odds of that bet winning. Because the wheel pays as if the zero pockets did not exist, the house keeps a mathematical advantage on every wager. The size of that advantage is a function of the wheel's pocket count and the payout schedule, not of which numbers you choose.

How a roulette percentage is calculated

Every roulette bet is a wager that a ball will land in one of a set of pockets. The payout for a winning bet is expressed as a ratio, and that ratio is always slightly short of what a fair game would pay. A fair game would pay exactly the inverse of the probability of winning. Roulette pays less.

Take a single-number bet as an example. The ball can land in any of 38 pockets, so the probability of hitting one specific number is 1 in 38. A fair payout would be 37 to 1: you receive your stake back plus 37 times your stake. American roulette pays 35 to 1. The gap between those two numbers is where the house edge lives.

The same logic applies to every other bet on the layout. A two-number split covers 2 pockets out of 38, so the true odds against winning are 36 to 2, which reduces to 18 to 1. The table pays 17 to 1. A four-number corner covers 4 pockets, true odds of 34 to 4, or 8.5 to 1, and the table pays 8 to 1. The shortfall is consistent because the wheel has two pockets that no bet on the main layout covers.

What the percentage means in money terms

The house edge is the average share of each wager the operator expects to retain over a very large number of spins. It is not a fee collected on every spin, and it is not a prediction of what any single session will produce. It is a long-run statistical average.

Suppose a player wagers 1,000 units in total across an evening, one unit at a time, on any bet on an American wheel. The edge does not mean the player will lose a fixed amount that evening. It means that if the same pattern of play were repeated across an enormous number of spins, the average loss would settle toward a small fraction of total coin-in. The exact fraction is the same for every bet on the layout because every bet is shorted by the same two zero pockets.

What changes between bets is not the edge but the rhythm of outcomes. A single-number bet wins rarely and pays a large multiple when it does. An even-money bet such as red or black wins close to half the time and pays one unit. Both carry the same long-run disadvantage on an American wheel because both are settled against the same 38-pocket wheel with the same payout shortfall.

Comparing the main bet types

The table below sets out the pocket coverage, true odds, and table payout for the standard American roulette wagers. The pattern is the same across every row: the payout is always one notch short of the true odds, and the shortfall traces directly to the two zero pockets.

BetPockets coveredTrue odds againstTable payout
Straight up (single number)137 to 135 to 1
Split (two numbers)218 to 117 to 1
Street (three numbers)311.67 to 111 to 1
Corner (four numbers)48.5 to 18 to 1
Five-number (0, 00, 1, 2, 3)56.6 to 16 to 1
Six-line (six numbers)65.33 to 15 to 1
Dozen or column (twelve numbers)122.17 to 12 to 1
Red, black, odd, even, high, low181.11 to 11 to 1

The five-number bet deserves a separate note. It is the only wager on the American layout that covers the 0, 00, 1, 2 and 3 together, and its payout of 6 to 1 is short by a wider margin than any other standard bet. The reason is structural: it covers five pockets but is paid as if the true odds were 7 to 1, which they are not against a 38-pocket wheel. Players who want the smallest possible disadvantage on an American table avoid this one wager, because every other bet on the layout carries a smaller built-in edge.

RTP and house edge are two sides of one number

Return to Player, usually shortened to RTP, is the complement of the house edge. For the same bet under the same rule set, the two figures sum to 100%. If a game returns a given percentage to players over the long run, the operator retains the remainder. They are not separate facts about a game; they are the same fact stated from two directions.

This relationship holds only when the comparison is apples to apples. A single-number bet and an even-money bet on the same American wheel share the same edge, so they also share the same theoretical RTP. But a figure quoted for one wheel type does not transfer to the other. A single-zero wheel has one fewer pocket, so every bet on it carries a smaller edge and a correspondingly higher RTP. Anyone comparing percentages across games must first confirm which wheel the figure describes.

Why short sessions look nothing like the percentage

A percentage is a statement about a very large number of independent spins. A single evening contains a small number of spins, and small samples produce wild variation. A player can sit down, bet red ten times, and win eight of them. That outcome does not contradict the house edge. It is what variance looks like in a small sample.

Variance describes how outcomes are distributed around the long-run average. High-variance bets, such as a straight-up number, produce long losing stretches interrupted by occasional large payouts. Low-variance bets, such as red or black, produce frequent small wins and frequent small losses. Neither variance level changes the edge. It changes only the shape of the ride.

This is why a percentage can feel abstract at the table. The edge operates on total coin-in across thousands of spins, not on any individual wager. A player who wagers one unit per spin for an hour will place far fewer bets than a player who wagers one unit per spin for six hours, and the total exposure differs accordingly. The percentage applies to the total, not to the session.

Decisions per hour and total exposure

Roulette is a game of fixed pace. The wheel spins, the ball lands, the croupier clears the layout, and the next round begins. A player does not control the number of spins per hour the way a blackjack player controls hands per hour by decision speed, but the number of spins still matters enormously.

Suppose a player wagers one unit on red for 50 spins. Total coin-in is 50 units. Suppose the same player wagers one unit on red for 300 spins. Total coin-in is 300 units. The edge applies to coin-in, so the expected long-run loss scales with the number of spins. The percentage does not change. The amount it acts upon does.

This is the practical meaning of a percentage at a roulette table. The edge is a rate, and the rate is fixed by the wheel. What the player controls is the amount of money pushed through that rate: the stake per spin, the number of spins, and the length of the session. Lowering any of those lowers total exposure. It does not lower the edge.

What progression systems do and do not do

A progression system is a rule for changing stake size after wins or losses. The most famous is the martingale: double the stake after every loss, return to the base stake after a win. The idea is that a win eventually recovers all prior losses plus one unit. The arithmetic works on paper until it meets the table.

The problem is not that the system fails to produce the occasional winning session. It is that the system redistributes outcomes rather than changing them. A martingale player wins small amounts most of the time and loses a very large amount occasionally. The large loss arrives when a losing streak runs into the table maximum or the player's available funds. The expected loss across all sessions is unchanged, because the edge is applied to every unit wagered regardless of how the stake size was chosen.

No progression system changes the pocket count on the wheel. No progression system changes the payout schedule. No progression system changes the edge. What changes is the variance: the player trades frequent small wins for rare large losses. The long-run average is the same, and the house edge is the same on every spin, whether the stake is one unit or one hundred.

Where to find the percentage for a specific table

An American roulette wheel's edge is a property of the wheel and the payout schedule, not of the operator. The percentage for any standard bet can be derived from the pocket count and the payout table, as above. What varies between venues is not the edge but the table rules that surround it: minimum and maximum stakes, the availability of surrender rules on even-money bets at some tables, and the pace of play.

For a specific table, the operator's posted rules and the layout itself carry the relevant details. The payout schedule is printed on the layout next to each bet. The table minimum and maximum are displayed on a placard at the table. Anyone who wants to confirm the percentage for a particular wager can read those two sources and apply the arithmetic above. No external source is required, because the wheel's mathematics are fixed by its design.

FAQ

Is the house edge different for inside and outside bets on American roulette?

No. Inside bets such as straights and splits, and outside bets such as red or black and dozens, all carry the same edge on an American wheel. The five-number bet is the exception, with a larger edge than every other standard wager. What differs between inside and outside bets is variance and payout size, not the long-run percentage.

Does betting on both red and black at the same time reduce the percentage?

No. Covering both red and black means every spin that lands on a red or black number returns the combined stake with no profit, while every spin that lands on a zero or double zero loses both stakes. The two zero pockets remain uncovered, so the edge is unchanged. The bet simply converts the game into a slow bleed with occasional total losses on green.

Why does the five-number bet have a worse percentage than everything else?

The five-number bet covers 0, 00, 1, 2 and 3, and pays 6 to 1. Against a 38-pocket wheel, the true odds against winning are 6.6 to 1, so the payout is short by a wider margin than any other standard bet. It is the only wager on the American layout whose payout schedule is out of step with the rest of the table, and it should be understood as the most expensive bet on the felt.

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