The short answer
In standard American Roulette, the house edge is 5.26% on almost every bet, meaning the casino expects to keep $5.26 for every $100 you wager. Your probability of winning ranges from 2.63% on a single number to 47.37% on even-money bets like Red or Black.
The full calculation
To calculate the house edge, we find the Expected Value ($EV$). On an American wheel with 38 pockets (1–36, 0, and 00), the formula for a $1 straight-up bet is:
$$EV = (P_{win} imes ext{Profit}) - (P_{loss} imes ext{Stake})$$
Substitution:
- $P_{win} = 1/38$
- Profit = $35
- $P_{loss} = 37/38$
- Stake = $1
$$EV = ( rac{1}{38} imes 35) - ( rac{37}{38} imes 1)$$ $$EV = rac{35}{38} - rac{37}{38} = - rac{2}{38} pprox -0.0526$$
The result is a 5.26% edge for the house.
What this means at the table
If you sit at a $25 minimum table and play roughly 60 spins per hour, you are “putting into the air” $1,500 every hour. At a 5.26% house edge, your theoretical hourly loss is $78.90. Over a four-hour session, the math suggests you’ll walk away down roughly $315, regardless of which specific numbers you chase.
Common mistakes around this number
- The Gambler’s Fallacy: Thinking a “Red” is due because “Black” hit five times in a row. The wheel has no memory; the odds are 47.37% every single spin.
- Ignoring Wheel Types: Playing an American wheel (5.26% edge) when a European wheel (2.70% edge) is available in the same room. You are voluntarily doubling your cost of play.
- System Overconfidence: Believing that betting “sectors” or using a Martingale system changes the 5.26% floor. It doesn’t; it only changes the volatility of how you lose that money.
See also
For related reading, see Roulette Payouts, Roulette Single Number Bet Odds, and Roulette Red or Black Odds.
In Detail
A roulette odds chart is not just a reference table. It is a lie detector. Every bet can be dressed up with fancy names, but the chart strips it down to coverage, payout, probability, and cost.
The number that matters
Roulette Odds Chart belongs to the math room of roulette. That does not mean it must be dry. It means the page is trying to separate what the player feels from what the wheel is charging. Roulette has simple outcomes, which makes the numbers brutally clean.
Roulette is priced with a simple expected-value idea:
$$EV = (P(win) \times Net\ Win) - (P(loss) \times Stake)$$
For a standard one-unit bet, the house edge is the negative side of that value:
$$House\ Edge = -EV_{player}$$
The important trick is that roulette payouts are based as if the zero did not hurt the player as much as it really does. A European wheel has 37 pockets: 18 red, 18 black, and one zero. An American wheel has 38 pockets: 18 red, 18 black, one zero, and one double zero. The extra losing pocket is not decoration. It is the price tag.
For session cost, use total action, not buy-in:
$$Expected\ Loss = Total\ Amount\ Wagered \times House\ Edge$$
If a player bets 25 units per spin for 80 spins, that is 2,000 units of action. On a 2.70% European edge, the theoretical cost is 54 units. On a 5.26% American edge, the theoretical cost is about 105.20 units. Same player, same bets, same excitement, very different bill.
Subject-specific point
A good odds chart should show four things: numbers covered, hit probability, payout, and house edge. Without all four, the player sees only half the story. Hit frequency alone can make a bet look safe. Payout alone can make a bet look exciting. House edge tells you the price.
Why the same edge can feel different
A one-number bet and an even-money bet can live on the same wheel and carry the same standard house edge, yet they feel nothing alike. One creates long dry spells and occasional fireworks. The other creates frequent decisions and smaller swings. The player experiences them differently because variance changes the ride.
That is why roulette is sneaky. A player may choose a bet because it feels safer, not because it is mathematically cheaper. On the same wheel, the price may be almost identical. The difference is how the losses and wins are delivered.
The casino view
Casinos do not need to predict which number will land. They need the game to run, the payouts to be correct, and the edge to be positive. The more total action the table handles, the more the theoretical win stabilizes over time.
This is why pace matters. A player who makes the same bet at a faster game is not playing the “same” session financially. More spins per hour means more total action. More total action means more exposure to the edge.
The bottom line
Roulette Odds Chart is useful because it gives the player a ruler. Once you can measure the bet, the wheel, and the pace, the romance has to answer to arithmetic. You can still enjoy the game. You just stop pretending the game forgot to charge you.
The clean way to use this information is not to chase the wheel harder. It is to choose the better version of the game, size bets honestly, and stop treating a lucky spin as proof of a system. Roulette can be fun, loud, elegant, and cruel in the same hour. Respect the math, and the game becomes entertainment instead of a trap dressed as a pattern.