In this article, we will explain the Roulette house edge, how it differs depending on which Roulette game variant you're playing, and how the edge makes it impossible to beat the game in the long run.
What is Roulette house edge
All casino games, including Roulette, are made so the house will win in the long run. The term "house" refers to the casino. The term "edge" refers to the casino's mathematical advantage over you if you play. This advantage is present in all bets, but the specific percentage varies depending on the type of bet placed and the Roulette variant played.
Continue learning: All roulette bets explained
In simple terms: Roulette house edge refers to the mathematical difference between the true odds of an outcome occurring and the payouts offered by the casino for that outcome.
Roulette house edge is the difference between [the odds of you winning and what the casino pays for a specific type or group of bets].
European Roulette house edge
In European Roulette, the house edge is 2.70%. The European variant has a single-zero wheel, with 37 pockets, of which one pocket is for the Zero, and the 36 others are for the numbers 1-36, and payouts for hitting a single number is 35:1.
American Roulette house edge
In American Roulette, the house edge is 5.25%. The American variant has a double-zero wheel, with 38 pockets, of which two pockets are for the 0 and 00, and the 36 others are for the numbers 1-36, and payouts for hitting a single number is 35:1.
How to calculate house edge in Roulette
You can calculate the house edge for all bets in Roulette if you know the expectation of the bet placed. The expectation is a mathematical term that tells you your long-term expected losses or winnings of a bet.
Here's how you do it: Expectation = (Loss x Probability) + (Win x Probability)
**To proceed with the calculation, you'll need to answer two questions: **
- What is the probability of winning, and the amount of a win?
- What is the probability of losing, and the amount of a loss?
Example of calculating the house edge of a bet on Black in European Roulette
For example, we're placing a €10 bet on "black," which pays even money. If we win, we get our bet back + €10. If we lose, it's a €10 loss.
To calculate what edge the house has over us when we place this bet, we work out the total number of possible outcomes and then split these into the winning and the losing ones.
The European Roulette wheel has 37 pockets, 1-36 numbers, and one Zero (green). Eighteen of these pockets are black, and nineteen of these pockets are not.
- Win probability: 18/37 (black pockets)
- Loss probability: 19/37 (red pockets + green pocket)
Now that we know the probabilities for winning and losing, we set up another equation to calculate the house edge.
- (Loss x Probability) + (Win x Probability)
- (-€10 x 19/37) + (€10 x 18/37)
- (-€5.13) + (€4.86)
- Expectation = -€0.27
Our expected long-term losses from placing a bet on black or any other "even money" bets on the Roulette table is minus €0.27 per €10 wagered, and €0.27 of €10 is 2.70%, which is the house edge of European Roulette.
Keep exploring: The ultimate guide on how to play Roulette
Frequently Asked Questions about Roulette house edge
How does the house have an edge in Roulette?
The house has an edge in Roulette due to the single and double-zero pockets on the Roulette wheel.
Why does the house always win in Roulette?
The house is statistically likely to profit in the long run because the game is structured to give the casino a consistent mathematical advantage of at least 2.70%.
Is it possible to beat the house edge in Roulette?
In the long run, it is not possible to overcome the house edge in Roulette (or any other casino game) because the odds of the game are designed to favor the casino over time.
Can the house cheat at Roulette?
The house operates with a built-in mathematical advantage, and regulatory oversight helps ensure that Roulette games are conducted in a manner that is random and fair to both the casino and the players.
Do certain numbers hit more often in Roulette?
While some numbers may appear to come up more frequently in the short term, this is due to random variance, and over time, all numbers are equally likely to occur. Over time, all numbers, including the Zero-pockets, turn up just as frequently; 1/37 or 1/38.