Odds, Probability & Bankroll
Casino roulette payouts
The fixed amounts a casino pays on winning roulette bets, expressed as odds such as 35 to 1 for a straight-up bet.
Key points
- Payouts are set below true odds, giving the casino a built-in advantage.12
- The general payout formula is 36/p, where p is the number of winning numbers covered by the bet.1
- Expected value of a $1 straight-up bet is about −$0.053 in American roulette and −$0.027 in European roulette.1
Where this term is used
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Sources
- Roulette en.wikipedia.org Provides the standard payout figures, probability, expected value, and the general payout rule.
- Roulette Basics – Rules, Bets, and Game Variations ... wizardofodds.com Supplies the house edge percentages for American and European roulette.
- Microgaming Casinos for 2026 (Software & Best 9 Reviewed) wizardofodds.com Confirms the house edge on the 0-00-1-2-3 bet and standard European roulette.
Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.