Calculate the probability and expected value for any roulette bet
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Key concepts at a glance
Roulette odds depend on the wheel type and bet. European (single zero): straight bet wins 1 in 37 (2.7%), pays 35:1. American (double zero): straight wins 1 in 38 (2.63%), pays 35:1. Even-money bets (red/black) win 48.6% (European) or 47.4% (American). For a $10 straight bet: expected win = $350, probability = 2.7%, EV = -$0.27 (European).
Essential knowledge
Common questions about roulette odds
On European roulette, each number has a 1/37 (2.70%) chance of hitting. On American roulette, it's 1/38 (2.63%). If you bet $10 on a single number and win, you get $350 plus your $10 back. Despite the 35:1 payout, the house edge makes this a negative expectation bet.
On European wheels, all bets have the same 2.70% house edge except when en prison/la partage rules apply (reducing it to 1.35% on even-money bets). On American wheels, avoid the five-number bet (0, 00, 1, 2, 3) which has a 7.89% house edge. Otherwise, all American bets have 5.26% edge.
European roulette is significantly better with 2.70% house edge vs 5.26% American. Over 1000 bets of $10, you expect to lose $27 on European vs $52.60 on American. Always choose European when available.
No betting system can overcome the house edge. Martingale, Fibonacci, Labouchere, etc. may show short-term wins but mathematically cannot beat the odds. They often increase variance and risk of large losses. The house edge applies to every bet regardless of previous results.
Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.
This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.
Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.
Responsible-gambling guidance and 1-800-GAMBLER helpline.

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