The math of roulette

Online and live roulette odds

A screen or a live dealer does not define the payout model. Check the pocket count, paytable and special rules before using standard roulette calculations.

Live, automated and digital formats

A game can stream a physical wheel or use a digital result generator. The standard probability calculation still needs the complete set of possible outcomes and their probabilities. Do not infer better odds from the presentation alone.

Multiplier games need separate calculations

Games with random multipliers or multiple balls have additional rules. Standard 35:1 number-bet arithmetic cannot describe every variant. The built-in calculator intentionally excludes those games rather than applying a misleading average.

Fairness and house edge are different

A game can distribute outcomes fairly while retaining a house edge through its payout table. A “provably fair” mechanism concerns verifiability of results; it does not imply positive expected value. Check the implementation and full game rules.

Availability is location-specific

This site does not list recommended operators, accept deposits or offer real-money roulette. Game availability and access depend on the provider and jurisdiction. Calculations do not establish that a service is available where you are.

Check these rules before you calculate

  • Pocket count: 37 for single zero, 38 for double zero or 39 for triple zero.
  • Paytable: standard straight-up bets pay 35:1. Anything lower or higher changes the math.
  • Zero rule: whether La Partage or En Prison applies to even-money bets.
  • Multipliers or bonus pockets: these replace the standard payouts and need their own calculation.
  • Published RTP: many digital games state a return to player in the help screen.

If the game matches a standard wheel, the roulette odds calculator and the payout chart apply.

Electronic and machine roulette

Electronic tables, video roulette and fixed-odds betting terminals can use a physical wheel or a random number generator. The odds still depend only on the pocket count and paytable shown in the game rules. A machine with a standard single-zero paytable has the same 2.70% edge as a live single-zero table.