European single-zero wheel — house edge 2.7% (vs 5.26% American). Place chips on the felt, spin the wheel.
Total wagered: $0 · 0 bets
| Straight up (single number) | 35:1 |
| Dozens (1-12, 13-24, 25-36) | 2:1 |
| Red / Black, Odd / Even, 1-18 / 19-36 | 1:1 |
| Single zero wheel — green 0 loses all outside bets. House edge 2.7%. | |
Roulette is the cleanest math on the casino floor — every bet on a European single-zero wheel has the same expected return: -2.7% of your wager. Pick any number, any color, any column, any combination — the casino's edge is identical. American roulette adds a "00" pocket, which doubles the house edge to 5.26%. The takeaway: always play European or French roulette if you have a choice. Our wheel is European single-zero.
A European wheel has 37 numbered pockets: 0 plus 1 through 36. Half the non-zero numbers are red, half black, alternating in a non-obvious pattern around the wheel (the wheel sequence is NOT 1-2-3-4-5-6 — it's 0, 32, 15, 19, 4, 21, 2, 25, etc., designed so that consecutive numbers are on opposite sides of the wheel). Bets are placed on the felt: inside bets cover specific numbers or small groups (straight up, split, street, corner, line); outside bets cover wide groups (red/black, odd/even, high/low, columns, dozens). After bets close, the croupier spins the wheel and the ball — when it settles, all winning bets pay and all losing bets are collected.
There is no strategy that changes the expected value. Every betting system — Martingale (double after loss), Fibonacci, D'Alembert, Labouchere, "wait for five reds in a row then bet black" — runs into the same mathematical wall: each spin is independent, and the expected value of any bet is -2.7%. The Martingale fails because casinos have table maximums (typically 100-500x the minimum); after 7-9 consecutive losses you can't double again, and you've lost a six-figure chunk to recover a single-unit profit. Streaks happen — 26 consecutive blacks were recorded at Monte Carlo in 1913, costing Martingale players millions — but they don't change the per-spin math. The one defensible strategic choice is bet selection: pick whichever bet matches your risk tolerance (one number = 35:1, low variance but rare wins; red/black = 1:1, high hit rate but ties on zero). Don't fall for "biased wheel" claims; modern casino wheels are tested for mechanical fairness daily and any meaningful bias would be caught and corrected within hours.
The 2.7% house edge comes from the zero. On a fair 36-number wheel, a 1:1 red/black bet would pay 1.000 on average; on a 37-number wheel with one green zero, the player wins 18/37 of the time, meaning expected return per dollar is 18/37 × $2 = $0.973 — a 2.7% loss. The same math applies to every other bet shape: a straight-up number pays 35:1, but only hits 1/37 ≈ 2.7% of the time, giving 35/37 + 1/37 × 0 = 0.973. American roulette's 00 pocket changes 18/37 to 18/38, dropping expected return to 0.947 — a 5.26% house edge that ruins the game. There is a French rule called "en prison" or "la partage" that returns half your even-money bet when zero hits — this cuts the house edge on outside bets from 2.7% to 1.35%, making French roulette the second-best bet on any casino floor (after good blackjack).
Roulette emerged in 18th-century France, likely a hybrid of older spinning wheel games. The single-zero wheel was the original; the double-zero variant was introduced in 19th-century America to widen the casino's edge during the Gold Rush. Monte Carlo's casino popularized single-zero across Europe and made the game a luxury icon. The famous 26-blacks streak in 1913 inspired one of gambling's most persistent fallacies — the "gambler's fallacy" — the false belief that past results affect future independent events.
| Bet | Payout | Notes |
|---|---|---|
| Straight up (single number) | 35:1 | 1/37 hit rate |
| Split (2 numbers) | 17:1 | 2/37 hit rate |
| Corner (4 numbers) | 8:1 | 4/37 hit rate |
| Column / Dozen | 2:1 | 12/37 hit rate |
| Red / Black / Odd / Even / High / Low | 1:1 | 18/37 hit rate |
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