DoubleZero Roulette: Understanding Odds and House Edge
This article explains how Double-Zero (American) roulette works, shows the true probabilities of common bets, calculates…
Table of Contents
How Double-Zero Roulette Differs from Single-Zero Variants
Double-zero roulette (commonly called American roulette) uses a wheel with 38 pockets: numbers 1–36 plus 0 and 00. The presence of both 0 and 00 increases the total outcomes compared with single-zero (European) roulette, which has 37 pockets (1–36 plus a single 0). That extra pocket changes the true probability of winning any bet and therefore increases the casino’s built-in advantage. Payouts in an American wheel are the same nominal values as in other roulette variants (for example, a straight-up number pays 35 to 1), but because the probability of hitting a specific number is 1/38 rather than 1/37 or 1/36, the expected return to the player is lower.
The additional 00 pocket also affects all bet categories: inside bets (single numbers, splits, streets, corners) and outside bets (red/black, odd/even, dozens, columns). Many players notice the similarity in payouts and feel the house edge should be small, but the arithmetic of probability reveals otherwise. Practically, this means a player at an American wheel will lose money, on average, faster than a player at a European wheel if wagers and time played are comparable. Casinos may choose American wheels for historical or marketing reasons, particularly in North American venues, but from a mathematical standpoint double-zero wheels are strictly worse for players. Knowing which wheel you are playing on is the first and simplest way to reduce avoidable losses.
Bet Types and Their True Probabilities
Roulette wagers are commonly grouped into inside and outside bets, and each type has a specific number of winning pockets that determines its probability. For a 38-pocket double-zero wheel: a straight-up (single number) has probability 1/38, a split (two adjacent numbers) has probability 2/38, a street (three numbers) 3/38, a corner (four numbers) 4/38, and a six-line (six numbers) 6/38. Outside bets cover larger sets: red or black and odd or even each have 18 winning pockets out of 38 (18/38), and dozens or columns cover 12 numbers (12/38). These raw probabilities are the basis for calculating expected returns.
Payouts, however, are less generous than true odds. For example, the straight-up payout is 35:1, but the true odds are 37:1 against (you face 37 losing outcomes for each winning one), so the payout understates the true risk. For a split, payout is 17:1 vs true odds 18:1, and so on. The mismatch between payout ratios and true odds is what creates the house edge. It’s important to recognize that the house edge in American roulette is uniform across most bets: whether you place a single-number bet or an even-money bet, the expected loss percentage is the same (ignoring special house rules). Some exceptions exist in certain casinos that offer unusual side bets or promotions, but the standard wheel and standard payout table yield the same proportional disadvantage.
Understanding these probabilities also helps when evaluating volatility. Straight-up bets have low probability but high payout—high variance. Even-money bets win more often but pay less, producing lower variance. Which style of bet suits a player depends on risk tolerance and bankroll size, but neither changes the long-run negative expectation created by the house edge.

Calculating the House Edge and Expected Value
House edge is the average percentage of each wager that the casino expects to keep from repeated play. For American roulette, the calculation is straightforward using expected value (EV). Consider a $1 straight-up bet with probability p = 1/38 of winning a 35:1 payout (you receive $35 profit plus your $1 stake in many venues). The expected value per $1 bet is EV = (1/38) * 35 + (37/38) * (-1) = (35 - 37) / 38 = -2/38 ≈ -0.052631, or -5.2631%. That means on average you lose about 5.263 cents per dollar wagered in the long run. The same result appears for even-money bets: EV = (18/38) * 1 + (20/38) * (-1) = (18 - 20) / 38 = -2/38, again -5.2631%.
The house edge can also be framed as (payout_odds - true_odds) relative to stake or simply as the ratio of the expected loss to the initial bet. In European single-zero roulette, the analogous calculation yields -1/37 ≈ -2.7027%, so a European wheel offers substantially better expected returns to players. Some casinos or jurisdictions apply special rules (e.g., "en prison" or "la partage") on even-money bets that effectively halve the house edge for those bets; such rules are almost never applied on double-zero wheels in North America but can appear in other markets or in specific promotions.
Expected value scales with bet size: whether you wager $1 or $100, the percentage expected loss remains the same. Variance and short-term luck can make actual outcomes differ widely from expected value, but over many spins the average loss will converge toward the house edge. This mathematical inevitability is why bankroll management and time limits are crucial if you want to limit loss exposure.
Strategies, Myths, and Responsible Play
Many roulette strategies promise a way to beat the house, but mathematically none can overcome the fixed negative expected value in the long run. Betting systems like Martingale (doubling after a loss in hopes of recovering losses plus one-unit profit) exploit short-term probability but are doomed by finite bankrolls and table limits. A Martingale sequence can deliver many small wins, but a single losing streak that hits the table limit or exhausts funds results in a catastrophic loss that overwhelms prior gains. Expected value of any fair-replicable strategy built on standard bets remains the same negative EV per spin when applied to American roulette.
Other approaches like pattern-spotting or wheel-bias hunting rely either on misperceptions (the wheel has no memory; past spins don’t affect future ones) or rare physical imperfections that are not a reliable advantage for casual players. Professional advantage play based on biased wheels exists historically but requires long-term observation, specialized knowledge, and is infeasible in modern, well-maintained casinos.
Responsible play means understanding the house edge, setting strict limits on time and money spent, treating roulette as entertainment, and choosing lower-edge variants when available (e.g., European single-zero, or roulette games with la partage/en prison rules). Lowering bet sizes and accepting lower volatility reduces the chance of large, rapid losses. Finally, avoid chasing losses or believing short streaks will "correct"; long-term expectation is unchanged and bankroll preservation is the only practical way to limit regret. Remember: strategy can manage variance but cannot change the underlying negative expectation of double-zero roulette.
