Roulette Payout Calculator

Calculate potential winnings and odds for different roulette bets

About the Roulette Payout Calculator

The Roulette Payout Calculator is an essential tool for players looking to understand the relationship between risk and reward at the table. Whether you are playing American, European, or French variations, this calculator determines exactly how much a winning wager will return based on the bet type and the amount staked. It covers all standard inside bets, such as straight-up, split, street, corner, and line bets, as well as outside bets like dozens, columns, and even-money propositions.

Professional players and hobbyists use this tool to manage their bankroll and evaluate the mathematical probability of different betting systems. By entering your stake and selecting the specific pocket coverage, you can instantly see the difference between the 'true odds' of the event occurring and the 'payout odds' offered by the casino. This discrepancy represents the house edge, which varies depending on the number of zeros on the wheel. Understanding these figures helps players make more informed decisions about which sections of the felt offer the best value for their specific strategy.

Formula

In this formula, 'n' represents the quantity of individual numbers covered by your bet. For a single number (Straight Up), n is 1, resulting in a 35:1 payout. For a Column bet covering 12 numbers, n is 12, resulting in a 2:1 payout. The formula effectively calculates the 'fair' payout based on 36 numbers, which is why the house keeps the profit from the zero slots.

The total return to the player is the Potential Payout plus the original Bet Amount. The odds of winning are calculated as (n / Total Pockets) * 100, where Total Pockets is 37 for European wheels and 38 for American wheels.

Worked examples

1. Identify the number of pockets covered: n = 2.
2. Determine payout ratio: (36 / 2) - 1 = 17.
3. Calculate profit: $10 * 17 = $170.
4. Add stake: $170 + $10 = $180.

1. Identify the number of pockets covered: n = 12.
2. Determine payout ratio: (36 / 12) - 1 = 2.
3. Calculate profit: $50 * 2 = $100.
4. Total return: $100 + $50 = $150.

1. Identify numbers covered: n = 18.
2. Determine payout ratio: (36 / 18) - 1 = 1.
3. Calculate profit: $10 * 1 = $10.
4. Total return: $10 + $10 = $20.

Common use cases

• Calculating the total return on a complex 'covered' board strategy involving multiple street and corner bets.
• Comparing the long-term expected value between a single-zero European wheel and a double-zero American wheel.
• Determining the exact bankroll required to survive a specific number of losing spins while using a progression system like the Martingale.

Pitfalls and limitations

• Failing to account for the double zero (00) on American wheels which lowers your winning probability without increasing the payout.
• Confusing 'payout odds' with 'winning probability'—a 35:1 payout does not mean you have a 1 in 35 chance of winning.
• Overlooking the 'En Prison' or 'La Partage' rules in French Roulette which can return half your stake on even-money bets if the ball lands on zero.

Frequently asked questions

Related calculators