Roulette Payout Calculator
Find the payout and win chance for a roulette bet.
Each roulette bet has a fixed payout and a win probability set by the wheel.
How the Math Works
The Roulette Payout Calculator uses the formula profit = bet × ratio to determine potential earnings, where 'bet' is the stake amount and 'ratio' corresponds to the payout odds for the specific roulette bet type. For European wheels with 37 pockets (0–36), win probability is calculated as (number of winning pockets)/37. For example, a straight-up bet on a single number has a 1/37 (~2.7%) chance of winning and a 35:1 payout ratio, resulting in a $350 profit on a $10 bet. Even-money bets like red/black have a 18/37 (~48.6%) win probability and 1:1 payout, yielding $10 profit on a $10 bet. The house edge of 2.7% arises from the single zero pocket, which reduces the true odds for even-money bets.
Practical Applications
To use this calculator, input your desired bet amount and select the roulette bet type (e.g., straight-up, split, or even money). The calculator instantly applies the appropriate payout ratio and computes your potential profit, while also displaying the exact probability of winning based on the European wheel’s 37 pockets. This allows players to compare bets, such as a high-risk straight-up bet (35:1 payout, 2.7% chance) versus a low-risk red/black bet (1:1 payout, 48.6% chance), helping them align their strategy with their risk tolerance. It also clarifies the concept of expected value, showing how the house edge impacts long-term outcomes.
Day-to-Day Use
This calculator empowers everyday decision-making by demystifying probability and odds in gambling scenarios. Casual players can quickly evaluate whether a bet’s potential reward justifies its risk, fostering responsible gambling habits. Beyond the casino, understanding these principles aids in assessing risks in other areas, like financial investments or sports betting, where calculating expected returns and probabilities is crucial. It also serves educational purposes, teaching foundational math concepts like ratios, fractions, and probability in a relatable context, making it a practical tool for both entertainment and learning.
Worked example
$10 straight-up win → $350 profit (2.7% chance).
FAQ
Why does the house win long-term?
Payouts assume 36 outcomes, but the wheel has 37 (or 38), giving the house edge.