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Roulette Payout and House Edge Calculator — result sheet
Estimate win probability, payout, expected net result, and house edge for straight-up or even-money roulette bets.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Win probability=winning pockets/total pockets; expected net=p·profit−(1−p)·stake; house edge=−expected net/stake.
The page distinguishes the payout ratio from the wheel probability so the effect of the extra zero pocket remains visible.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Stake — minimum 1.0E-6; maximum 1000000000
- Wheel — 2 choices
- Bet type — 2 choices
Worked example
| Input | Value |
|---|---|
| Stake | 50 |
| Wheel | european |
| Bet type | straight |
Win probability ≈ 2.703%; net win = 1,750; expected net ≈ −1.351; house edge ≈ 2.703%.
Assumptions and limits
- The wheel is fair and each pocket is equally likely.
- Straight-up bets have a 35:1 net payout; even-money bets have a 1:1 net payout.
- Expected value is a long-run model and does not predict a single spin.
- This is informational probability arithmetic, not gambling advice.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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