Payout & RTP Audit
18+ only. Contains affiliate links — we may earn a commission. Not for residents of the US, UK, France, Germany, Netherlands, Spain, Austria, Australia, Ontario or Vietnam. Not legal or financial advice.
Paste a complete hypothetical outcome table as JSON. Use decimal strings or fractions such as “1/6” to preserve precision, and explicitly choose whether payouts include the stake. The tool checks the table’s arithmetic; it cannot verify that a casino actually uses those probabilities.
Example inputs: replace with your own figures
Result
| RTP | 99% (99/100) |
|---|---|
| House edge | 1% (1/100) |
| Expected net return (stake units) | -0.01 (-1/100) |
| Variance (stake units squared) | 0.9801 (9801/10000) |
| Standard deviation (stake units) | 0.99 |
18+ · Educational tool. All calculations run in your browser. Examples are not casino rates.
The prefilled two-outcome table is hypothetical, not a real operator’s payout schedule.
How it is calculated
- For probability pᵢ and gross return xᵢ, RTP μ = Σpᵢxᵢ. House edge = 1 − μ; expected net return = μ − 1, per unit staked.
- Variance = Σpᵢ(xᵢ − μ)²; standard deviation = √variance. Net-only payouts are converted to gross by adding 1, so a complete loss is −1 in net mode or 0 in gross mode.
- Probabilities must be nonnegative, at most 1, and sum to exactly 1. They are never normalized. Use fractions when a decimal expansion repeats. Exact fraction outputs accompany rounded decimals.
- The browser accepts up to 100 outcomes, 20,000 JSON characters, and numeric strings of at most 100 characters with exponent magnitude at most 100. These limits keep local exact arithmetic manageable.
Sources GitHub: payout-audit
Reference tables
- Dice Payout Table: Assumed 1% House Edge
- Dice Payout Table: Assumed 2% House Edge
- Dice Payout Table: Assumed 3% House Edge
- Limbo Win Chance Table: Target and Return
18+ · No formula removes the house edge. Do not chase losses; set limits and only use money you can afford to lose. Help and limits.
Related reading
Frequently asked questions
Is theoretical RTP the same as observed RTP?
No. This is a weighted expectation from the supplied probabilities, not a measurement of actual rounds. Observed returns can differ widely.
Can I use rounded probabilities summing to 0.9999?
No. Supply exact fractions, such as 1/3, rather than rounding the probability sum or adding an invented residual outcome.
Does an audit prove a casino is fair?
No. It only checks the supplied table. It does not establish the source of the probabilities, seed integrity, payout reliability or regulatory status.
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