Dice Payout Table: Assumed 1% House Edge
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This table holds an assumed house edge fixed while changing the Dice win chance. It is a way to compare frequent small returns with less frequent large returns under the same theoretical cost per unit staked.
The roll-under target uses a uniform grid from zero through 99.99 and a strict “less than” rule. All listed targets land exactly on that grid; a game with different endpoints or rounding needs its own calculation.
Probability and return table
The 1% edge is an illustrative assumption, not a rate attributed to any casino.
| Win chance | Roll below | Gross return |
|---|---|---|
| 1% | 1 | 99× |
| 2% | 2 | 49.5× |
| 5% | 5 | 19.8× |
| 10% | 10 | 9.9× |
| 20% | 20 | 4.95× |
| 25% | 25 | 3.96× |
| 33% | 33 | 3× |
| 49.5% | 49.5 | 2× |
| 50% | 50 | 1.98× |
| 66% | 66 | 1.5× |
| 75% | 75 | 1.32× |
| 90% | 90 | 1.1× |
| 95% | 95 | 1.04210526× |
How the values are calculated
With probability p and assumed edge h, the gross multiplier is (1 − h)/p. For the uniform 0–99.99 grid, the strict roll-under target is 100p. Listed probabilities fit exactly on 0.01 steps. Different endpoints or equality rules change the calculation.
Reproducible arithmetic: GitHub: payout-audit. Values are generated at build time using the tools’ shared math module.
Interpreting this configuration
The small gap between the fair reciprocal and this payout is a proportional reduction, not a fixed amount subtracted from every multiplier. Increasing the win chance reduces the payout and changes variance, while the assumed expected loss per unit stays constant.
Calculators and related reading
- Payout and RTP audit calculator
- Guide to the game and its odds
- Dice Payout Table: Assumed 2% House Edge
- Dice Payout Table: Assumed 3% House Edge
18+ · These results do not predict a round or guarantee a profit. Do not chase losses; only gamble money you can afford to lose. Help and limits.
See what a staking level needs, with example numbers.
Frequently asked questions
What does the assumed 1% edge mean?
It is the expected fraction of turnover not returned as gross payouts in this model. It is not attributed to a casino.
Does a roll equal to the target win?
No. This table uses strict roll-under: only rolls below the target win, over 10,000 uniform outcomes from 0 to 99.99.
Does the multiplier include the stake?
Yes. Subtract one unit from the gross multiplier to get the net profit on a winning bet.
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