Dice Payout Table: Assumed 3% House Edge
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At an assumed three-percent edge, payout differences become easier to see beside a lower-edge table. This reference keeps the probability choices identical so the cost of the edge is not confused with a change in hit rate.
Targets use the stated uniform roll grid, and multipliers include the original stake. The table is a mathematical comparison, without claiming that any named casino offers these settings or returns.
Probability and return table
The 3% edge is an illustrative assumption, not a rate attributed to any casino.
| Win chance | Roll below | Gross return |
|---|---|---|
| 1% | 1 | 97× |
| 2% | 2 | 48.5× |
| 5% | 5 | 19.4× |
| 10% | 10 | 9.7× |
| 20% | 20 | 4.85× |
| 25% | 25 | 3.88× |
| 33% | 33 | 2.93939394× |
| 49.5% | 49.5 | 1.95959596× |
| 50% | 50 | 1.94× |
| 66% | 66 | 1.46969697× |
| 75% | 75 | 1.29333333× |
| 90% | 90 | 1.07777778× |
| 95% | 95 | 1.02105263× |
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
A short run can finish ahead under any of these settings, but the fixed edge still applies to total turnover in expectation. Choosing a high win chance can make losses feel less frequent while each winning payout is smaller. That change in distribution should not be read as a reduction in the assumed edge.
Calculators and related reading
- Payout and RTP audit calculator
- Guide to the game and its odds
- Dice Payout Table: Assumed 1% House Edge
- Dice Payout Table: Assumed 2% 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 3% 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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