Dice Payout Table: Assumed 2% House Edge
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An assumed two-percent edge makes a useful comparison with lower-cost Dice models. The same win-chance setting now produces a smaller total return even though the target and frequency of winning have not changed.
Each row pairs a strict roll-under threshold with its theoretical gross multiplier. The grid assumption is explicit so a threshold can be checked independently of a casino’s interface labels.
Probability and return table
The 2% edge is an illustrative assumption, not a rate attributed to any casino.
| Win chance | Roll below | Gross return |
|---|---|---|
| 1% | 1 | 98× |
| 2% | 2 | 49× |
| 5% | 5 | 19.6× |
| 10% | 10 | 9.8× |
| 20% | 20 | 4.9× |
| 25% | 25 | 3.92× |
| 33% | 33 | 2.96969697× |
| 49.5% | 49.5 | 1.97979798× |
| 50% | 50 | 1.96× |
| 66% | 66 | 1.48484848× |
| 75% | 75 | 1.30666667× |
| 90% | 90 | 1.08888889× |
| 95% | 95 | 1.03157895× |
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
Compare like-for-like chances across edge tables rather than comparing unrelated multipliers. The change in edge comes out of the winning return; the chance of a losing streak is unchanged when the win chance is held fixed. More frequent wins therefore do not compensate for the larger expected cost.
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 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.
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Frequently asked questions
What does the assumed 2% 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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