Dice odds · 1% house edge
Dice odds by win chance
Payouts, roll targets and losing streak odds for 15 win chances, from 1% to 98%. Each chance has its own page with streak tables, a martingale bankroll table and the math behind them. All numbers assume a 1% house edge.
All win chances
The last two columns show how often 10 losses in a row happen. At 1% that streak is 1 in 1.11 and starts about every 11 rolls; at 49.5% it is 1 in 927, about every 1,871 rolls; at 98% it is 1 in 9.8e16.
| Win chance | Payout | Roll under | Roll over | P(10 losses in a row) | Avg rolls between 10-loss streaks |
|---|---|---|---|---|---|
| 1% | 99x | < 1 | > 99.00 | 90.44% | 11 |
| 2% | 49.5x | < 2 | > 98.00 | 81.71% | 11 |
| 3.35% | 29.55x | < 3.35 | > 96.65 | 71.12% | 12 |
| 5% | 19.8x | < 5 | > 95.00 | 59.87% | 13 |
| 9.9% | 10x | < 9.9 | > 90.10 | 35.26% | 19 |
| 10% | 9.9x | < 10 | > 90.00 | 34.87% | 19 |
| 19.8% | 5x | < 19.8 | > 80.20 | 11.01% | 41 |
| 24.75% | 4x | < 24.75 | > 75.25 | 5.82% | 65 |
| 33% | 3x | < 33 | > 67.00 | 1.82% | 163 |
| 49.5% | 2x | < 49.5 | > 50.50 | 0.108% | 1,871 |
| 66% | 1.5x | < 66 | > 34.00 | 2.1e-3% | 73,394 |
| 75% | 1.32x | < 75 | > 25.00 | 9.5e-5% | 1,398,100 |
| 90% | 1.1x | < 90 | > 10.00 | 1.0e-8% | 11,111,111,110 |
| 95% | 1.0421x | < 95 | > 5.00 | 9.8e-12% | 1.1e13 |
| 98% | 1.0102x | < 98 | > 2.00 | 1.0e-15% | over 1e15 |
How payout follows chance
A dice game pays (100 − house edge) ÷ win chance. With a 1% edge that is 99 ÷ chance, so 49.5% pays 2x and 1% pays 99x. Multiply the payout by the win chance and you always get 0.99: on average a bet returns 99% of the stake whatever chance you pick.
Betting low wins when the roll is under the chance. Betting high wins when the roll is over 100 minus the chance, the mirror image of the low target on a roll that runs from 0.00 to 100.00.
Low chances pay more and lose in long runs; high chances win small amounts often and lose rarely. A 10 loss streak is close to certain over a long session at low chances and very rare at high ones, but each loss at a high chance costs many wins, so the expected loss per unit wagered stays at 1% across the table.