This page outlines the probabilities when rolling dice and summing the resulting faces
This table tells you the probability of rolling at least the number in the “At Least” column, when you sum the result of varying numbers of dice
| At Least | 2d6 | 3d6 | 4d6 | 5d6 | 6d6 | 7d6 | 8d6 | 9d6 | 10d6 |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 100.0% | ||||||||
| 3 | 97.22% | 100.0% | |||||||
| 4 | 91.67% | 99.54% | 100.0% | ||||||
| 5 | 83.33% | 98.15% | 99.92% | 100.0% | |||||
| 6 | 72.22% | 95.37% | 99.61% | 99.99% | 100.0% | ||||
| 7 | 58.33% | 90.74% | 98.84% | 99.92% | 100.0% | 100.0% | |||
| 8 | 41.67% | 83.80% | 97.30% | 99.73% | 99.98% | 100.0% | 100.0% | ||
| 9 | 27.78% | 74.07% | 94.60% | 99.28% | 99.94% | 100.0% | 100.0% | 100.0% | |
| 10 | 16.67% | 62.50% | 90.28% | 98.38% | 99.82% | 99.99% | 100.0% | 100.0% | 100.0% |
| 11 | 8.33% | 50.00% | 84.10% | 96.76% | 99.55% | 99.96% | 100.0% | 100.0% | 100.0% |
| 12 | 2.78% | 37.50% | 76.08% | 94.12% | 99.01% | 99.88% | 99.99% | 100.0% | 100.0% |
| 13 | - | 25.93% | 66.44% | 90.20% | 98.03% | 99.72% | 99.97% | 100.0% | 100.0% |
| 14 | - | 16.2% | 55.63% | 84.80% | 96.41% | 99.39% | 99.92% | 99.99% | 100.0% |
| 15 | - | 9.26% | 44.37% | 77.85% | 93.92% | 98.79% | 99.82% | 99.98% | 100.0% |
| 16 | - | 4.63% | 33.56% | 69.48% | 90.35% | 97.79% | 99.62% | 99.95% | 100.0% |
| 17 | - | 1.85% | 23.92% | 60.03% | 85.54% | 96.21% | 99.26% | 99.89% | 99.99% |
| 18 | - | 0.46% | 15.90% | 50.00% | 79.42% | 93.88% | 98.63% | 99.76% | 99.97% |
| 19 | - | - | 9.72% | 39.97% | 72.06% | 90.61% | 97.63% | 99.54% | 99.93% |
| 20 | - | - | 5.4% | 30.52% | 63.69% | 86.28% | 96.11% | 99.15% | 99.85% |
| 21 | - | - | 2.7% | 22.15% | 54.64% | 80.83% | 93.93% | 98.51% | 99.71% |
| 22 | - | - | 1.16% | 15.20% | 45.36% | 74.28% | 90.93% | 97.53% | 99.47% |
| 23 | - | - | 0.39% | 9.80% | 36.31% | 66.78% | 87.02% | 96.08% | 99.06% |
| 24 | - | - | 0.08% | 5.88% | 27.94% | 58.58% | 82.11% | 94.04% | 98.43% |
| 25 | - | - | - | 3.24% | 20.58% | 50.00% | 76.23% | 91.29% | 97.48% |
| 26 | - | - | - | 1.62% | 14.46% | 41.42% | 69.46% | 87.72% | 96.10% |
| 27 | - | - | - | 0.72% | 9.65% | 33.22% | 61.98% | 83.28% | 94.20% |
| 28 | - | - | - | 0.27% | 6.08% | 25.72% | 54.05% | 77.96% | 91.66% |
| 29 | - | - | - | 0.08% | 3.59% | 19.17% | 45.95% | 71.81% | 88.40% |
| 30 | - | - | - | 0.01% | 1.97% | 13.72% | 38.02% | 64.96% | 84.35% |
| 31 | - | - | - | - | 0.99% | 9.39% | 30.54% | 57.61% | 79.50% |
| 32 | - | - | - | - | 0.45% | 6.12% | 23.77% | 50.00% | 73.89% |
| 33 | - | - | - | - | 0.18% | 3.79% | 17.89% | 42.39% | 67.60% |
| 34 | - | - | - | - | 0.06% | 2.21% | 12.98% | 35.04% | 60.79% |
| 35 | - | - | - | - | 0.02% | 1.21% | 9.07% | 28.19% | 53.63% |
| 36 | - | - | - | - | 0.00% | 0.61% | 6.07% | 22.04% | 46.37% |
| 37 | - | - | - | - | - | 0.30% | 3.90% | 16.70% | 39.2% |
| 38 | - | - | - | - | - | 0.10% | 2.40% | 12.30% | 32.4% |
| 39 | - | - | - | - | - | 0% | 1.40% | 8.70% | 26.1% |
| 40 | - | - | - | - | - | 0% | 0.7% | 6.00% | 20.5% |
| 41 | - | - | - | - | - | 0% | 0.4% | 3.90% | 15.7% |
| 42 | - | - | - | - | - | 0% | 0.2% | 2.50% | 11.6% |
| 43 | - | - | - | - | - | - | 0.1% | 1.5% | 8.3% |
| 44 | - | - | - | - | - | - | 0% | 0.9% | 5.8% |
| 45 | - | - | - | - | - | - | 0% | 0.5% | 3.9% |
| 46 | - | - | - | - | - | - | 0% | 0.2% | 2.5% |
| 47 | - | - | - | - | - | - | 0% | 0.1% | 1.6% |
| 48 | - | - | - | - | - | - | 0% | 0% | 0.9% |
| 49 | - | - | - | - | - | - | - | 0% | 0.5% |
| 50 | - | - | - | - | - | - | - | 0% | 0.3% |
| 51 | - | - | - | - | - | - | - | 0% | 0.1% |
| 52 | - | - | - | - | - | - | - | 0% | 0.1% |
| 53 | - | - | - | - | - | - | - | 0% | 0% |
| 54 | - | - | - | - | - | - | - | 0% | 0% |
| 55 | - | - | - | - | - | - | - | - | 0% |
| 56 | - | - | - | - | - | - | - | - | 0% |
| 57 | - | - | - | - | - | - | - | - | 0% |
| 58 | - | - | - | - | - | - | - | - | 0% |
| 59 | - | - | - | - | - | - | - | - | 0% |
| 60 | - | - | - | - | - | - | - | - | 0% |
| At Least | 2d6 | 3d6 | 4d6 | 5d6 | 6d6 | 7d6 | 8d6 | 9d6 | 10d6 |
The following table shows the probabilities for rolling a specific number, given different amounts of dice
| Result | 2d6 | 3d6 | 4d6 | 5d6 | 6d6 | 7d6 | 8d6 | 9d6 | 10d6 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | |||||||||
| 2 | 2.8% | ||||||||
| 3 | 5.5% | 0.5% | |||||||
| 4 | 8.3% | 1.4% | 0.08% | ||||||
| 5 | 11.1% | 2.8% | 0.31% | 0.01% | |||||
| 6 | 13.9% | 4.6% | 0.77% | 0.06% | 0.00% | ||||
| 7 | 16.7% | 6.9% | 1.54% | 0.19% | 0.01% | 0.00% | |||
| 8 | 13.9% | 9.7% | 2.70% | 0.45% | 0.05% | 0.00% | 0.00% | ||
| 9 | 11.1% | 11.6% | 4.32% | 0.90% | 0.12% | 0.01% | 0.00% | 0.00% | |
| 10 | 8.3% | 12.5% | 6.17% | 1.62% | 0.27% | 0.03% | 0.00% | 0.00% | 0.00% |
| 11 | 5.5% | 12.5% | 8.02% | 2.64% | 0.54% | 0.08% | 0.01% | 0.00% | 0.00% |
| 12 | 2.7% | 11.6% | 9.65% | 3.92% | 0.98% | 0.17% | 0.02% | 0.00% | 0.00% |
| 13 | - | 9.7% | 10.80% | 5.40% | 1.62% | 0.32% | 0.05% | 0.00% | 0.00% |
| 14 | - | 6.9% | 11.27% | 6.94% | 2.49% | 0.60% | 0.10% | 0.01% | 0.00% |
| 15 | - | 4.6% | 10.80% | 8.37% | 3.57% | 1.00% | 0.20% | 0.03% | 0.00% |
| 16 | - | 2.8% | 9.65% | 9.45% | 4.82% | 1.58% | 0.37% | 0.06% | 0.01% |
| 17 | - | 1.4% | 8.02% | 10.03% | 6.12% | 2.34% | 0.62% | 0.12% | 0.02% |
| 18 | - | 0.5% | 6.17% | 10.03% | 7.35% | 3.27% | 1.00% | 0.23% | 0.04% |
| 19 | - | - | 4.32% | 9.45% | 8.37% | 4.33% | 1.52% | 0.39% | 0.08% |
| 20 | - | - | 2.70% | 8.37% | 9.05% | 5.45% | 2.18% | 0.64% | 0.14% |
| 21 | - | - | 1.54% | 6.94% | 9.28% | 6.55% | 3.00% | 0.98% | 0.24% |
| 22 | - | - | 0.77% | 5.40% | 9.05% | 7.50% | 3.92% | 1.45% | 0.40% |
| 23 | - | - | 0.31% | 3.92% | 8.37% | 8.20% | 4.90% | 2.04% | 0.63% |
| 24 | - | - | 0.08% | 2.64% | 7.35% | 8.58% | 5.88% | 2.75% | 0.95% |
| 25 | - | - | - | 1.62% | 6.12% | 8.58% | 6.77% | 3.56% | 1.37% |
| 26 | - | - | - | 0.90% | 4.82% | 8.20% | 7.48% | 4.44% | 1.90% |
| 27 | - | - | - | 0.45% | 3.57% | 7.50% | 7.93% | 5.32% | 2.54% |
| 28 | - | - | - | 0.19% | 2.49% | 6.55% | 8.09% | 6.15% | 3.26% |
| 29 | - | - | - | 0.06% | 1.62% | 5.45% | 7.93% | 6.84% | 4.05% |
| 30 | - | - | - | 0.01% | 0.98% | 4.33% | 7.48% | 7.35% | 4.84% |
| 31 | - | - | - | - | 0.54% | 3.27% | 6.77% | 7.61% | 5.61% |
| 32 | - | - | - | - | 0.27% | 2.34% | 5.88% | 7.61% | 6.28% |
| 33 | - | - | - | - | 0.12% | 1.58% | 4.90% | 7.35% | 6.82% |
| 34 | - | - | - | - | 0.05% | 1.00% | 3.92% | 6.84% | 7.15% |
| 35 | - | - | - | - | 0.01% | 0.60% | 3.00% | 6.15% | 7.27% |
| 36 | - | - | - | - | 0.00% | 0.32% | 2.18% | 5.32% | 7.15% |
| 37 | - | - | - | - | - | 0.17% | 1.52% | 4.44% | 6.82% |
| 38 | - | - | - | - | - | 0.08% | 1.00% | 3.56% | 6.28% |
| 39 | - | - | - | - | - | 0.03% | 0.62% | 2.75% | 5.61% |
| 40 | - | - | - | - | - | 0.01% | 0.37% | 2.04% | 4.84% |
| 41 | - | - | - | - | - | 0.00% | 0.20% | 1.45% | 4.05% |
| 42 | - | - | - | - | - | 0.00% | 0.10% | 0.98% | 3.26% |
| 43 | - | - | - | - | - | - | 0.05% | 0.64% | 2.54% |
| 44 | - | - | - | - | - | - | 0.02% | 0.39% | 1.90% |
| 45 | - | - | - | - | - | - | 0.01% | 0.23% | 1.37% |
| 46 | - | - | - | - | - | - | 0.00% | 0.12% | 0.95% |
| 47 | - | - | - | - | - | - | 0.00% | 0.06% | 0.63% |
| 48 | - | - | - | - | - | - | 0.00% | 0.03% | 0.40% |
| 49 | - | - | - | - | - | - | - | 0.01% | 0.24% |
| 50 | - | - | - | - | - | - | - | 0.00% | 0.14% |
| 51 | - | - | - | - | - | - | - | 0.00% | 0.08% |
| 52 | - | - | - | - | - | - | - | 0.00% | 0.04% |
| 53 | - | - | - | - | - | - | - | 0.00% | 0.02% |
| 54 | - | - | - | - | - | - | - | 0.00% | 0.01% |
| 55 | - | - | - | - | - | - | - | - | 0.00% |
| 56 | - | - | - | - | - | - | - | - | 0.00% |
| 57 | - | - | - | - | - | - | - | - | 0.00% |
| 58 | - | - | - | - | - | - | - | - | 0.00% |
| 59 | - | - | - | - | - | - | - | - | 0.00% |
| 60 | - | - | - | - | - | - | - | - | 0.00% |
| Result | 2d6 | 3d6 | 4d6 | 5d6 | 6d6 | 7d6 | 8d6 | 9d6 | 10d6 |
This is the same table as above, but with anything that is below a 1% chance filtered out for readability
| Result | 2d6 | 3d6 | 4d6 | 5d6 | 6d6 | 7d6 | 8d6 | 9d6 | 10d6 |
|---|---|---|---|---|---|---|---|---|---|
| 1 | |||||||||
| 2 | 2.8% | ||||||||
| 3 | 5.5% | ||||||||
| 4 | 8.3% | 1.4% | |||||||
| 5 | 11.1% | 2.8% | |||||||
| 6 | 13.9% | 4.6% | |||||||
| 7 | 16.7% | 6.9% | 1.54% | ||||||
| 8 | 13.9% | 9.7% | 2.70% | ||||||
| 9 | 11.1% | 11.6% | 4.32% | ||||||
| 10 | 8.3% | 12.5% | 6.17% | 1.62% | |||||
| 11 | 5.5% | 12.5% | 8.02% | 2.64% | |||||
| 12 | 2.7% | 11.6% | 9.65% | 3.92% | |||||
| 13 | - | 9.7% | 10.80% | 5.40% | 1.62% | ||||
| 14 | - | 6.9% | 11.27% | 6.94% | 2.49% | ||||
| 15 | - | 4.6% | 10.80% | 8.37% | 3.57% | 1.00% | |||
| 16 | - | 2.8% | 9.65% | 9.45% | 4.82% | 1.58% | |||
| 17 | - | 1.4% | 8.02% | 10.03% | 6.12% | 2.34% | |||
| 18 | - | - | 6.17% | 10.03% | 7.35% | 3.27% | 1.00% | ||
| 19 | - | - | 4.32% | 9.45% | 8.37% | 4.33% | 1.52% | ||
| 20 | - | - | 2.70% | 8.37% | 9.05% | 5.45% | 2.18% | ||
| 21 | - | - | 1.54% | 6.94% | 9.28% | 6.55% | 3.00% | ||
| 22 | - | - | - | 5.40% | 9.05% | 7.50% | 3.92% | 1.45% | |
| 23 | - | - | - | 3.92% | 8.37% | 8.20% | 4.90% | 2.04% | |
| 24 | - | - | - | 2.64% | 7.35% | 8.58% | 5.88% | 2.75% | |
| 25 | - | - | - | 1.62% | 6.12% | 8.58% | 6.77% | 3.56% | 1.37% |
| 26 | - | - | - | - | 4.82% | 8.20% | 7.48% | 4.44% | 1.90% |
| 27 | - | - | - | - | 3.57% | 7.50% | 7.93% | 5.32% | 2.54% |
| 28 | - | - | - | - | 2.49% | 6.55% | 8.09% | 6.15% | 3.26% |
| 29 | - | - | - | - | 1.62% | 5.45% | 7.93% | 6.84% | 4.05% |
| 30 | - | - | - | - | - | 4.33% | 7.48% | 7.35% | 4.84% |
| 31 | - | - | - | - | - | 3.27% | 6.77% | 7.61% | 5.61% |
| 32 | - | - | - | - | - | 2.34% | 5.88% | 7.61% | 6.28% |
| 33 | - | - | - | - | - | 1.58% | 4.90% | 7.35% | 6.82% |
| 34 | - | - | - | - | - | 1.00% | 3.92% | 6.84% | 7.15% |
| 35 | - | - | - | - | - | - | 3.00% | 6.15% | 7.27% |
| 36 | - | - | - | - | - | - | 2.18% | 5.32% | 7.15% |
| 37 | - | - | - | - | - | - | 1.52% | 4.44% | 6.82% |
| 38 | - | - | - | - | - | - | 1.00% | 3.56% | 6.28% |
| 39 | - | - | - | - | - | - | - | 2.75% | 5.61% |
| 40 | - | - | - | - | - | - | - | 2.04% | 4.84% |
| 41 | - | - | - | - | - | - | - | 1.45% | 4.05% |
| 42 | - | - | - | - | - | - | - | - | 3.26% |
| 43 | - | - | - | - | - | - | - | - | 2.54% |
| 44 | - | - | - | - | - | - | - | - | 1.90% |
| 45 | - | - | - | - | - | - | - | - | 1.37% |
| Result | 2d6 | 3d6 | 4d6 | 5d6 | 6d6 | 7d6 | 8d6 | 9d6 | 10d6 |
