Dice notation
8d6
Roll 8d6 and see where it lands on the real distribution. Range 8 to 48, averaging 28.00.
The shape of 8d6
Your last roll is marked in white. The tall bars are where this notation actually lives.
- Lowest
- 8
- Highest
- 48
- Average
- 28.00
- Most likely
- 28
- Chance of 28
- 8.1%
- Possible totals
- 41
Peak at 28 (8.1%). Average 28.00. Range 8–48.
There is exactly one way to roll 8 and one way to roll 48, so each sits at 0.000%, or 1 in 1,679,616. There are 135,954 ways to make 28, which is why the middle of the range dominates. Rolling 8 dice instead of one trades range for reliability.
Every total, with odds
Exact figures, enumerated rather than simulated.
| Total | Chance | Odds | This or higher |
|---|---|---|---|
| 8 | 0.000% | 1 in 1,679,616 | 100.0% |
| 9 | 0.000% | 1 in 209,952 | 100.0% |
| 10 | 0.002% | 1 in 46,656 | 100.0% |
| 11 | 0.007% | 1 in 13,997 | 100.0% |
| 12 | 0.020% | 1 in 5,090 | 100.0% |
| 13 | 0.047% | 1 in 2,121 | 100.0% |
| 14 | 0.102% | 1 in 983 | 99.9% |
| 15 | 0.201% | 1 in 499 | 99.8% |
| 16 | 0.366% | 1 in 273 | 99.6% |
| 17 | 0.624% | 1 in 160 | 99.3% |
| 18 | 1.00% | 1 in 100 | 98.6% |
| 19 | 1.52% | 1 in 66 | 97.6% |
| 20 | 2.18% | 1 in 46 | 96.1% |
| 21 | 2.99% | 1 in 33 | 93.9% |
| 22 | 3.92% | 1 in 26 | 90.9% |
| 23 | 4.90% | 1 in 20 | 87.0% |
| 24 | 5.88% | 1 in 17 | 82.1% |
| 25 | 6.77% | 1 in 15 | 76.2% |
| 26 | 7.48% | 1 in 13 | 69.5% |
| 27 | 7.94% | 1 in 13 | 62.0% |
| 28 | 8.09% | 1 in 12 | 54.0% |
| 29 | 7.94% | 1 in 13 | 46.0% |
| 30 | 7.48% | 1 in 13 | 38.0% |
| 31 | 6.77% | 1 in 15 | 30.5% |
| 32 | 5.88% | 1 in 17 | 23.8% |
| 33 | 4.90% | 1 in 20 | 17.9% |
| 34 | 3.92% | 1 in 26 | 13.0% |
| 35 | 2.99% | 1 in 33 | 9.07% |
| 36 | 2.18% | 1 in 46 | 6.07% |
| 37 | 1.52% | 1 in 66 | 3.89% |
| 38 | 1.00% | 1 in 100 | 2.37% |
| 39 | 0.624% | 1 in 160 | 1.37% |
| 40 | 0.366% | 1 in 273 | 0.745% |
| 41 | 0.201% | 1 in 499 | 0.379% |
| 42 | 0.102% | 1 in 983 | 0.178% |
| 43 | 0.047% | 1 in 2,121 | 0.077% |
| 44 | 0.020% | 1 in 5,090 | 0.029% |
| 45 | 0.007% | 1 in 13,997 | 0.010% |
| 46 | 0.002% | 1 in 46,656 | 0.003% |
| 47 | 0.000% | 1 in 209,952 | 0.001% |
| 48 | 0.000% | 1 in 1,679,616 | 0.000% |
Common questions about 8d6
What is the average of 8d6?
28.00. The range runs 8 to 48, but the average sits in the middle because there are far more ways to land near the centre than at either end.
What are the odds of rolling 48 on 8d6?
0.000%, or 1 in 1,679,616. The minimum of 8 is equally rare at 0.000%. Both extremes need every die to cooperate.
What is the most likely result of 8d6?
28, at 8.1%. There are 135,954 different combinations that add up to 28, against 1 for 48. That gap is what makes the curve.
Is 8d6 the same as picking a number between 8 and 48?
No, and this is the most useful thing to understand about dice. Picking at random from 8 to 48 gives every one of those 41 results an equal 2.44% chance. 8d6 covers the same span with a hump in the middle: 28 lands 135,954 times more often than 48 does. Same range, completely different behaviour.