Dice notation
4d6
Roll 4d6 and see where it lands on the real distribution. Range 4 to 24, averaging 14.00.
The shape of 4d6
Your last roll is marked in white. The tall bars are where this notation actually lives.
- Lowest
- 4
- Highest
- 24
- Average
- 14.00
- Most likely
- 14
- Chance of 14
- 11.3%
- Possible totals
- 21
Peak at 14 (11.3%). Average 14.00. Range 4–24.
There is exactly one way to roll 4 and one way to roll 24, so each sits at 0.077%, or 1 in 1,296. There are 146 ways to make 14, which is why the middle of the range dominates. Rolling 4 dice instead of one trades range for reliability.
Every total, with odds
Exact figures, enumerated rather than simulated.
| Total | Chance | Odds | This or higher |
|---|---|---|---|
| 4 | 0.077% | 1 in 1,296 | 100.0% |
| 5 | 0.309% | 1 in 324 | 99.9% |
| 6 | 0.772% | 1 in 130 | 99.6% |
| 7 | 1.54% | 1 in 65 | 98.8% |
| 8 | 2.70% | 1 in 37 | 97.3% |
| 9 | 4.32% | 1 in 23 | 94.6% |
| 10 | 6.17% | 1 in 16 | 90.3% |
| 11 | 8.02% | 1 in 12 | 84.1% |
| 12 | 9.65% | 1 in 10 | 76.1% |
| 13 | 10.8% | 1 in 9 | 66.4% |
| 14 | 11.3% | 1 in 9 | 55.6% |
| 15 | 10.8% | 1 in 9 | 44.4% |
| 16 | 9.65% | 1 in 10 | 33.6% |
| 17 | 8.02% | 1 in 12 | 23.9% |
| 18 | 6.17% | 1 in 16 | 15.9% |
| 19 | 4.32% | 1 in 23 | 9.72% |
| 20 | 2.70% | 1 in 37 | 5.40% |
| 21 | 1.54% | 1 in 65 | 2.70% |
| 22 | 0.772% | 1 in 130 | 1.16% |
| 23 | 0.309% | 1 in 324 | 0.386% |
| 24 | 0.077% | 1 in 1,296 | 0.077% |
Common questions about 4d6
What is the average of 4d6?
14.00. The range runs 4 to 24, 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 24 on 4d6?
0.077%, or 1 in 1,296. The minimum of 4 is equally rare at 0.077%. Both extremes need every die to cooperate.
What is the most likely result of 4d6?
14, at 11.3%. There are 146 different combinations that add up to 14, against 1 for 24. That gap is what makes the curve.
Is 4d6 the same as picking a number between 4 and 24?
No, and this is the most useful thing to understand about dice. Picking at random from 4 to 24 gives every one of those 21 results an equal 4.76% chance. 4d6 covers the same span with a hump in the middle: 14 lands 146 times more often than 24 does. Same range, completely different behaviour.