I consulted some mathematicians and found the following useful statistics related to dice rolls in Donjon:
When creating a character's attributes and rolling 3d6 and keeping only the median die, the odds are:
6 | 7.4% | **** |
5 | 18.5% | ********* |
4 | 24.1% | ************ |
3 | 24.1% | ************ |
2 | 18.5% | ********* |
1 | 7.4% | **** |
Now if you roll a pool of d20 and only look at the highest die, what is the average result you will get?
1d20 | 10.5 |
2d20 | 13.8 |
3d20 | 15.5 |
4d20 | 16.5 |
5d20 | 17.1 |
6d20 | 17.6 |
7d20 | 18.0 |
8d20 | 18.2 |
9d20 | 18.5 |
10d20 | 18.6 |
11d20 | 18.8 |
12d20 | 18.9 |
13d20 | 19.0 |
14d20 | 19.1 |
15d20 | 19.2 |
16d20 | 19.3 |
Peace,
Sonja