Roll And Keep
Comparing roll and keep with +N capped at 4
It looks like roll and keep is roughly 1/2 as effective as a +N capped at 4, except you don't have to do math. So
- 5dF is like +1
- 7dF is like +2
- 9dF is like +3.
Cumulative probabilities for rolling extra dF dice and keeping the best 4:
+0dF | +1dF | +2dF | +3dF | +4dF | +5dF | |
---|---|---|---|---|---|---|
4 | 1.23 | 4.53 | 10.01 | 17.33 | 25.86 | 34.97 |
3 | 6.17 | 16.87 | 29.22 | 41.34 | 52.32 | 61.86 |
2 | 18.52 | 37.45 | 54.6 | 67.9 | 77.5 | 84.23 |
1 | 38.27 | 60.08 | 75.99 | 86.15 | 92.14 | 95.52 |
0 | 61.73 | 79.01 | 89.3 | 94.83 | 97.61 | 98.93 |
-1 | 81.48 | 91.36 | 96.16 | 98.35 | 99.31 | 99.72 |
-2 | 93.83 | 97.53 | 99.04 | 99.63 | 99.86 | 99.95 |
-3 | 98.77 | 99.59 | 99.86 | 99.95 | 99.98 | 99.99 |
-4 | 100 | 100 | 100 | 100 | 100 | 100 |
Cumulative probabilities for +N, capping the result at a maximum of 4:
+0 | +1 | +2 | +3 | |
---|---|---|---|---|
4 | 1.23 | 6.17 | 18.52 | 38.27 |
3 | 6.17 | 18.52 | 38.27 | 61.73 |
2 | 18.52 | 38.27 | 61.73 | 81.48 |
1 | 38.27 | 61.73 | 81.48 | 93.83 |
0 | 61.73 | 81.48 | 93.83 | 98.77 |
-1 | 81.48 | 93.83 | 98.77 | 100 |
-2 | 93.83 | 98.77 | 100 | |
-3 | 98.77 | 100 | ||
-4 | 100 |
page revision: 8, last edited: 12 May 2010 08:55