Wednesday, July 28, 2010

D6 Probabilities

I've been toying around with substituting multiple d6's for percentile dice in some situations, so I naturally needed to know the probabilies of throwing any given number or less with d6's. Here are the numbers, just in case anyone else needs 'em handy:

Roll1d62d63d64d65d6
116.667%----
233.333%2.778%---
350.000%8.333%0.463%--
466.667%16.667%1.852%0.077%-
583.333%27.778%4.630%0.386%0.013%
6100%41.667%9.259%1.157%0.077%
7-58.333%16.204%2.701%0.270%
8-72.222%25.926%5.401%0.720%
9-83.333%37.500%9.722%1.620%
10-91.667%50.000%15.895%3.241%
11-97.222%62.500%23.920%5.877%
12-100%74.074%33.565%9.799%
13--83.796%44.367%15.201%
14--90.741%55.633%22.145%
15--95.370%66.435%30.517%
16--98.148%76.080%39.969%
17--99.537%84.105%50.000%
18--100%90.278%60.031%
19---94.599%69.483%
20---97.299%77.855%
21---98.843%84.799%
22---99.614%90.201%
23---99.923%94.123%
24---100%96.759%
25----98.380%
26----99.280%
27----99.730%
28----99.923%
29----99.987%
30----100%