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Number Occurs
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Number Occurs
Roll Succeeds
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Bell Curves
3d6: How Often A Number Occurs
Test |
Occurs |
Chances |
Percent |
3- |
1 |
1 |
0.46% |
4- |
3 |
4 |
1.85% |
5- |
6 |
10 |
4.63% |
6- |
10 |
20 |
9.26% |
7- |
15 |
35 |
16.20% |
8- |
21 |
56 |
25.93% |
9- |
25 |
81 |
37.50% |
10- |
27 |
108 |
50.00% |
11- |
27 |
135 |
62.50% |
12- |
25 |
160 |
74.07% |
13- |
21 |
181 |
83.80% |
14- |
15 |
196 |
90.74% |
15- |
10 |
206 |
95.37% |
16- |
6 |
212 |
98.15% |
17- |
3 |
215 |
99.54% |
18- |
1 |
216 |
100.00% |
This page is similar to the
2d6: Roll Succeeds
page, and shows the chances of rolling a certain total or less on 3d6.
If you are trying to roll a 13 or less (13-) on 3d6, there are eleven
possible totals that would succeed: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and
13. A total of 14, 15, 16, 17, or 18 would fail the test.
Each of the successful totals occurs differing numbers of times in the table.
Frex, 3 occurs once, 4 occurs thrice, etc.
In order to determine the chance of rolling a total of 8-,
we add up all the "chances" for each number that would be a success.
In our example,
this would be the total number of times each total from 3 to 8 occurs:
1+3+6+10+15+21,
for a total of 56 possible success in 216 total possible rolls,
56/216 or a 26% chance for any rolled total to be a success.
Copyright © 1999 Bob Simpson. All Rights Reserved. Last updated: 2001 Nov 29
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