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3d6: How Often A Number Occurs

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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.

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Copyright © 1999 Bob Simpson. All Rights Reserved.
Last updated: 2001 Nov 29







Last modified: 2002-Feb-14 19:54:32

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