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2d6: How Often A Number Occurs

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Total Occurs Percent
2 1 2.78%
3 2 5.56%
4 3 8.33%
5 4 11.11%
6 5 13.89%
7 6 16.67%
8 5 13.89%
9 4 11.11%
10 3 8.33%
11 2 5.56%
12 1 2.78%

This table shows how often any single total occurs when 2d6 are thrown.

The lowest total you can roll on 2d6 is a 2. A 2 appears only once, on a roll of 1-1. The highest total is a 12 and appears only once as well, a roll of 6-6. Each of the other totals occur more than once. The most common total is a 7, which appears six times: rolls of 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1.

In the table, the first column shows the total. The second column shows the number of times each total appears in the 36 possible results. The last column shows the percentage chance of any specific total appearing on any single roll. The total number of times a specific total occurs, divided by the total number of occurances gives the percentage chance for any number to show up.

A total of 2 shows up only once, and there are 36 possible results, so the chance of rolling a 2 is 1/36, or 2.8%

A total of 12 shows up only once as well, so the chance of rolling a 12 is the same as rolling a 2: 2.8%

However, each of the other rolls show up more frequently in the table on the previous page. A total of 7 shows up six times, so the chance of rolling 7 is 6/36 or 16.7%

If you did a graph of these numbers you would see that the curve was vaguely bell-shaped: pointy on the ends and bulgy in the middle.

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







Last modified: 2002-Feb-14 19:43:42

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