Number Occurs
Systems

Bell Curves3d6: How Often A Number Occurs
This table shows how often any single total occurs when 3d6 are thrown. The lowest total you can roll on 3d6 is a 3. A 3 appears only once, on a roll of 111. The highest total is a 18 and appears only once as well, a roll of 666. Each of the other totals occur more than once. The two most common totals are 10 and 11, which appear twentyseven times each. You can verify this on the previous page. In the table, the first column shows the total. The second column shows the number of times each total appears in the 216 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 3 shows up only once, and there are 216 possible results, so the chance of rolling a 3 is 1/216, or less than 0.5%. A total of 18 shows up only once as well, so the chance of rolling a 18 is the same as rolling a 3: less than 0.5%. However, each of the other rolls show up more frequently in the table on the previous page. A total of 10 shows up twentyseven times, so the chance of rolling 10 is 27/216 or 12.5%. If you did a graph of these numbers you would see that the curve was vaguely bellshaped: pointy on the ends and bulgy in the middle.
Copyright © 1999 Bob Simpson. All Rights Reserved. 
Last modified: 2002Feb14 19:44:31
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