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Thursday, March 3, 2011

3D6 Probabilities

Here are the chances of rolling a given number or higher on 3 six-sided dice:

7 91%
8 84%
9 74%
10 63%
11 50%
12 38%
13 26%
14 16%

As you can see the odds drop pretty sharply on either side of the curve.

This curve makes the equipment bonuses very significant. In a d20 system +1 is only ever +5%. With this system +1 can be +13%. Also there's a 36% chance difference between rolling a 9 and rolling a 12.

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