Combining Two Dice Pools

Thu Aug 4 04:00:49 2016 by Weylin Stormcrowe

I am working on a system using a dice pool system and am not sure how to calculate probability.

The system uses two pools of d6: One for Attribute and one for Skill. They are rolled against different set TN (Attribute is TN 6, Skill is TN 5). I have calculated the probability for each pool on its own. But i don't know how to combine them into a chart.

For example Attribute 2 + Skill 2 (2d6, TN 6 + 2d6, TN 5).

How do I combine these or what formula do I use in the program.

Thu Aug 4 11:13:30 2016 by Torben

Something like:


A := 2d6; \ attribute pool
S := 2d6; \ skill pool
TA := 6; \ attribute target
TS := 5; \ skill target
(count TA <= A) + (count TS <= S)

Thu Aug 4 14:56:48 2016 by Weylin Stormcrowe

Thanks very much, Torben

Fri Oct 20 02:58:26 2017 by Weylin Stormcrowe

How do I expand this formula so that if using d10s for skill, a "10" counts as two successes?

Fri Oct 20 10:10:29 2017 by Torben

Something like:


A := 2d6; \ attribute pool
S := 2d10; \ skill pool
TA := 6; \ attribute target
TS := 5; \ skill target
(count TA <= A) + (count TS <= S) + (count 10 = S)

So I first count the skill dice that are over target, and then add the count of those that are equal to 10 (so these are counted twice).

Fri Oct 20 19:43:03 2017 by Weylin Stormcrowe

Thank you very much, Torben

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