(Originally posted June 2009)

I had this idea for a dice system on the way home, designed for a low-granularity game:

For most rolls, you roll a d6 and a d8 and keep the highest result.
For rolls where you are skilled, you add a d10, still keeping the highest result.
For rolls where you spend a drama point, you add a d12, still keeping the highest result.
If you are specifically limited on the roll (hurt, have a flaw, etc.) you drop the d8.

Success is a roll equal or greater than the target number.
Critical is a roll equal or greater than the target number where you also got a 6 on the d6.
Failure is a roll less than the target number.
Fumble is a roll less than the target number where you also got a 1 on the d6.

If your highest result was less than the total number of dice you’re rolling (e.g., you roll a 3 on all four dice), you get a drama point.

If I did the probabilities right, they look like this:

Average Roll 2+ 4+ 6+ 8+ 10+ 12+
d6 3.5 83% 50% 17%
d6+d8 5.23 98% 81% 48% 13%
d6+d8+d10 6.77 100% 94% 74% 39% 10%
d6+d8+d10+d12 8.29 100% 99% 89% 64% 33% 8%
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