Originally Posted by DragonSnooz
I just went and sampled Karmic Dice for Patch 9
Woo more data, thanks!

Individually, your 225 Normal Karmic Attack Rolls
Is inconsistent with a normal distribution, showing too many 20s and too few 2s through 9s. Chi^2 value of 42 compared to the critical 95% confidence value of 30.14.
Average of 12.38 +/- 0.36, compared with an expected average of 10.5

Combined with @Hrungr's data for 960 Normal Karmic Attack Rolls
Is inconsistent with a normal distribution, showing too many 18s, 19s, and 20s, and too few 2s through 9s. Chi^2 value of 128 compared to the critical 95% confidence value of 30.14.
Average of 12.34 +/- 0.19, compared with an expected average of 10.5

Your 224 Advantage Karmic Attack Rolls
Is overall statistically consistent with a normal distribution. However, there are 35% too few 20s, at 2.3-sigma. Chi^2 value of 20.1 compared to the critical 95% confidence value of 30.14.
Average of 13.96 +/- 0.28, compared with an expected average of 13.82.

Your 224 Disadvantage Karmic Attack Rolls
Is statistically inconsistent with a normal distribution, with too few 1s through 4s. Chi^2 value of 50 compared to the 95% critical value of 30.14.
Average of 9.45 +/- 0.37, compared with an expected average of 7.17.


In conclusion, having Advantage almost perfectly counteracts the effects of Karmic Dice, except you get less crits.
For all other distributions, Karmic Dice seems to raise the average roll by 2, making it less likely that you'll roll numbers below ~9.