The following table shows the probability of various die results using the Aberrant system.
# of dice Chance of N Successes Avg #S Botch Fail 1 2 3 4 5 1d 10% 50% 40% 0% 0% 0% 0% 0.4 2d 11% 25% 48% 16% 0% 0% 0% 0.8 3d 9% 13% 43% 29% 6% 0% 0% 1.2 4d 7% 6% 35% 35% 15% 2% 0% 1.6 5d 5% 3% 26% 35% 23% 8% 1% 2.0 6d 3% 1% 19% 31% 28% 14% 4% 2.4 7d 2% 1% 13% 26% 30% 20% 8% 2.8 8d 1% 0% 9% 21% 28% 24% 12% 3.2 9d 1% 0% 6% 16% 25% 25% 17% 3.6 10d 1% 0% 4% 12% 22% 25% 21% 4.0
Botching has two features: first that the chance goes up slightly with dice before dropping. Second, that the chance of botching relative to normal failure goes up with dice. i.e. If you are very good at an action, if you fail you are very likely to botch.