Here are all my numbers rounded to the second place after the decimal point, from the spreadsheet:
Average of best of 2d20: 13.83
Average Improvement over 1d20: 3.33
Odds of critical: 9.75%
Crit odds improvement over 1d20: 4.75%
Average of best of 3d20: 15.49
Average Improvement over 1d20: 4.99
Average Improvement over 2d20: 1.66
Odds of critical: 14.26%
Crit odds improvement over 1d20: 9.26%
Crit odds improvement over 2d20: 4.51%
Average of best of 4d20: 16.48
Average Improvement over 1d20: 5.98
Average Improvement over 2d20: 2.66
Average Improvement over 3d20: 1.00
Odds of critical: 18.55%
Crit odds improvement over 1d20: 13.55%
Crit odds improvement over 2d20: 8.80%
Crit odds improvement over 3d20: 4.29%
I know this is an old thread, but this really struck me as a mechanic of advantage/disadvantage. I too am concerned with over use of adv/dis, but stacking them seems like a winner. Instead of saying you have advantage, say you gain one advantage die or you gain 1 disadvantage die. We add up flat bonuses all the time so this should be just as easy.
So Bless, for instance, could negate 1 disadvantage die, Bane negates 1 advantage die. Most Conditions(stunned, blinded, etc.) generally do not overlap so there shouldn't be to much adv/dis inflation from them. And most spells cause a Condition, so that should keep things in check.
Having said that, I do believe prone, among other conditions should have flat penalties.
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