That didn't end up being much of a nutshell, did it?
I just used combinatorics and, in our specific scenario, found the probabilities, to determine how much damage the fighter would expectedly benefit from during 20 rounds of combat. If you do the math for our particular scenario, I would be interested to see if the results jibe. If not, no worries.![]()
This is based on the level 11 characters in FrogReaver's table? So, maxed STR, dueling style, vs AC 17, no relevant feats?
Yep. It sprung from my comparison of the general classes of Fighter vs. Paladin, with action surge vs divine strike. I was looking at 20th level, but his was at 11th so I just went with that.
I just used combinatorics and, in our specific scenario, found the probabilities, to determine how much damage the fighter would expectedly benefit from during 20 rounds of combat. If you do the math for our particular scenario, I would be interested to see if the results jibe. If not, no worries.![]()
Actually, that's wrong. I found some errors in my code; the right number (unless I didn't find them all) is 171 damage added, for a total of 687. It turns out that for this particular AC, since the precision range lines up perfectly with the bottom of the d20 range, winding up with dice leftover is associated with higher damage than using them all, since almost all rolls outside the triggering range are already hits (the only roll that isn't is a nat 1). So you end up averaging an extra 11.4 damage per die (almost your full DPH) compared to not having precision attack, even though your average damage on attacks where you actually use a die is lower than that.
I love you guys. The stats are important to me and I love them, but I have neither the time, nor inclination, nor, to be honest, skills, to run complex probability. I have great skills with massed d6 rolling and that's about it (quick, guess my other hobby...). So, from all of us following along at home, thanks for being mathematically inclined. Now back to our regular programming...