Upgrade your account to a Community Supporter account and remove most of the site ads.
Rocket your D&D 5E and Level Up: Advanced 5E games into space! Alpha Star Magazine Is Launching... Right Now!

Reply to thread

Message: <blockquote data-quote="EzekielRaiden" data-source="post: 8695684" data-attributes="member: 6790260">Yes, but everyone crits on a 20. There is no extra damage for Champions from crits on 20s because everyone gets that. The only bonus is when they get a 19 (or 18 at high level), because that gives a crit that the non-Champion would not get. We can ignore any static damage dice contribution because, in general, if a creature can be hit at all, then all three of 18, 19, and (automatically) 20 will hit. So the only difference in damage between a Battle Master and a Champion is that the former gets Superiority Dice and the latter gets 1 extra crit (on average) every 20 swings. GWF is the most favorable style to Champions because it affects the damage rolls, not static values which are not increased by critical hits. And, as noted, I am pretending that the BM never holds onto Superiority Dice trying to spend them on a crit (where the extra dice will also be increased.)Hence, 5% of the time (or 10% at high level), the Champ gets their weapon's base damage dice as bonus damage. This means, on average, they get 5% (10% yadda yadda) of their weapon's base damage as bonus damage per swing; over the course of a large number of short rests, the central limit theorem shows that all but a statistically insignificant group of outliers will trend towards this mean bonus per swing. The BM, meanwhile, gets exactly 4d8 dice (rising with level to eventually be 6d12.) As shown, the Champion needs at absolute least 20 combat rounds between short rests in order to catch up with the BM's damage bonus at most levels (at very high levels it becomes more like 12-16 combat rounds between short rests.)</blockquote>

Verification