And sometimes you will hit 0 times. So what. When discussing math in these discussions, you have to use the average or the discussion is worthless.
Yes, but it’s important when discussing the average to understand what that actually
means. It does
not mean you’ll hit one more time out of every 5 encounters, and it does
not mean you’ll do 1 more damage every encounter. It means, you will hit slightly more often and do slightly more damage when you hit, which if you spread out that increase evenly across the character’s career, would work out to be about 1 more damage per encounter.
You won't even notice an impact. Maaaaaaaaaybe, pooooooooosibly, a monster will be exactly where you need for that 1 hit point to kill it. It's 1) extremely rare, and 2) nothing the player will be able to see in any case.
But, again, it won’t actually
be one more damage per encounter. What it will actually be is that some encounters it will make no difference at all, and some encounters it will make a significant difference. Where it’s most likely to make the most difference is in encounters against high AC enemies, which is also exactly where such a difference will be most valuable.
All data to the contrary.
The long term is not relevant. 20,000 extra damage over 20,000 combats = trivial.
Depends how it’s destributed. 1 damage each in 20,000 encounters would indeed be pretty trivial, but that’s not what actually happens. What actually happens is that you hit slightly more often, especially against harder-to-hit enemies, and when you hit, you do more damage, which compound each other to make your character meaningfully more effective over the course of their career.
It's not going to impact any single combat which is where you measure the impact.
It will impact some single combats. It won’t impact others. But overall, the effect will be meaningful.
Right, and individual encounters are where you measure it. 20,000 encounters with no impact in any encounter = trivial extra damage. The 20,000 over a campaign just serves to falsely impress and mislead those who think it matters.
Again, this just isn’t how math works.