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If the plus 1 gives a hit chance bonus(I assume so), I would say that is the stronger one.
Both of the above people gave in depth explanations of the figures, all saying the 1d12+1 is better.
Your conclusion = more dice is better.
Literally think of a dice. If you roll 1, you can get anywhere between the lowest and highest. Likewise, if you roll 2. If one dice has twice the range of the other 2 then the averages are roughly the same. Roll a 7 on 1 dice, or roll a 5 and 2 with 2 dice. It is the same.
The things to look for - what is the range of the dice being used. Is there a modifier.
In this case, yes. +1. Which means the 1d12 has a greater range than the 2d6 (literally by 1). This also affects hit chance. So you have a +1 to hit, +1 for damage.
Rule of Thumb - Just check the range then add the modifier. You want the larger range generally.
Personal Experience, I would say 2 D6 is better than 1 D12. While they can both amount to the same number, you're rolling 1 die, vs 2 die. Statistically speaking, I think your chances with a 2D6 are better, because you have just that, two dice, and not one.
A 1d12 can land anywhere between 1-12, where as a 2d6, always garuantee's a 2+ damage roll, though the odds of having a higher number, do seem to be lower, because the odds of rolling a max 12 out of 2D6 are lower. (again personally speaking).
I say this depends on your builds, not only DnD wise, but some of the 5e rules in this game apply as well.
One for example, would be "Great Weapon Mastery", a feature that allows you to reroll 1, and 2 damage rolls, but MUST take the next roll, while using a two handed weapon, so at the very least, you get a "Do-Over" with this type of fighting style.
I'm not too sure how it factors into this EA build all too much. But from personal Experience in this game, having my Main Character use a Great Axe+1, and having Lae'Zael using a Blue Long Sword (versatile currently using it as a two hander), they both seem to amount to around the same amount of damage per hit, which usually averages around to 13-15 dmg per hit (should they hit).
The only other factors in the EA I would be looking at is what the weapons actually give. Lae'Zael's Longsword while only doing 2D6 dmg per hit, give her the ability to cast shield of faith once every long rest (or maybe short rest I forget), which in all honesty is absolutely insane.
You have to kind of play with trade-off's when it comes to this sort of thing. My opinion though.
But yes I got the picture now ty.
If you are "lucky" and roll high more often than not, the D12 feels great, if on the other hand you feel like you roll crap, it feels terrible when you roll strings of low numbers, particularly when you roll critical hits and do less damage than a normal swing. Remember that this is all based on confirmation bias, on average it all evens out, but how a character feels is often more important than reality (imo)
e.g. 2d6 would produce more odds at landing 7 than 1d12 with dice bell curve.
https://www.dungeonsolvers.com/2015/05/16/basic-probability-aka-why-2d6-is-better-than-1d12/#:~:text=Using%20this%20formula%20we%20see,more%20consistent%20damage%20each%20hit.
Interesting.
Only if you get max damage each roll, which we all know doesn't happen.
It depends but the usual break down is this.
1dX = better % to high dmg, but also a similar % to hit low dmg.
2dX = Lower % to hit high dmg, but higher % to hit medium dmg, with a substancially lower chance to hit low dmg.
(Where X = the same total dmg)
2d6 is about 55.56% chance of hitting between 5-8 with the 1d12 having a 33.32% chance of hitting that range.
The 1d12 though has a 33.32% chance of hitting 9-12 while the 2d6 only has a 27.78% chance of hitting 9-12.
The 1d12 has a 33.32% chance of hitting 1-4 while the 2d6 has a 16.66% chance of hitting 2-4
Basically a 2d6 is for consistant mid dmg, while a 1d12 provides equal chances for low mid, or high dmg.