I am playing a fighter in a (heavily homebrewed) D&D campaign. The way the DM and I have created my character she has the option of using her main weapon, a quarterstaff, either one handed or two handed.
One Handed: 1d8 + 6
Two Handed: 1d10 + 4
At the moment the two have an identical +9 to hit. I took dueling as my fighting style so have a +2 to the one-handed attack.
To my (mathematically challenged) eye this seems fairly useless since the two are nearly identical in damage. I'd like to argue for a different setup but I would like some hard numbers to show to my DM to argue my case (or perhaps show me that I'm totally wrong).
What is the average amount of damage each of those attacks will do?