FieserMoep
Explorer
Advantage gets you something around ~3,3 and reduces you deviation by ~1 while it increases the odds of rolling your critical range too (4,75% if you only crit on a 20).
Maybe I'm doing it wrong; help me check my spreadsheet.
Column 1 picks a number between 1 and 20 (inclusive).
Column 2 picks another number between 1 and 20 (inclusive).
Column 3 chooses the minimum value between the two.
Column 4 chooses the maximum value between the two.
Column 5 determines the difference between min and max.
I copy that across 10,000 rows, and average the results in Column 5. It gives me 6.6.
This really does hit the heart of the matter. I have no idea why so many of the players want there to be a mechanical bonus to flanking in the first place. At a guess: they prefer D&D to be more of a combat simulation or a board game, and less of an RPG.I think I would spend some time thinking about why I really want there to be a mechanical bonus to flanking in the first place and then see if that reveals something more basic I'm seeking from the game (such as more tactical options or whatever). At that point, other ideas to satisfy that need may present themselves, ideas that are better than the variant rule in the DMG or anything similar.
I remember this from a while ago. His spreadsheet measures the average value of a d20 roll with advantage...not the straight difference between two rolls. In other words, his spreadsheet rolls two dice, and then records the value of the higher dice. He does this a million times, and gets the average result of that higher value. He does that for the lowest as well. Then he subtracts the average low from the average high, to get an average difference. The problem is, he uses average results instead of real numbers, and average results are approximations. And subtracting one approximation from another approximation only compounds the error. (Roll however many times you like, you will never see an instance where the difference between Roll 1 and Roll 2 is 13.825, but that's the number he uses.)It involves where most target numbers clump around. You can see some of it briefly here.
in 4e you got a +2 bonus to hit Personally that seems to small to me. Ever tried to fight two people at once. It ain't like the movies I will tell you that. I thank advantage is actually more realistic