Back a few weeks ago I looked up the average of 4d6 drop the lowest and came across 12.24, which is usefully correct for any player... but in design when you're looking to balance stuff, it isn't.
I trusted 12.24 (it's 12.2445) and saw the pattern half of (1d)6 is 3*4 (for dice rolled) is 12, with a remainder of 6/25, i.e. 1d6 dropping 25% and thought, "THERE MUST BE A CONNECTION!" 6hrs of playing with numbers later, there is not. It was just a coincidence.
Moral of the story: I need to do the math instead of just looking up think pieces that are rounding to the second digit.
Here's the average rolls of some d6's for fun.
I stopped at 7 dice to save my computer.
Solid average for d6's.
1d6 = 3.5
2d6 = 7
3d6 = 10.5
4d6 = 14
5d6 = 17.5
6d6 = 21
7d6 = 24.5
With Advantage of 1
1d6(A) = 4.47⅕
2d6(A) = 8.458⅓
3d6(A) = 12.2446
4d6(A) = 15.93094
5d6(A) = 19.56029
6d6(A) = 23.15412
1d6 with Advantage of n
1d6(A) = 4.47⅕
1d6(2) = 4.958⅓
1d6(3) = 5.244599
1d6(4) = 5.430941
1d6(5) = 5.560292
1d6(6) = 5.654117
Pardon the horrid spacing of my phone. Yeah, diminishing returns are a thing, but if you were curious, here you go!
Thanks! I was looking for the Advantage part the other day while considering the UA Savage Attacker feat. Nice to see them all laid out like this.
No problem!
Back a few weeks ago I looked up the average of 4d6 drop the lowest and came across 12.24, which is usefully correct for any player... but in design when you're looking to balance stuff, it isn't.
I trusted 12.24 (it's 12.2445) and saw the pattern half of (1d)6 is 3*4 (for dice rolled) is 12, with a remainder of 6/25, i.e. 1d6 dropping 25% and thought, "THERE MUST BE A CONNECTION!" 6hrs of playing with numbers later, there is not. It was just a coincidence.
Moral of the story: I need to do the math instead of just looking up think pieces that are rounding to the second digit.
Hahaha, fantastic story. Thanks again!
I started doing d4's... and I couldn't do 10d4's, because Excel didn't have enough rows.