Jiggy RPG Superstar 2012 Top 32 |
I have another task for those forumites who enjoy mathy stuff. :)
So let's say I have a character named Alice. She attacks once per round at +15 to hit and deals 2d6+20 damage on a hit. (For my reference: 10+5+5)
Now let's say I also have a character named Bob. He can attack twice per round. Each attack is at +11 to hit for 1d6+14 damage.
Now suppose I have a third character, this one named Charlene. She can attack four times per round. Each attack is at +11 to hit and deals 1d6+8 damage.
Against target ACs of 15, 20, and 25; what is the average damage per round for each of these characters? Please do not factor in crits.
Thanks in advance!
blahpers |
(Edit: Ninja'd, but at least it's confirmation)
If I did this wrong, someone will likely point it out.
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Alice (+15, 2d6+20)
Expected damage per hit = 27
Number of attacks: 1
---
AC 15:
Hits on a 2 or better
Chance to hit = 95%
Expected damage per attack = 25.65
Expected damage per round = 25.65
AC 20:
Hits on a 5 or better
Chance to hit = 75%
Expected damage per attack = 20.25
Expected damage per round = 20.25
AC 25:
Hits on a 10 or better
Chance to hit = 55%
Expected damage per attack = 14.85
Expected damage per round = 14.85
---
Bob (+11, 1d6+14)
Expected damage per hit = 17.5
Number of attacks: 2
---
AC 15:
Hits on a 4 or better
Chance to hit = 85%
Expected damage per attack = 14.875
Expected damage per round = 29.75
AC 20:
Hits on a 9 or better
Chance to hit = 60%
Expected damage per attack = 10.5
Expected damage per round = 21.0
AC 25:
Hits on a 14 or better
Chance to hit = 35%
Expected damage per attack = 6.125
Expected damage per round = 12.25
---
Charlene (+11, 1d6+8)
Expected damage per hit = 11.5
Number of attacks: 4
---
AC 15:
Hits on a 4 or better
Chance to hit = 85%
Expected damage per attack = 9.775
Expected damage per round = 39.1
AC 20:
Hits on a 9 or better
Chance to hit = 60%
Expected damage per attack = 6.9
Expected damage per round = 27.6
AC 25:
Hits on a 14 or better
Chance to hit = 35%
Expected damage per attack = 4.025
Expected damage per round = 16.1
bookrat |
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The damage formula is h(d+s)+tchd.
h = Chance to hit, expressed as a percentage
d = Damage per hit. Average damage is assumed.
s = Precision damage per hit (or other damage that isn't multiplied on a crit). Average damage is again assumed.
t = Chance to roll a critical threat, expressed as a percentage.
c = Critical hit bonus damage. x2 = 1, x3 = 2, x4 = 3.
To exclude crits, just remove the +tchd part.
For h, we need to assume an AC. Let's assume AC 20.
Alice needs a 5 to hit AC 20, so she has a 75% chance to hit.
0.75(26) = 19.5 DPR
Bob needs a 9 to hit each time, so he has a 60% chance to hit.
0.60(17) x 2 = 26.4 DPR
Charlene aslo needs a 9 to hit, so she has a 60 % chance to hit.
0.60(11) x 4 = 24.2 DPR
Percent chance to hit is based on adding up 5% for each qualifying number on a d20 roll. if you need a 9, that's 12 different numbers you could roll (9-20); 5 x 12 = 60.
Matthew Downie |
If I did this wrong, someone will likely point it out.
---
Alice (+15, 2d6+20)
Expected damage per hit = 27
Number of attacks: 1
---
AC 20:
Hits on a 5 or better
Chance to hit = 75%
Expected damage per attack = 20.25
Expected damage per round = 20.25
Minor error here: hitting on a 5 or better = 80% hit chance. Thac20's average DPR = 21.6 was correct.
Jiggy RPG Superstar 2012 Top 32 |
BigDTBone |
Just for you, Jiggy A little webpage of my own creation.
You can set the CR with the drop down box and it will change the AC, or you can just type in the AC. But if you type it in, then you will have to refresh the page before the dropdown box works again. :)
EDIT: If you dont want it to factor crits, then make the "crit multiplier" box = 1. That will remove all crit damage from the calculation.
blahpers |
blahpers wrote:Minor error here: hitting on a 5 or better = 80% hit chance. Thac20's average DPR = 21.6 was correct.
If I did this wrong, someone will likely point it out.
---
Alice (+15, 2d6+20)
Expected damage per hit = 27
Number of attacks: 1
---
AC 20:
Hits on a 5 or better
Chance to hit = 75%
Expected damage per attack = 20.25
Expected damage per round = 20.25
Good catch. I checked that one three times and still missed it.
Jiggy RPG Superstar 2012 Top 32 |
Just for you, Jiggy A little webpage of my own creation.
You can set the CR with the drop down box and it will change the AC, or you can just type in the AC. But if you type it in, then you will have to refresh the page before the dropdown box works again. :)
EDIT: If you dont want it to factor crits, then make the "crit multiplier" box = 1. That will remove all crit damage from the calculation.
Okay, that's pretty spiffy. Thanks!
ZanThrax |
Just for you, Jiggy A little webpage of my own creation.
You can set the CR with the drop down box and it will change the AC, or you can just type in the AC. But if you type it in, then you will have to refresh the page before the dropdown box works again. :)
EDIT: If you dont want it to factor crits, then make the "crit multiplier" box = 1. That will remove all crit damage from the calculation.
BigDTBone, the page hasn't been working for a little while now. Dunno if you were already aware or not.
BigDTBone |
BigDTBone wrote:BigDTBone, the page hasn't been working for a little while now. Dunno if you were already aware or not.Just for you, Jiggy A little webpage of my own creation.
You can set the CR with the drop down box and it will change the AC, or you can just type in the AC. But if you type it in, then you will have to refresh the page before the dropdown box works again. :)
EDIT: If you dont want it to factor crits, then make the "crit multiplier" box = 1. That will remove all crit damage from the calculation.
I made a post about it here. Shoot me a PM with you email address and I'll send you the excel sheet. Alternatively stay tuned to the other thread and I'll post when I get the new page up. Probably in about 2 weeks or so.