Critical hit chance is independent of target

@Chris

I apologize if this is old news, but I was looking at the formulas for hit, crit, glancing blow, and dodge chance in the post linked below and found something very interesting. At first glace, those formulas seem to imply that your actual critical hit chance will depend not only on your critical hit score, but also the dodge, glancing blow, and normal hit chance scores. However, consider this:

Define p to be the raw crit chance calculated as in the linked post and written as a decimal.
Define C = DS + NHS + GBS (DS, NHS, and GBS are defined in the linked post).

Then your critical score, CS, can be written as:
CS = p * C

and,

actual crit chance = CS / (C + p * C)
= (C * p) / (C * (1 + p))
= p / (1 + p)

Wow right!!! Your actual crit chance only depends on your raw crit percentage, and it is such that it reduces the raw percent chance since the denominator is always bigger than one. A raw percentage of 15% will always lead to an actual crit chance of 13% as in the linked post's example, regardless of the other values of DS, NHS, and GBS! The reduction gets more severe as the raw percentage increases, e.g. a raw crit chance of 25% would get reduced to an actual crit chance of 20%, and a raw crit chance of 100% would get reduced to an actual crit chance of 50%. Can anyone say diminishing returns?

The bottom line is that dodge, hit, and glancing blow chance all depend on the target (through the target's dex being used in the calculation of DS), but your actual critical hit chance should be independent of the target.

So Chris, can this be right? Do you actually get the same percentage of your attacks being crits against a dragon as you would say a training dummy?

https://www.shroudoftheavatar.com/f...ts-talk-damage-avoidance.126061/#post-1041750