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Quote from OwnagerD

Some calculations:

Expected dmg to Player characters per hit with r% all resistance reduce, a% armor reduce and d% dodge where r,a,d are in [0,1] (0 for nothing 1 for 100%)

Assume an expected dmg output H of a hit (can be computed out of min/max dmg and crit chance), then the received dmg is

(1 - a)(1 - r)*H (nothing random here). If we call H' the actual received dmg, then we have

P(H' = (1 - a)(1 - r)*H) = 1 - d, and P(H' = 0) = d (bernoullie random variable). The expected dmg for one hit is then

0*d + (1 - a)(1 - r)*H(1 - d)

Some values:

a = 0.5, r = 0.5, H = 500k (quite large) d = 0.3, then we get for the expected incoming damage

87500

Now this expectation does not tell us anything as the resulting damage would be either 0 or 125000, but if we repeat this experiment (same hit everytime) we can actually get something out of the expectation. So assume we want to execute the hit n times, the expectation is then

(1-a)(1-r)H(1-d)n (sum of single hits, linearity of expectation)

Examples

Assume we have 40k hp and we want to survive 10 hits, so we would like to have

(1 - a)(1 - r)H(1-d)10 < 40000

If we keep a,r,H , we have

125000*(1-d)*10 < 40000 => (1-d) < 0,032 => 0.968 < d, which was quite a large dodge rate. But it is not suprising as a 125000 hit would still get us killed, so we needed some high evasion. Going into a more realistic scenario, let H be 100000k (i suppose 500000 expected dmg per hit is quite large ? ), we get

(1 - a)(1 - r)H(1-d)10 = 175000 expected dmg for 10 hits, with 50% evasion 60% reduce (both types) we still expect to receive

80000 dmg and still can expect to be dead after 10 hits. 70% reduce (both types) goes to
45000 expected dmg after 10 hits, going for 60% evasion results in
36000

What is left?

Now, if some opponent has a high attack speed the game would still have quite short duration (as long as the one who is attacked does nothing ). The expected dmg on hit H is not the dps value, it is computed out of the min/max dmg and the crit chance (other modifiers for pure dmg on hit available that are not included in min/max?).

Reminder : The hitpoints can be replaced by effective hitpoints (considering lifeleech etc.) but the calculations remain the same.