Rappelz : The 3 crit rule revealed
Here are the numbers.
First we have to examine it over a period of 3 attacks. As such, there are 8 scenarios (2^3). Assuming a base damage of 1, crit power 80%, crit ratio 6%.
1,1,1: p=(1-0.06)^3 1,1,1.8: p=((1-0.06)^2)*0.06 1,1.8,1: p=(1-0.06)*0.06*(1-0.06-0.3) 1,1.8,1.8: p=(1-0.06)*0.06*(0.06+0.3) 1.8,1,1: p=0.06*(1-0.06-0.3)*(1-0.06) 1.8,1,1.8: p=0.06*(1-0.06-0.3)*0.06 1.8,1.8,1: p=0.06*(0.06+0.3)*(1-0.06-0.3) 1.8,1.8,1.8: p=0.06*(0.06+0.3)*(0.06+0.3)
Verify: Sum(p1-p8)=1 (Do it yourself)
Mean value of the damage: {[i=1-8]Sum(di*pi)} = 3.1771016 Mean damage per hit: 1.059 Without 3 crit rule damage = (0.94*1 + 0.06*1.8)*3 = 3.144 Mean damage per hit: 1.048
Conclusion: The 3 crit rule gives 3.1771016/3.144 ~= 1.05% more damage.
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