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**WWJDFTW**:

What is the exact formula for dodge stacking and crit chance stacking? I had a Katarina who should've had over 100% dodge (Phantom Dancer, Ninja Tabi and lv 5 KI-boosted Shunpo=20%+11%+70%=101%), but a Gangplank hit me with parrrley even though he didn't have a Sword of the Divine.

Dodge is calculated using the following formula:

chance you will be hit = (1 - x1) * (1 - x2) * (1 - x3) * (1 - x4) ...

Where the 'x's are your dodge values (from items/masteries/etc.). To get your final dodge value, subtract the result from 1.

There is a general consensus that Dodge is subject to diminishing returns - this is wrong. The multiplicative scaling creates a linear scaling with survivability, not a diminishing one. Each point of Dodge you gain is as effective as the last in terms of increasing your survivability against physical attacks.

In fact, for those of you mathematically inclined, you may notice that you gain more than linear survivability per Dodge bonus. This is because the Dodge bonuses are not infinitely small. Adding 1% Dodge 50 times gives 39.5% Dodge which is relatively close to 33.3% which would have generated a 50% increase in survival time. However, if you gain a single, 50% bonus to Dodge, your dodge becomes 50%. This generates a 100% increase in survival time, much greater than a linear gain. Another 50% bonus would behave in the same way, this time making you dodge 75%. This eliminates half of the remaining attacks against you, doubling your current survivability for a total of 300% increase (because only 1/4 of the attacks are hitting you).

Another way to look at this is through absurdly high dodge values. At 99% Dodge a .5% increase (half of the remaining attacks) would

*double* your projected survivability. However, you would need a single 50% bonus to generate that .5% when your Dodge is already so high. But, as you can see, that 50% bonus is just as effective as if you got it without any other Dodge.

Critical Strike chance, on the other hand, stacks additively. It has a hard cap at 100%.