Sadly i don't exactly know how killrates on 16% wr get calculated. Inputs on that would be welcome

the luckmodifier tells you the weight thats been given to the outcome of the randomly generarted number of armies you kill with your attc/defense.

Those kills are calculated with a binominal distribution:

each attacing/defending army has a chance of attckillrate/defensekillrate to kill 1 enemy army, resulting in (p over k)*(p^k)*(1-p)^(n-k) chance to kill EXACTLY (if you search for the chance of killing at least k armies, you need to sum up all those who kill at least k) k armies (k in [0,n]), where p is the offenskillrate/defensekillrate.

The random outcome you got will then be weighted with the luckmodifier. the rest (1-luckmodifier) will be the expected valuce (#attcers*attckillrate, equivalent for defense):

(random value)*luckmodi+(1-luckmodi)*(expected value) is your outcome.

the outcome can now, as always, be rounded using WR or SR, same as usual.

if you are intrested in when an attc, using luckmodi, is 100% safe, all you need to do is assume all your armies failed to kill an enemy (chance for that is (1-killrate)^(#attacers) ).

Meaning (1-luckmodi)*(expected value) rounded (WR or SR) has to be at least as high as the number of armies you want to kill.

Edited 8/28/2016 15:52:23