anyone knows an easy way to find the limits for the 100% luck .

[0; attackers]

thnx .it was simple ;D

another limit is that 200d3 will never come up all 3s, not in any lifetime we might meet

I wish we could have 1000% luck. or -100% luck. would be fun

On 100% luck, every attacker has "attack rate" chance to kill 1 troop. Armies killed are binomial distribution. You can never guarantee that you will killa at least 1 troop, but the chances approach 100% with # of attacking armies.

@For Fun: The formula for your kills is "Kills = (SR * L) + (EXP * (100%-L))"
with
SR = successful rolls. Each attacking army usually has a 60% chance of being a successful roll for example.
L = luck in percent
EXP = the expected amount of kills, for example 100*0.6 = 60 expected kills.

In your example the luck is 100%, so the formula can get simplified to Kills = SR. So without any successful rolls, the amount of Kills becomes 0. So the other answers have been correct.

Edited 5/13/2023 21:02:07

cool formula