Luck influences everything in the game that is chance related, from evading attacks and afflictions, to scoring critical hits, determining the final damage between a "min-max" range, performing successful stealth or detection actions, haggling with NPCs, and so on. Every time a chance is "rolled", that chance is biased by the creature’s luck, which can either be positive (better chances), or negative (worse chances), and ranges between -1000 and +1000. Luck is determined by a creature’s Charisma.
Base = 0 for Human players, but can vary depending on creature type.
Bonus depends on the creature's Charisma:
-
-
Assuming a random roll with a certain Chance to succeed (e.g. 25%, represented as 0.25), Biased Chance is the actual success chance altered by the player's Luck.
![\color [rgb]{0.7058823529411765,0.6274509803921569,0.5490196078431373}{\text{Luck}}=[-250+Base+(CHA*(25+Bonus))]](https://wikimedia.org/api/rest_v1/media/math/render/png/9f23cd636bd3772585ba509e7967ec5fb341e377)
![\color [rgb]{0.7058823529411765,0.6274509803921569,0.5490196078431373}{\text{Charisma}}<20\to {\text{Bonus}}=0](https://wikimedia.org/api/rest_v1/media/math/render/png/27ae145710fa04b5cb6e4e6afc69e326e1357403)
![\color [rgb]{0.7058823529411765,0.6274509803921569,0.5490196078431373}{\text{Charisma}}>=20\to {\text{Bonus}}=10](https://wikimedia.org/api/rest_v1/media/math/render/png/ec1d03c1b10d59cedb8ae69c5297521ad026d5ab)
![\color [rgb]{0.7058823529411765,0.6274509803921569,0.5490196078431373}\triangle =Chance-Chance^{(1+{\tfrac {Luck}{1000}})}](https://wikimedia.org/api/rest_v1/media/math/render/png/35e996b0201ca9409cde0a9e0a45fb6d4133d66f)
![\color [rgb]{0.7058823529411765,0.6274509803921569,0.5490196078431373}{\text{Biased Chance}}=Chance+\triangle](https://wikimedia.org/api/rest_v1/media/math/render/png/d858b16ec140a317cdcaf078f605ff1fd317dee4)