Talk:Critical Hit/@comment-72.143.82.158-20181205153633

Some interesting math behind Crits, the Crit Damage stat is more valuable when your base crit multiplier is lower.

Consider if you have a weapon that has base 75 damage with 20% crit chance and 4.0 crit multiplier. In this case, crits cause average damage to be 75 + 75 * 20% * (4.0 - 1) = 120. Adding 100% crit chance from mods increases crit chance to 40% which increases the bonus damage from crits by 100%, it will now deal 75 + 75 * 40% * (4.0 - 1) = 165 damage. The same thing can be achieved by having a crit multiplier of 7.0, which causes damage to be 75 + 75 * 20% * (7.0 - 1) = 165. However this only requires using 75% crit damage from mods instead of 100% crit chance from mods.

Now consider if you have a weapon that has base 100 damage with 20% crit chance and a 2.0 crit multiplier, notice that 100 + 100 * 20% * (2.0 - 1) = 75 + 75 * 20 * (4.0 - 1) = 120. Obviously crit stats are less effective, a 100% increase in crit chance from mods gives only 100 + 100 * 40% * (2.0 - 1) = 140 damage. However a 75% increase in crit damage from mods which was previously equivalent now gives 100 + 100 * 20% * (3.5 - 1) = 150 damage.

When the bonus damage from crits are considered, crit multiplier has to be observed by subtracting 1 but crit damage stat does not consider this. When comparing the value of crit chance vs the value of crit damage, the crit damage stat should simply be multiplied (2 - 1 / base crit multiplier) before comparing to crit chance. With a 2.0 crit multiplier, 100% crit multiplier from mods is equivalent to 100% * (2 - 1 / 2.0) = 150% crit chance irrelevant of what the base crit chance is.