Luck

Luck is a mechanic that rolls an outcome or a number in a range twice, with Lucky rolls applying the best result, and Unlucky rolls applying the worst result.
Modifiers that specify Damage or when Damaging and luck refer specifically to damage ranges after any increased/more modifiers (or "tooltip damage range"), not to the base damage of the weapon/skill. These stats do not affect other mechanics like chance to hit/accuracy or critical hit chance.[1] Additionally, these stats only apply to hit damage, and have no effect on the damage roll of damage over time from damaging ailments, which roll entirely independently of the hit damage's roll.[2]
Lucky and Unlucky modifiers affecting the same stat or mechanic will cancel each other out.[3]
Binary Rolls
A binary roll applies to something with only two choices such as chance of hitting, critical strikes, or chance of blocking. The Lucky or Unlucky chance can be calculated from your original chance with the following formulas:
For example, the lucky critical strike chance for a critical strike chance of 40% could be calculated as follows:
So a crit chance of 40% will give a lucky crit chance of 64%.
Original chance | Lucky chance | Unlucky chance |
---|---|---|
10% | 19% | 1% |
25% | 43.75% | 6.25% |
50% | 75% | 25% |
75% | 93.75% | 56.25% |
90% | 99% | 81% |
Note that if a roll has 0% or 100% chance, lucky and unlucky will have no effect.
Damage in a Range
Lucky Damage
Without luck, the average or expected value for a damage roll is .
A lucky roll has expected value .
The extra damage luck adds is a sixth of the range, or .
The average damage is effectively nudged closer toward the max damage, and further from the minimum damage. This means that the larger the range, the more effect luck will have.
Example 1:
You use an attack with a damage range of 600-800, for an average of . The range, or difference between minimum and maximum, is . The bonus damage will be so your new average damage is To calculate how much more damage this is, which means a 4.7% increase.
You can calculate how much more damage lucky will provide as a percentage directly as .
Example 2:
You use a spell with a damage range of 100-1000, for an average of and range of . Adding lucky will give more damage.
If your minimum damage is 0 this gives a 33% more multiplier. As the minimum damage increases this scales down to a 0% more multiplier when the minimum damage equals the maximum.
Unlucky Damage
Unlucky damage nudges the damage the opposite way, giving an expected value , which has subtracted a sixth of the range from the original average.
Making damage unlucky will give a less damage multiplier equal to the more damage multiplier that lucky would give, so the same formula as above can be used.
Related items
Unique items
The following unique items are related to Luck:
Item | Base item | ![]() | Stats |
---|---|---|---|
The Barrow Dweller![]() Rogue ArmourArmour: 53 Evasion: 43Requires Level 11, 14 Str, 14 Dex(60-100)% increased Armour and Evasion +(-20--10)% to Fire Resistance +50% to Cold Resistance Damage of Enemies Hitting you is Unlucky while you are on Low Life 50% chance to Avoid Death from HitsIn the mists they dwell, forever hungry, forever cold. ![]() | Rogue Armour | 11 | (60-100)% increased Armour and Evasion +(-20--10)% to Fire Resistance +50% to Cold Resistance Damage of Enemies Hitting you is Unlucky while you are on Low Life 50% chance to Avoid Death from Hits |
The Burrower![]() Topaz RingRequires Level 32+(20-30)% to Lightning Resistance-10% to Cold Resistance +(20-30)% to Lightning Resistance (30-50)% increased Mana Regeneration Rate Lightning Damage of Enemies Hitting you is UnluckyIt coils deeper and deeper It slithers between thoughts It lies beneath the valley It lies in our minds ![]() | Topaz Ring | 32 | +(20-30)% to Lightning Resistance-10% to Cold Resistance +(20-30)% to Lightning Resistance (30-50)% increased Mana Regeneration Rate Lightning Damage of Enemies Hitting you is Unlucky |
Svalinn![]() Crucible Tower ShieldShield Chance to Block: 26% Armour: 110Requires Level 84, 83 StrGrants Skill: ![]() Grants Skill: ![]() -(10-20)% to maximum Block chance Block chance is LuckyThe priests found the Great Shield the night it fell to Middengard, but it was the smiths who delved into the secrets it held. ![]() | Crucible Tower Shield | 84 | Grants Skill: ![]() Grants Skill: ![]() -(10-20)% to maximum Block chance Block chance is Lucky |
Related passive skills
Passive skills
The following passive skills are related to Luck: Lua error: Error: Table passive_skills not found..
Ascendancy passive skills
The following Ascendancy passive skills are related to Luck: Lua error: Error: Table passive_skills not found..
Keystone passive skills
The following keystone passive skills are related to Luck: Lua error: Error: Table passive_skills not found..
Related modifiers
The following modifiers are related to Luck: No results found
References
- ↑ Mark_GGG (May 13, 2013 4:01 AM). "p/c new ring lori's lantern". Path of Exile Forum. Retrieved September 22, 2013.
- ↑ Confirmed through direct testing by Prohibited Library (community). https://discord.com/channels/991073626721763429/991092346651287623/1165229624595316807
- ↑ https://www.pathofexile.com/forum/view-thread/3108809/page/1#p24083466