Support Gem Quality /1
Support Gem Quality /1
| Item | Type | Stats | Weight |
|---|---|---|---|
| Controlled Destruction Support | Divergent | Supported Skills have (0–10)% chance for Damage with Hits to be Lucky | 100 |
Item mods /1
Item mods /1
| Name | Level | Pre/Suf | Description | Spawn Weight |
|---|---|---|---|---|
| 45 | ScourgeDownside | Damage with Hits is Unlucky | amulet 500 default 0 |
Veiled mods /1
Veiled mods /1
| Name | Level | Pre/Suf | Description | Spawn Weight |
|---|---|---|---|---|
| of the Order | 60 | Suffix | Your Critical Strike Chance is Lucky while Focused Focus has (5–8)% increased Cooldown Recovery Rate grant focus skill [1] critical | belt 1000 default 0 |
Crafting Bench /1
Crafting Bench /1
| ID | Mod | Require | ItemClasses | Unlock |
|---|---|---|---|---|
| Jun | Your Critical Strike Chance is Lucky while Focused grant focus skill [1] | 9x  Orb of Alteration | Belt | Unveil |
Harvest Seed /18
Harvest Seed /18
| Name |
|---|
| Augment a non-Influenced Magic or Rare item with a new Caster modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Physical modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Fire modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Speed modifier with Lucky values |
| Reforge a Rare item with Lucky modifier values, keeping all Prefixes |
| Reforge a Rare item with Lucky modifier values, keeping all Suffixes |
| Reroll the values of Prefix modifiers on a Magic or Rare item, with Lucky modifier values |
| Reroll the values of Suffix modifiers on a Magic or Rare item, with Lucky modifier values |
| Reroll the values of Prefix, Suffix and Implicit modifiers on a Rare item, with Lucky modifier values |
| Augment a non-Influenced Rare item with a new modifier, with Lucky modifier values |
| Augment a Magic or Rare item with a new Influence modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Attack modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Cold modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Life modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Critical modifier with lucky values |
| Augment a non-Influenced Magic or Rare item with a new Defence modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Lightning modifier with Lucky values |
| Augment a non-Influenced Magic or Rare item with a new Chaos modifier with Lucky values |
Item /1
Item /1
| Icon | Name |
|---|---|
 | Sanctified Fossil Stack Size: 1 / 10Numeric modifier values are lucky High Level modifiers are more common |
Unique /8
Unique /8
| Name | Show Full Descriptions |
|---|---|
 | Lori's Lantern Prismatic Ring +(8–10)% to all Elemental Resistances+10% to all Elemental Resistances (6–8)% increased Movement Speed when on Low Life 31% increased Light Radius +(20–25)% to Chaos Resistance when on Low Life Damage of Enemies Hitting you is Unlucky while you are on Low Life (You are on Low Life if you have 50% of your Maximum Life or less) (Unlucky things are rolled twice and the worst result used) |
 | Fox's Fortune Wild Leather +(20–30) to Dexterity Adds 5 to 12 Physical Damage to Attacks +1500 to Evasion Rating while on Full Life +(400–500) to Evasion Rating (120–150)% increased Evasion Rating 10% increased Movement Speed Damage of Enemies Hitting you is Unlucky while you are on Full Life (Unlucky things are rolled twice and the worst result used) |
 | Coward's Chains Chain Belt +(9–20) to maximum Energy Shield+(15–20) to all Attributes (5–10)% increased Movement Speed Damage of Enemies Hitting you is Unlucky while you are Cursed with Vulnerability You count as on Full Life while you are Cursed with Vulnerability You are Cursed with Vulnerability, with 40% increased Effect (Attributes are Strength, Dexterity, and Intelligence) (Unlucky things are rolled twice and the worst result used) |
 | The Iron Fortress Crusader Plate +1% Chance to Block Attack Damage per 50 Strength Chance to Block Spell Damage is Unlucky +(60–120) to Strength (80–100)% increased Armour 10% reduced Movement Speed Strength's Damage Bonus instead grants 3% increased Melee Physical Damage per 10 Strength (Unlucky things are rolled twice and the worst result used) |
 | Perquil's Toe Gold Amulet (12–20)% increased Rarity of Items found+(40–50) to Dexterity (5–8)% increased Movement Speed Lightning Damage of Enemies Hitting you is Lucky Nearby Allies' Damage with Hits is Lucky (Lucky things are rolled twice and the best result used) |
 | The Fulcrum Ezomyte Staff +20% Chance to Block Attack Damage while wielding a Staff(140–180)% increased Physical Damage (0–50)% of Physical Damage Converted to Fire Damage (0–50)% of Physical Damage Converted to Cold Damage (0–50)% of Physical Damage Converted to Lightning Damage Elemental Ailments you inflict are Reflected to you Elemental Damage with Hits is Lucky while you are Shocked Damage Penetrates (8–10)% Elemental Resistances while you are Chilled Gain (30–40)% of Physical Damage as Extra Damage of a random Element while you are Ignited |
 | Viridi's Veil Praetor Crown +(1–2) to Level of Socketed Gems (120–160)% increased Armour and Energy Shield +(15–25)% to all Elemental Resistances Damage of Enemies Hitting you is Unlucky while you have a Magic Ring Equipped You are Hexproof if you have a Magic Ring in right slot Take no Extra Damage from Critical Strikes if you have a Magic Ring in left slot (Unlucky things are rolled twice and the worst result used) |
 | Relic of the Pact Spiraled Wand (15–19)% increased Spell DamageGrants Level 1 Blood Sacrament Skill Your Critical Strike Chance is Lucky while on Low Life (Lucky things are rolled twice and the best result used) (You are on Low Life if you have 50% of your Maximum Life or less) |
Ascendancy Passive /1
Ascendancy Passive /1
| Category | Name | Show Full Descriptions |
|---|---|---|
| Notable | Violent Retaliation | Attack Damage is Lucky if you've Blocked in the past 20 seconds Hits ignore Enemy Monster Physical Damage Reduction if you've Blocked in the past 20 seconds |
Cluster Jewel Passive /1
Cluster Jewel Passive /1
| Category | Name | Show Full Descriptions |
|---|---|---|
| Notable | Supercharge | Lightning Damage with Non-Critical Strikes is Lucky |
Timeless Jewel Passive /1
Timeless Jewel Passive /1
| Faction | Category | Name | Show Full Descriptions |
|---|---|---|---|
| Maraketh | Keystone | Dance with Death | Can't use Helmets Your Critical Strike Chance is Lucky Your Damage with Critical Strikes is Lucky Enemies' Damage with Critical Strikes against you is Lucky (Lucky things are rolled twice and the best result used) You circle the black scorpion with enmity, daring it time and again. Brutal Restraint: Asenath |
Community Wiki
Luck
Luck is a mechanic that rolls a number twice, with Lucky rolls applying the best result, and Unlucky rolls applying the worst result. Modifiers that state when Damaging refer specifically to damage ranges, and not related mechanics such as 
Accuracy or critical strike chance.
Lucky and Unlucky modifiers affecting the same thing will cancel each other out.
Effectiveness
With percentage rolls, such as critical strike chance, lucky/unlucky rolls will be up to a 100% more/less modifier, changing linearly towards 0% as critical chance increases. As for damage rolls, the average damage from the roll will be at up to 33% more or less, when the minimum damage is close to zero, but will have a much weaker effect when the minimum damage is closer to the maximum.
Calculations
Binary Rolls
More specifically, the lucky critical strike chance can be calculated from the following formula:
For example, the lucky critical strike chance for an default critical strike chance of 40% could be calculated as follows:
It should be noted that these calculations neglect the effect of accuracy on critical strikes.
Damage in a Range
Given an integer roll between 
A lucky roll has expected value
Note that the last term in this is always between 0 and 1/6 This simplifies the formula to 
The average damage is effectively nudged closer toward the max damage, and further from the minimum damage. The damage boost, on average, is a sixth of the difference between minimum and maximum damage.
Example 1: You shoot a level 20 
Fireball. The maximum damage is 1643, and minimum damage is 1095, for an average of 1369. The difference between minimum and maximum is 548. If the damage is lucky, you get an average 548/6=91.3 extra damage, for a new average damage of 1369+91.3=1460.3 damage. This is a 6.6% damage boost.
Example 2: You cast a level 20 
Spark. The maximum damage is 1198, and minimum damage is 63, for an average of 630.5. The difference between minimum and maximum is 1135. If the damage is lucky, you get an average 1135/6=189.2 extra damage, for a new average damage of 189.2+630.5=819.6 damage. This is a 30% damage boost.
How much does lucky improve our expected value - if our minimum damage is 0 then we get a 33% more multiplier. As the minimum damage increases our percentage increase decreases.
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