Damage: Difference between revisions

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(→‎A bit of mathematics: Added necessary context to avoid misleading readers into mistakenly believing 1d8 is superior to 2d4.)
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== Damage rolls ==
== Damage rolls ==
The base damage dealt by a [[weapons|weapon]], [[spells|spell]], class action or condition is usually determined by a ''damage roll''. Damage rolls are [[dice rolls]] made using the dice specified in the harmful source's description.
{{Excerpt|Dice rolls|Attack rolls|subsections=yes|templates=SAI, InfoBlob, note}}
 
=== Notation ===
Damage rolls are expressed in the game using both dice notation: {{math|xdN + y}}, where ''x'' is the number of dice rolled, and ''N'' is the number of sides of those dice. ''y'' is the sum of all modifiers added to the damage roll.
 
The game also expressed damage using a range: {{math|a \sim b}}, where ''a'' is the minimum damage possible and ''b'' is the maximum damage possible.
 
Dice used when making damage rolls is usually any number of dice with a minimum size of d4 and a maximum size of d12.
 
=== Modifiers ===
When a creature deals damage,they make a damage roll and add any applicable modifiers to the results.{{note|Unlike d20 rolls, creatures normally do not add their [[proficiency|proficiency bonus]] to the results of their damage rolls.}} Modifiers are only added {{em|once}} per source, even multiple dice are rolled.
 
Damage rolls typically have an associated [[abilities|ability]], and creatures add their corresponding ability score modifier to the results of those rolls.
 
==== Weapon attacks ====
When making weapon attacks, the attacking creature's usually add their [[Strength]] or [[Dexterity]] modifier to the results of their damage roll.
 
Whether Strength or Dexterity is used depends on the weapon: usually Strength for melee weapons and Dexterity for ranged weapons.  The exceptions to this rule are [[Finesse]] weapons, which automatically select Strength or Dexterity, whichever score is higher; and [[Thrown]] weapons, which use Strength for both melee and ranged attacks.  If a weapon is both Thrown and Finesse, it uses the higher of Strength and Dexterity for both melee and ranged attacks.
 
Some examples, to make the possible combinations of Finesse and Thrown easier to understand:
 
* Using a [[Maul]] for a melee attack always uses Strength.
* Using a [[Rapier]] (Finesse) for a melee attack uses Strength or Dexterity; whichever the attacking creature has a higher score in.
* Shooting a [[Longbow]] for a ranged attack always uses Dexterity.
* Throwing a [[Handaxe]] (Thrown) for a ranged attack uses Strength.
* Throwing a [[Dagger]] (Finesse & Thrown) for a ranged attack uses Strength or Dexterity, whichever is higher.
 
Whether it's Strength or Dexterity that ends up being used, the following table defines the value of the modifier:
 
==== Spells ====
Casters typically do not add their ability score modifier to the damage rolls of spells, unless a [[Features|class feature]] allows it. For example, [[Warlock|warlocks]] with the {{SAI|Agonising Blast}} Invocation can add their [[Charisma]] modifier to {{SAI|Eldritch Blast}} damage rolls.


=== Example ===
=== Example ===

Revision as of 20:44, 9 January 2024

For a comprehensive overview of the game's damage calculations, see Damage mechanics.
1d4 + 1d6 Poison.png

Damage is a number that represents how deadly a threat is. When a creature takes damage, they subtract that amount of damage from their current amount of hit points.

Damage is dealt with attacks and other harmful actions, as well as by a variety of conditions.

Damage rolls

Creatures make attack rolls when they attack a target, usually with a weapon or a spell.

If the result of the attack roll is equal to or higher than the target's Armour Class (AC), the attack hits, and the attacker rolls for damage. If the result is lower than the target's AC, the attack misses.

Attack roll modifiers

Attack rolls are always made using an associated ability:

  • Unarmed attacks, and attacks made with melee weapons and thrown weapons generally add the attacking creature's Strength modifier.
  • If the weapon has the Finesse property, attacks with it add either the attacker's Strength or Dexterity modifier, whichever is higher.
  • Unarmed attacks may use the attacker's Dexterity modifier if they have certain features like Dextrous Attacks from the Monk class.
  • Attacks made with ranged weapons add the creature's Dexterity modifier.
  • Spell attacks add the caster's spellcasting ability modifier, generally determined by their class.

If the attacker is proficient with the weapon they are wielding, or if the attack is a spell attack or unarmed attack, they also add their proficiency bonus.

Critical hits

Example of a critical hit with a 1d6 shortsword.

When a creature rolls a natural 20 on an attack roll, the attack is a critical hit. Critical hits automatically land regardless of the target's AC, and the attacker also rolls twice the normal number of dice to determine damage dealt, including additional dice such as those from smites or combat maneuvers. Modifiers and bonuses – including the creature's relevant ability score modifier and proficiency bonus – are not doubled.

Some feats, class features, and items reduce the critical hit threshold by 1, allowing the creature to land critical hits by rolling either 19 or 20 on attack rolls. Multiple sources of this effect stack, allowing the critical hit threshold to go even lower than 19.

Armour Class

Armour Class (AC) is a measurement of how difficult a creature is to be hit by an attack. In order to successfully hit a creature, the results of an attack roll must be equal to or greater than the target's Armour Class. AC can be increased by equipping armour and shields, by selecting certain feats when leveling up, or utilizing certain spells.

Formula

The formula that determines AC when wearing Armour in the torso slot is:

Torso armor AC + Dexterity modifier + shield bonus + other bonuses and penalties

The AC bonus from Dexterity is typically capped at +2 when wearing medium armour[note 1][note 2], and is reduced to zero when wearing heavy armour.

Most Shields grant +2 AC.

Other bonuses include things like the Defense fighting style, which grants +1 AC while wearing armor, and the Cloak of Protection, which grants +1 AC at all times. Bonuses to AC stack with each other.

Other formulas

Barkskin sets the affected creature's AC to 16 if they would otherwise have less.

Unarmoured creatures may use a different formula if they have certain features. Creatures always use whichever formula they have access to that would result in the highest AC. Alternative formulas are only used if no items marked "Light Armor", "Medium Armor", or "Heavy Armor" are being worn in any equipment slot.

Mage Armour Mage Armour and Draconic Resilience Draconic Resilience:

13 + Dexterity modifier + shield bonus + other bonuses and penalties

Unarmoured Defence (Barbarian) Unarmoured Defence (Barbarian):

10 + Constitution modifier + Dexterity modifier + shield bonus + other bonuses and penalties

Unarmoured Defence (Monk) Unarmoured Defence (Monk):

10 + Wisdom modifier + Dexterity modifier + other bonuses and penalties

Example

A successful attack with a Daggers Dagger does a base of 1d4Damage TypesPiercing damage (1~4). This means a single four-sided die D4 Piercing.png is rolled to determine the damage, for a total of 1 to 4 piercing damage. Most weapons use a single damage die, but some two-handed weapons use two: a successful attack with a Greatswords Greatsword does 2d6Damage TypesSlashing damage (2~12), rolling two six-sided dice D6 Slashing.png for a total of 2 to 12 slashing damage. Damaging spells typically roll more dice: for example, being caught in a Fireball Fireball will cause 8d6Damage TypesFire damage (8~48), though a successful Saving Throw can reduce it to half.

Damage types

All damage has a damage type, of which there are 13:

Bludgeoning, piercing and slashing damage are sometimes collectively referred to as Physical damage.

If a source of damage mixes different sizes of dice or damage types, they will be listed separately with a plus sign between them, e.g. 1d8Damage Typespiercing + 1d4Damage Typesfire. Each type is dealt separately, though see damage mechanics for more details.

Resistance, Vulnerability and Immunity

Main article: Resistances

A creature's resistances determine which damage types they are immune, resistant or vulnerable to:

  • Damage dealt to a creature with resistance to that damage type is halved.
  • Damage dealt to a creature with vulnerability to that damage type is doubled.
  • Damage dealt to a creature with immunity to that damage type is reduced to zero.

Resistance and vulnerability to the same type cancel each other out, but don't affect immunity.

A bit of mathematics

Note that due to the mathematics of dice rolls, the difference between, say, 1d8 and 2d4 is more than just the higher minimum value of 2 on the 2d4 roll. With the d8, you have an equal chance of getting, say, a 5 and an 8. On the other hand, the 2d4 roll is statistically more likely to lead to a total value of 5, than a total value of 8. This is most easily explained with a table of all possible outcomes:

Possible results of a 2d4 roll, highlighting the number of possibilities resulting in a total value of 5
First roll Second roll Total value
1 1 2
1 2 3
1 3 4
1 4 5
2 1 3
2 2 4
2 3 5
2 4 6
3 1 4
3 2 5
3 3 6
3 4 7
4 1 5
4 2 6
4 3 7
4 4 8

Notice how often the 5 appears in the possibilities for the total value (4 out of 16 possibilities) vs. how often the 8 appears (1 out of 16). This means a 2d4 roll has a 25% chance of resulting in 5 points of damage, but only a 6.125% chance of resulting in 8 points of damage. Meanwhile, the 1d8 roll actually has a higher chance of resulting in the maximum damage value of 8, since 1 out of 8 possibilities (12.5%) result in an 8. However, the average roll of 2d4 is 5 damage, while the average roll of is only 4.5, because 2d4 can never roll a 1. Therefore, 2d4 is generally more consistent in damage output and will result in higher rolls in the long run.

See also

Footnotes

  1. The Medium Armour Master feat increases the cap from +2 to +3.
  2. A few rare armours have an "Exotic Material" trait that allow the wearer to get the full Dexterity bonus to AC. These include Yuan-Ti Scale Mail, Unwanted Masterwork Scalemail, Sharpened Snare Cuirass, and Armour of Agility.