Optimize your army list and predict combat outcomes with our precision 40k damage calculator. This tool simulates the “hit-wound-save” sequence to provide the expected average damage against any target profile.
40k Damage Calculator
40k Damage Calculator Formula:
Source: Warhammer 40,000 Core Rules Reference
Variables:
- Attacks (A): Total dice rolled in the hit phase.
- Skill (WS/BS): The probability of a successful hit (Weapon/Ballistic Skill).
- Strength (S) vs Toughness (T): Determines the required roll to wound based on comparison.
- AP (Armor Penetration): Modifies the target’s armor save roll.
- Saves (Sv/Inv): The target’s defensive threshold to negate damage.
- Damage (D): The amount of wounds lost per unsaved wound.
What is a 40k Damage Calculator?
A 40k damage calculator is a mathematical tool used by tabletop gamers to determine the statistical average output of a unit’s weaponry against a specific target. Because Warhammer 40,000 relies on multi-stage dice rolling, calculating the “MathHammer” helps players understand which weapons are most efficient against certain profiles, such as anti-tank vs. anti-infantry.
Using expected values (EV) allows for better tactical decision-making. Instead of relying on gut feeling, you can calculate if a squad of Intercessors can reasonably expect to finish off a wounded Hive Tyrant or if you need to commit more resources to the objective.
How to Calculate 40k Damage (Example):
- Calculate Hit Probability: If WS is 3+, probability is 4/6 (0.66).
- Calculate Wound Probability: If Strength 4 vs Toughness 4, you need 4+, probability 3/6 (0.5).
- Calculate Save Failure: If target has a 3+ save and your AP is -1, they save on a 4+. Fail probability is 3/6 (0.5).
- Multiply: Multiply hits, wounds, failed saves, and flat damage value.
Related Calculators:
- Unit Points Efficiency Tool
- Dice Probability Simulator
- Horde vs Elite Combat Analyzer
- Overwatch Success Calculator
Frequently Asked Questions (FAQ):
What is MathHammer?
MathHammer is a community term for using mathematical probability to analyze game mechanics in Warhammer 40,000.
How do Invulnerable Saves work here?
The calculator automatically compares the modified Armor Save (Sv + AP) against the Invulnerable Save and uses the better of the two.
Should I include re-rolls?
This basic calculator assumes flat rolls. For re-rolls, you would need to adjust the probability percentages manually or look for our advanced version.
What is the best AP value in 10th edition?
Generally, AP-2 is the “sweet spot” for cracking heavy infantry, while AP-0 is usually reserved for high-volume fire against light targets.