Warhammer Damage Calculator

Master the math of tabletop combat. Calculate expected damage, hit probabilities, and wound efficiency for your army lists.

What is a Warhammer Damage Calculator?

A Warhammer Damage Calculator is an essential tool for tabletop enthusiasts who want to remove the guesswork from their gaming experience. Often referred to as “Mathhammer,” this tool uses probability theory to determine the statistical average output of a unit’s attacks. Whether you are playing Warhammer 40,000, Age of Sigmar, or Horus Heresy, understanding the expected value of your dice rolls allows for more strategic decision-making.

Competitive players use a Warhammer Damage Calculator to compare different weapon profiles, determine if a unit is worth its points cost, and decide which targets to prioritize during the shooting or fight phases. Instead of relying on “gut feelings,” players can now mathematically prove which units are most likely to take down a specific threat.

A common misconception is that these calculators predict exactly what will happen. In reality, a Warhammer Damage Calculator provides the average outcome over an infinite number of rolls. Real games will always have “swingy” dice, but the math helps you play the odds effectively.

Warhammer Damage Calculator Formula and Mathematical Explanation

The core logic behind the Warhammer Damage Calculator follows a chain of conditional probabilities. Each step in the attack sequence (Hit, Wound, Save) filters the total number of attacks into a smaller pool of successful outcomes.

The mathematical derivation follows this sequence:

1. Hits = Total Attacks × (Chance to Hit)
2. Wounds = Hits × (Chance to Wound)
3. Unsaved Wounds = Wounds × (Chance to Fail Armor/Invul Save)
4. Total Damage = Unsaved Wounds × Damage Characteristic × (Chance to Fail FNP)

Variable	Meaning	Standard Dice Roll	Typical Range
A	Total Attacks	N/A	1 – 100+
Hit %	Weapon Skill / Ballistic Skill	2+ to 6+	16.6% – 83.3%
Wound %	Strength vs Toughness Ratio	2+ to 6+	16.6% – 83.3%
Save %	Armor adjusted by AP	2+ to 7+	0% – 83.3%

Table 1: Key variables used in Warhammer Damage Calculator math.

Practical Examples (Real-World Use Cases)

To better understand how a Warhammer Damage Calculator works, let’s look at two common scenarios in tabletop gaming.

Example 1: Space Marine Intercessor vs. Ork Boy
A squad of Intercessors fires 20 Bolt Rifle shots at a unit of Orks.
– Attacks: 20, BS: 3+, Strength: 4, Target Toughness: 5, AP: 0, Damage: 1, Save: 5+.
– The Warhammer Damage Calculator would show: 13.33 Hits → 4.44 Wounds → 2.96 Total Damage. This tells the player they can expect to kill approximately 3 Orks.

Example 2: Heavy Laser Destroyer vs. Heavy Tank
A powerful anti-tank weapon fires 2 shots.
– Attacks: 2, BS: 3+, Strength: 12, Target Toughness: 10, AP: 4, Damage: 6, Save: 2+.
– The math: 1.33 Hits → 0.88 Wounds → (Armor 2+ modified by AP 4 becomes 6+) 0.74 Unsaved → 4.44 Total Damage. This highlights that while the damage is high, the low volume of fire makes the unit “swingy.”

How to Use This Warhammer Damage Calculator

Using our Warhammer Damage Calculator is straightforward. Follow these steps to optimize your strategy:

• Input Attack Stats: Enter the number of attacks and the WS/BS of the attacking unit.
• Define the Conflict: Enter the Strength of the weapon and the Toughness of the defender. The tool automatically handles the “S vs T” logic.
• Account for Piercing: Input the AP value. Note that in 10th edition, AP is subtracted from the save (e.g., AP 2 makes a 3+ save into a 5+).
• Final Protection: Select any Invulnerable saves or “Feel No Pain” rules the target might have.
• Review Results: The tool instantly updates the Expected Total Damage and intermediate steps.

Key Factors That Affect Warhammer Damage Calculator Results

While the calculator handles the math, several tactical factors influence the real-world efficiency of your units:

1. Re-rolls: Many rules allow re-rolling 1s or all failed hits/wounds. This significantly boosts the efficiency calculated by a Warhammer Damage Calculator.
2. Critical Hits: Rules like “Lethal Hits” or “Sustained Hits” bypass certain parts of the damage sequence, often increasing damage against high-toughness targets.
3. Damage Spillage: In most systems, damage from a single attack does not “spill over” to other models in a unit unless specifically noted. A 3-damage hit on a 1-wound model still only kills one model.
4. Cover Bonuses: Standard cover improves armor saves by 1, which can be countered by high AP values.
5. Invulnerable Saves: These provide a floor for damage. No matter how high your AP is, an invulnerable save ensures the defender always has a chance to survive.
6. Feel No Pain (FNP): This is the final layer of defense. Since it applies to every single point of damage rather than the attack as a whole, it is statistically very reliable for multi-wound models.

Frequently Asked Questions (FAQ)

Q: Does this calculator work for both 40k and Age of Sigmar?
A: Yes, though AoS uses fixed “To Hit” and “To Wound” rolls, you can simply select the appropriate roll in the Warhammer Damage Calculator to get the same accurate results.

Q: How do I handle 2D6 or D3 damage?
A: For statistical purposes, use the average. D3 averages to 2, D6 averages to 3.5, and 2D6 averages to 7.

Q: What is “Mathhammer”?
A: Mathhammer is the community term for using a Warhammer Damage Calculator to analyze unit efficiency and probabilities.

Q: Why did my unit do 0 damage when the calculator said 5?
A: Probability is not destiny. The calculator provides the average. Variance (bad luck) is a core part of tabletop gaming.

Q: Should I always aim for the highest damage output?
A: Not necessarily. Sometimes “overkill” is a waste of points. Use the calculator to find the most efficient tool for the specific task.

Q: How does AP interact with saves?
A: AP increases the number needed to succeed. A 3+ save vs AP 1 requires a 4+. Our tool calculates this automatically.

Q: What are “Lethal Hits”?
A: These are critical hits that automatically wound. To simulate this in a basic Warhammer Damage Calculator, you would manually increase the Wound % or use a specialized tool for critical rules.

Q: Does toughness 12 matter against strength 4?
A: Yes, if Toughness is double or more than Strength, you wound on a 6+. If Strength is double or more than Toughness, you wound on a 2+.

Related Tools and Internal Resources

• Warhammer Strategy Guide: Learn how to position your units for maximum effect.
• Dice Probability Math: A deeper dive into the statistics behind 1D6 and 2D6 distributions.
• Best Army Lists: See how top players use math to build winning lists.
• Unit Points Calculator: Calculate the efficiency of your units per point spent.
• Tabletop Gaming Tactics: Advanced movements and phase-by-phase strategies.
• Competitive Play Tips: How to maintain focus and use math under pressure.