Warhammer Dice Calculator

Analyze your expected damage output and probability of success for Warhammer 40,000 and Age of Sigmar. Make data-driven tactical decisions using the most accurate Warhammer dice calculator online.

What is a Warhammer Dice Calculator?

A Warhammer dice calculator, often referred to as a “Mathhammer” tool, is an essential resource for tabletop wargamers. Whether you play Warhammer 40,000, Age of Sigmar, or Horus Heresy, understanding the statistical probability of your attacks is the difference between a tactical victory and a crushing defeat. This calculator uses the law of large numbers to provide the “expected value” (mean) of a specific combat engagement.

Competitive players use the warhammer dice calculator to determine if a unit is capable of destroying a target in a single phase. It removes the emotional bias of “lucky” or “unlucky” streaks, allowing you to see the cold, hard numbers behind the plastic models. Who should use it? General players looking to optimize their lists and tournament veterans refining their target priority strategies.

Warhammer Dice Calculator Formula and Mathematical Explanation

The math behind Warhammer is a chain of independent probability events. To calculate the final result, we multiply the probability of each success stage together. The basic formula used by this warhammer dice calculator is:

Expected Damage = A * P(H) * P(W) * P(F) * D

Variable	Meaning	Probability Formula	Typical Range
A	Attacks	Integer Input	1 – 100+
P(H)	Probability to Hit	(7 – Target Roll) / 6	2+ to 6+
P(W)	Probability to Wound	(7 – Target Roll) / 6	2+ to 6+
P(F)	Probability to Fail Save	(Target Roll – 1) / 6	2+ to 7 (None)
D	Damage Characteristic	Value per wound	1, 2, D3, D6

Practical Examples (Real-World Use Cases)

Example 1: Space Marine Intercessor Squad vs. Orks

Imagine 10 Space Marines firing Bolt Rifles at a squad of Ork Boyz. In this scenario, using our warhammer dice calculator, we input 20 attacks (Rapid Fire range). The Marines hit on a 3+, wound on a 4+, and the Orks have a 6+ save.

• Input: 20 Attacks, 3+ Hit, 4+ Wound, 6+ Save, 1 Damage.
• Output: 13.33 Hits -> 6.67 Wounds -> 5.56 Expected Unsaved Wounds.
• Interpretation: You can reliably expect to remove 5 to 6 Ork models in this shooting phase.

Example 2: Anti-Tank Lascannon vs. a Leman Russ

A single Lascannon shot (1 attack) hitting on 3+, wounding on 3+ (Strength 12 vs Toughness 11), with the tank having a 5+ save (due to AP-3).

• Input: 1 Attack, 3+ Hit, 3+ Wound, 5+ Save, 3.5 Damage (Avg D6).
• Output: 0.67 Hits -> 0.44 Wounds -> 0.29 Unsaved Wounds -> 1.04 Total Damage.
• Interpretation: A single shot is highly unreliable. You would need roughly 10-12 Lascannons to guarantee a kill on a 13-wound tank.

How to Use This Warhammer Dice Calculator

Using the warhammer dice calculator is straightforward, designed to give you instant feedback during list building or mid-game strategy:

1. Enter Attacks: Input the total number of dice you are rolling. Remember to account for Rapid Fire or Blast keywords.
2. Select To Hit: Choose the requirement based on your unit’s Weapon Skill (WS) or Ballistic Skill (BS).
3. Select To Wound: Compare your weapon Strength to the target’s Toughness. If S=T, it’s 4+. If S>T, it’s 3+. If S is 2x T, it’s 2+.
4. Set the Save: Adjust the target’s Armor Save based on your weapon’s Armor Penetration (AP). If the final value exceeds 6, select “No Save”.
5. Damage: Enter the flat damage. For variable damage like D3, enter 2. For D6, enter 3.5.

Key Factors That Affect Warhammer Dice Calculator Results

While the warhammer dice calculator provides the baseline, several tactical factors can swing the results in your favor:

• Re-rolls: Re-rolling 1s increases your success probability by roughly 16%. Full re-rolls can increase efficiency by up to 50% depending on the initial target.
• Modifiers: A -1 to hit penalty is devastating, often reducing damage output by 25-50%. Always check for cover modifiers.
• Critical Hits: Rules like “Lethal Hits” (6s to hit auto-wound) bypass the wound roll entirely, significantly boosting performance against high-toughness targets.
• Feel No Pain (FNP): This acts as a second save. If a target has a 5+ FNP, multiply your final damage by 0.66 to get the true effective damage.
• Damage Saturation: If a weapon does 3 damage to a 1-wound model, 2 damage is “wasted”. Our calculator shows raw damage, so adjust for “overkill” mentally.
• Volume of Fire vs. Quality: High-attack, low-strength weapons rely on weight of dice, while low-attack, high-strength weapons are high-risk, high-reward.

Frequently Asked Questions (FAQ)

1. Does this calculator handle re-rolls?

This version calculates baseline expected value. To simulate re-roll 1s, reduce your target number by 0.5 mentally or calculate separately by adding 1/6th of the failures.

2. What is “Mathhammer”?

Mathhammer is the application of probability theory to Warhammer games to determine the efficiency of units and weapon profiles.

3. Why did I roll way below the expected damage?

The warhammer dice calculator provides an average. Variance (standard deviation) means in small sample sizes (like 1 roll), results can vary wildly from the mean.

4. How do I calculate “Devastating Wounds”?

Devastating wounds bypass the save. To calculate this, take the number of critical wounds (1/6 of hits) and treat them as successful wounds with a save of “None”.

5. Is a 3+ better than two 5+ rolls?

A 3+ has a 66.6% success rate. Two 5+ rolls (needing both to succeed) have a 11.1% success rate. High-quality single rolls are usually better.

6. Can this be used for Age of Sigmar?

Yes! The “To Hit” and “To Wound” mechanics are nearly identical in AoS, making this a perfect warhammer dice calculator for both systems.

7. How does Armor Penetration (AP) work here?

You should manually adjust the “Save Roll” input. If a target has a 3+ save and your weapon is AP-2, select the “5+” option in the calculator.

8. What is the most important stat in Warhammer?

Statistically, the “To Wound” roll often has the most variance, but “Attacks” (volume) is the best way to mitigate bad luck.

Related Tools and Internal Resources

• warhammer army builder – Plan your list and points costs effectively.
• unit points calculator – Compare the efficiency of different units per point spent.
• combat resolution guide – Master the morale and pile-in rules of the fight phase.
• victory points tracker – Keep track of secondary objectives during your games.
• list optimization tool – Use statistics to find the most efficient weapon loadouts.
• wound chart reference – A quick look-up table for Strength vs. Toughness.