Warhammer battles involve a combination of strategy, probability, dice rolls, and tactical decisions. When a unit makes a large number of attacks, manually working through every possible hit, wound, reroll, and saving throw can become time-consuming. A Warhammer Dice Calculator provides a faster way to estimate the expected results of an attack sequence.

Our Warhammer Dice Calculator is designed to estimate the average outcome of an attack sequence using the number of attacks, hit target, wound target, enemy save, rerolls, and damage per unsaved wound. Instead of rolling dice repeatedly to understand the statistical expectation, you can enter the relevant values and immediately see the estimated hits, wounds, unsaved wounds, and damage.

The calculator also displays the probability of successfully hitting, successfully wounding, and failing the enemy's save. These results can help players understand the mathematical expectations behind an attack and compare different situations during game planning, list analysis, or probability practice.

Important: This calculator provides mathematical expectations rather than guaranteed game results. Actual tabletop dice rolls can be higher or lower than the calculated averages.

What Is a Warhammer Dice Calculator?

A Warhammer Dice Calculator is a probability tool for analyzing an attack sequence in a Warhammer-style tabletop game. It uses the number of attacks and the target numbers involved in the attack process to estimate how many successful results you would expect on average.

The basic sequence represented by this calculator is:

Attacks → Hits → Wounds → Unsaved Wounds → Damage

For example, imagine a unit makes 20 attacks and hits on 3+. The calculator estimates how many of those attacks should become successful hits based on the probability of rolling the required number or higher on a six-sided die.

It then applies the selected wound target, enemy save, and any available rerolls to estimate the later stages of the sequence.

This approach is particularly useful because expected results can be difficult to calculate mentally when several probabilities interact.

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What the Calculator Calculates

After you enter your attack information, the calculator provides several results.

Expected Hits

This is the average number of attacks expected to successfully hit based on the selected To Hit target and hit rerolls.

Expected Wounds

This represents the average number of successful wounds after applying the wound probability to the expected hits.

Expected Unsaved Wounds

This is the estimated number of wounds that remain after considering the enemy's saving throw.

Expected Damage

Expected damage is calculated by multiplying expected unsaved wounds by the damage value entered for each unsaved wound.

Hit Success Chance

This shows the probability that an individual attack successfully hits.

Wound Success Chance

This shows the probability that an eligible hit successfully wounds.

Failed Save Chance

This represents the probability that an incoming wound is not successfully saved by the enemy.

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How to Use the Warhammer Dice Calculator

Using the calculator is straightforward. You need information about the attack sequence before entering the values.

Step 1: Enter Number of Attacks

Enter the number of attacks being made.

For example:

Number of Attacks = 20

The calculator accepts positive numbers. In normal tabletop use, attacks are generally whole-number quantities, so enter the number of dice you expect to roll for the attack.

Step 2: Select the To Hit Target

Choose the required result for a successful hit.

The calculator provides:

• 2+
• 3+
• 4+
• 5+
• 6+

For example, if the attack hits on a 3+, select 3+.

A lower target generally represents a higher chance of success because more faces on a six-sided die meet the requirement.

Step 3: Select the To Wound Target

Choose the required roll to successfully wound.

Available options are:

• 2+
• 3+
• 4+
• 5+
• 6+

For example, select 4+ if the attack wounds on a 4 or higher.

Step 4: Select the Enemy Save

Enter the enemy's save target using the available options.

The calculator supports:

• 2+
• 3+
• 4+
• 5+
• 6+
• No Save

The No Save option is represented by 7 internally because a standard six-sided die cannot roll a 7.

Step 5: Select Hit Rerolls

Choose the hit reroll condition if applicable.

The options are:

• None
• Reroll 1s
• Reroll Failed Hits

Select None if the attack has no hit rerolls.

Step 6: Select Wound Rerolls

Choose the wound reroll condition.

The calculator supports:

• None
• Reroll 1s
• Reroll Failed Wounds

These options allow the calculation to account for the additional probability created by rerolling dice.

Step 7: Enter Damage per Unsaved Wound

Enter the damage produced by each unsaved wound.

For example:

Damage = 2

If each unsaved wound causes 2 damage, enter 2.

The calculator allows decimal values as well, which can be useful for mathematical scenarios where the damage value is represented as a non-integer average.

Step 8: Click Calculate

After entering the information, select Calculate.

The calculator displays the expected hits, wounds, unsaved wounds, damage, and the three relevant probability percentages.

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Warhammer Dice Calculator Formula Explained

The calculator uses probability calculations based on a six-sided die.

Understanding the formulas makes it easier to interpret the results.

Basic Success Probability

For a target number (T), the basic probability of success is:

[
P = \frac{7-T}{6}
]

where T is the required roll.

For example, a 3+ target has four successful results:

3, 4, 5, 6

Therefore:

[
P = \frac{7-3}{6}
]

[
P = \frac{4}{6}
]

[
P \approx 66.67%
]

A 3+ roll therefore has a basic success probability of approximately 66.67%.

Basic Probability Table

Target	Successful Faces	Success Chance
2+	5	83.33%
3+	4	66.67%
4+	3	50.00%
5+	2	33.33%
6+	1	16.67%

This table illustrates why improving a target from 4+ to 3+ can have a substantial effect on expected results.

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Reroll 1s Formula

When the calculator is set to Reroll 1s, it calculates the original success probability and adds the probability of rolling a 1 followed by a successful reroll.

The formula used is:

[
P_{reroll\ 1s}=P+\frac{1}{6}P
]

For a 3+ target:

[
P=\frac{4}{6}=0.6667
]

Therefore:

[
P_{reroll\ 1s}=0.6667+\left(\frac{1}{6}\times0.6667\right)
]

[
P_{reroll\ 1s}\approx0.7778
]

That produces an expected success probability of approximately 77.78%.

The key point is that rerolling 1s does not reroll every failure. It specifically gives another opportunity to dice that initially show a 1.

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Reroll Failed Results Formula

The calculator also supports Reroll Failed Hits and Reroll Failed Wounds.

The formula is:

[
P_{failed\ reroll}=P+(1-P)P
]

This represents the original chance of success plus the chance of failing initially and then succeeding on the reroll.

For example, with a 4+ target:

[
P=0.5
]

Therefore:

[
P_{failed\ reroll}=0.5+(0.5\times0.5)
]

[
P_{failed\ reroll}=0.75
]

The resulting probability is 75%.

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Calculating Expected Hits

Expected hits are calculated using:

[
Expected\ Hits=Attacks\times Hit\ Probability
]

Suppose you make 30 attacks and have a 3+ hit target without rerolls:

[
30\times\frac{4}{6}=20
]

The expected number of hits is therefore 20.

This does not mean exactly 20 dice will hit. It means that over a sufficiently large number of comparable attack sequences, the mathematical average approaches that value.

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Calculating Expected Wounds

Once expected hits are known, the calculator applies the wound probability:

[
Expected\ Wounds=Expected\ Hits\times Wound\ Probability
]

Suppose you have 20 expected hits and wound on 4+:

[
20\times0.5=10
]

The expected result is 10 wounds.

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Calculating Unsaved Wounds

The enemy's save is then considered.

The calculator determines the enemy's save success probability using the same six-sided-die principle:

[
P_{Save}=\frac{7-S}{6}
]

where S represents the enemy's save target.

The failed save probability is:

[
P_{Failed\ Save}=1-P_{Save}
]

If the enemy has no save, the failed save chance is effectively 100%.

Expected unsaved wounds are:

[
Expected\ Unsaved\ Wounds=Expected\ Wounds\times Failed\ Save\ Probability
]

---

Calculating Expected Damage

The final damage estimate is:

[
Expected\ Damage=Expected\ Unsaved\ Wounds\times Damage
]

For example, if you expect 5 unsaved wounds and each one causes 2 damage:

[
5\times2=10
]

The expected damage is 10.

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Practical Example 1: Basic Attack Sequence

Consider an attack with:

• 20 attacks
• 3+ to hit
• 4+ to wound
• 4+ enemy save
• No hit rerolls
• No wound rerolls
• 2 damage per unsaved wound

Hits

A 3+ succeeds on four of six faces:

[
4/6=66.67%
]

Expected hits:

[
20\times0.6667\approx13.33
]

Wounds

A 4+ succeeds 50% of the time:

[
13.33\times0.5\approx6.67
]

Failed Saves

A 4+ save succeeds 50% of the time, so the failed save chance is also 50%.

[
6.67\times0.5\approx3.33
]

Damage

With 2 damage per unsaved wound:

[
3.33\times2\approx6.67
]

So the mathematical expectation is approximately:

Result	Expected Value
Hits	13.33
Wounds	6.67
Unsaved Wounds	3.33
Damage	6.67

Actual dice results will vary around these expectations.

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Practical Example 2: Adding Rerolls

Now consider 24 attacks with:

• 3+ to hit
• 4+ to wound
• 5+ enemy save
• Reroll 1s to hit
• Reroll failed wounds
• 2 damage per unsaved wound

The 3+ hit target normally has a 66.67% success chance. Rerolling 1s raises the calculated hit probability because some initially unsuccessful dice receive another opportunity.

The wound stage also benefits from rerolling failed wounds. A 4+ wound target has a basic 50% success chance, while rerolling failures raises the probability to:

[
0.5+(0.5\times0.5)=0.75
]

So the calculator can show how rerolls change the expected output without requiring you to manually calculate every stage.

This is especially useful when evaluating how much additional output comes from a rule that provides rerolls.

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Understanding Expected Damage

Expected damage should be treated as an average, not a prediction of an individual roll.

Suppose a calculator produces 8.50 expected damage. You should not expect to deal exactly 8.5 damage in a single attack sequence. Dice produce discrete outcomes, while the mathematical average can contain decimals.

For example, several actual results might be:

• 5 damage
• 7 damage
• 10 damage
• 12 damage

Over many comparable trials, the average can approach the calculated expectation.

This distinction is important when using probability to understand tabletop games.

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Why Rerolls Matter

Rerolls can substantially change expected results because they give failed or specific dice another opportunity to succeed.

However, the value of a reroll depends on the original target.

A reroll on a difficult 6+ target has a different mathematical effect from a reroll on a 2+ target. Similarly, rerolling all failures is different from rerolling only 1s.

The calculator makes these differences easier to visualize by showing the resulting hit and wound probabilities.

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Understanding Enemy Saves

The enemy save is the final defensive stage represented in this calculator.

A stronger save means a greater chance of preventing incoming wounds, while a weaker save results in a greater failed-save probability.

For example:

Enemy Save	Save Chance	Failed Save Chance
2+	83.33%	16.67%
3+	66.67%	33.33%
4+	50.00%	50.00%
5+	33.33%	66.67%
6+	16.67%	83.33%
No Save	0%	100%

This provides a quick way to see how defensive probability affects the expected damage output.

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Uses for a Warhammer Dice Calculator

Army and Unit Analysis

Players can use expected-value calculations to understand how different attack profiles behave mathematically.

List Building

When comparing different combinations of attacks, hit targets, wound targets, rerolls, and damage values, probability calculations can provide useful quantitative information.

Tactical Planning

Before committing an attack, you can estimate the expected number of successful wounds and damage rather than relying entirely on intuition.

Learning Probability

New players can use the calculator to become familiar with the probability of common dice targets such as 2+, 3+, 4+, 5+, and 6+.

Comparing Reroll Effects

The reroll options allow you to see how additional dice opportunities change expected hit or wound probabilities.

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Tips for Using the Calculator Effectively

Use Accurate Attack Values

Enter the number of attacks you actually expect to make. If a rule or ability changes the number of attacks, update the value before calculating.

Check Each Target Carefully

Make sure your selected hit, wound, and save values match the specific attack scenario you are analyzing.

Separate Different Attack Profiles

If a unit has several weapons with different characteristics, calculating each profile separately can provide a clearer picture.

Remember That Averages Are Not Guarantees

Probability describes expected outcomes over repeated trials. A single dice roll can produce results substantially above or below the average.

Consider the Whole Attack Chain

Looking only at hit probability can be misleading. A strong hit chance does not necessarily produce high damage if the wound chance or failed-save chance is low.

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Limitations of This Warhammer Dice Calculator

The calculator focuses on the attack sequence represented by its available inputs. It does not model every possible special rule, modifier, weapon ability, unit ability, critical-hit interaction, damage reduction effect, mortal-wound mechanic, multi-stage defensive rule, or other game-specific interaction.

For complicated situations, you may need to break an attack sequence into separate calculations or account for additional rules manually.

Game rules can also change between editions, updates, and specific scenarios. Always use the rules applicable to the game you are currently playing when determining the correct inputs.

The calculator is best viewed as a probability and expected-value tool, not as a replacement for the official rules.

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Frequently Asked Questions

1. What is a Warhammer Dice Calculator?

A Warhammer Dice Calculator estimates the mathematical outcome of an attack sequence. It calculates expected hits, wounds, unsaved wounds, and damage based on the values entered.

2. What does "To Hit" mean?

"To Hit" is the target number required on a six-sided die for an attack to successfully hit. For example, a 3+ means results of 3, 4, 5, or 6 are successful.

3. What does "To Wound" mean?

"To Wound" is the target number required for a successful hit to become a successful wound. The calculator uses the selected target to determine the wound probability.

4. How are expected hits calculated?

Expected hits equal the number of attacks multiplied by the probability of successfully hitting. Reroll options can increase that probability.

5. How does rerolling 1s affect the calculation?

Rerolling 1s gives dice that initially show a 1 another chance to succeed. The calculator incorporates that additional probability into the hit or wound calculation.

6. What does reroll failed hits mean?

Reroll failed hits means every unsuccessful initial hit receives another attempt. Mathematically, this produces a higher success probability than making only the original roll.

7. What does "No Save" mean?

"No Save" means the calculator treats the failed-save probability as 100%. In the tool, this option is represented by a value of 7 because a standard six-sided die cannot roll a 7.

8. Does expected damage mean the exact damage I will roll?

No. Expected damage is an average mathematical result. Actual dice outcomes can be higher or lower during an individual attack sequence.

9. Can I use decimal damage values?

Yes. The damage field accepts decimal values. This can be useful when analyzing an average or a scenario involving fractional mathematical damage.

10. Can this calculator account for every Warhammer rule?

No. It focuses on attacks, hit targets, wound targets, enemy saves, selected rerolls, and damage per unsaved wound. More complicated game mechanics may require additional calculations or manual adjustments.