Warhammer 40,000 is a game built around strategy, army composition, and probability. Every attack, wound roll, and saving throw can dramatically influence the outcome of a battle. Whether you’re commanding Space Marines, Orks, Tyranids, Necrons, or any other faction, understanding the expected results of your attacks can help you make smarter tactical decisions.

A 40K Dice Calculator is a valuable tool that estimates the average results of your attacks before rolling any dice. Instead of manually calculating probabilities for every attack sequence, the calculator quickly determines expected hits, wounds, failed saves, unsaved wounds, and total damage.

This tool is ideal for players who want to:

• Compare weapon profiles
• Evaluate unit effectiveness
• Plan battle strategies
• Optimize army lists
• Understand probability outcomes
• Improve competitive performance

In this guide, you'll learn how the 40K Dice Calculator works, the formulas behind it, practical examples, and tips for getting the most accurate results.

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What Is a 40K Dice Calculator?

A 40K Dice Calculator is a probability-based tool designed to estimate combat outcomes in Warhammer 40,000.

The calculator uses five main inputs:

1. Number of attacks
2. Hit roll requirement
3. Wound roll requirement
4. Enemy save roll
5. Damage per successful attack

Using these values, it calculates:

• Expected Hits
• Expected Wounds
• Failed Saves
• Unsaved Wounds
• Expected Total Damage

Rather than simulating thousands of dice rolls, the calculator uses mathematical averages to predict outcomes.

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Why Use a 40K Dice Calculator?

Many Warhammer players rely on intuition when making decisions. While experience is valuable, probability often tells a different story.

Benefits include:

Benefit	Description
Faster Decision Making	Instantly estimate attack effectiveness
Better Army Building	Compare units before a game
Improved Strategy	Target enemies more efficiently
Damage Forecasting	Predict average wounds dealt
Competitive Advantage	Make statistically informed choices
Learning Tool	Understand game probabilities

Whether you're a casual player or tournament competitor, probability analysis can improve your overall performance.

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How to Use the 40K Dice Calculator

Using the calculator is straightforward.

Step 1: Enter Number of Attacks

Input the total number of attacks your unit is making.

Example:

• 10 attacks
• 20 attacks
• 50 attacks

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Step 2: Select Hit Roll Needed

Choose the dice roll required to score a hit.

Common values include:

• 2+
• 3+
• 4+
• 5+
• 6+

Example:

A Space Marine hitting on 3+ has a higher chance of success than a unit hitting on 5+.

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Step 3: Select Wound Roll Needed

Choose the required wound roll based on Strength vs Toughness.

Examples:

• 2+ = very likely wound
• 3+ = strong chance
• 4+ = average chance
• 5+ = difficult wound
• 6+ = very difficult wound

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Step 4: Enter Enemy Save Roll

Select the enemy's armor save.

Examples:

• 2+ save
• 3+ save
• 4+ save
• 5+ save
• 6+ save

A better save means fewer wounds get through.

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Step 5: Enter Damage Per Attack

Input the damage caused by each unsaved wound.

Examples:

Weapon Type	Damage
Bolt Rifle	1
Power Weapon	2
Heavy Weapon	3
Anti-Tank Weapon	4+

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Step 6: Click Calculate

The calculator instantly displays:

• Expected Hits
• Expected Wounds
• Failed Saves
• Unsaved Wounds
• Expected Total Damage

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Understanding the Mathematics Behind the Calculator

The calculator uses probability formulas based on six-sided dice.

Hit Chance Formula

A hit roll succeeds if the die result equals or exceeds the required value.

Examples:

Hit Roll	Success Rate
2+	83.33%
3+	66.67%
4+	50.00%
5+	33.33%
6+	16.67%

Formula:

$\text{Hit Chance}=\frac{7-\text{Hit Roll}}{6}$Hit Chance=67−Hit Roll​

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Wound Chance Formula

The wound probability follows the same principle.

$\text{Wound Chance}=\frac{7-\text{Wound Roll}}{6}$Wound Chance=67−Wound Roll​

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Failed Save Chance Formula

The chance that an opponent fails a save is:

$\text{Failed Save Chance}=\frac{\text{Save Roll}-1}{6}$Failed Save Chance=6Save Roll−1​

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Expected Hits

Expected hits equal attacks multiplied by hit chance.

$\text{Expected Hits}=\text{Attacks}\times\text{Hit Chance}$Expected Hits=Attacks×Hit Chance

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Expected Wounds

$\text{Expected Wounds}=\text{Expected Hits}\times\text{Wound Chance}$Expected Wounds=Expected Hits×Wound Chance

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Unsaved Wounds

$\text{Unsaved Wounds}=\text{Expected Wounds}\times\text{Failed Save Chance}$Unsaved Wounds=Expected Wounds×Failed Save Chance

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Total Damage

$\text{Total Damage}=\text{Unsaved Wounds}\times\text{Damage Per Attack}$Total Damage=Unsaved Wounds×Damage Per Attack

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Example Calculation

Suppose a unit makes:

• 20 attacks
• Hits on 3+
• Wounds on 4+
• Enemy saves on 3+
• Damage = 2

Step 1: Calculate Hit Chance

3+ means:

66.67% success

Expected Hits:

20 × 0.6667 = 13.33

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Step 2: Calculate Wounds

4+ means:

50% success

Expected Wounds:

13.33 × 0.5 = 6.67

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Step 3: Failed Saves

Enemy save is 3+.

Failure rate:

33.33%

Unsaved Wounds:

6.67 × 0.3333 = 2.22

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Step 4: Total Damage

Damage per wound = 2

Expected Damage:

2.22 × 2 = 4.44

Final Results

Result	Value
Expected Hits	13.33
Expected Wounds	6.67
Failed Saves	2.22
Unsaved Wounds	2.22
Total Damage	4.44

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Hit Probability Reference Table

Roll Needed	Probability
2+	83.33%
3+	66.67%
4+	50.00%
5+	33.33%
6+	16.67%

This table can help estimate results even before using the calculator.

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Damage Output Comparison

Assume:

• 15 attacks
• 3+ hit
• 4+ wound
• Enemy save 4+

Damage per Attack	Average Damage
1	2.50
2	5.00
3	7.50
4	10.00

This demonstrates how high-damage weapons dramatically increase expected output.

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Strategic Uses of the Calculator

Army List Building

Compare different units before purchasing or fielding them.

Example:

• Elite infantry
• Heavy support
• Fast attack units

The calculator helps identify which unit provides the best damage efficiency.

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Weapon Selection

Many units can equip multiple weapon options.

Instead of guessing, calculate average damage and choose the most effective loadout.

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Target Priority

Use the calculator to determine:

• Which enemy unit is easiest to eliminate
• Which target yields maximum value
• Whether a charge or shooting attack is worthwhile

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Tournament Preparation

Competitive players often calculate expected damage outputs beforehand.

Benefits include:

• Better deployment decisions
• Improved target selection
• More efficient command point usage

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Common Mistakes Players Make

Ignoring Probability

Players often remember lucky rolls while forgetting average outcomes.

The calculator shows realistic expectations.

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Overestimating Elite Units

High-cost units may not always produce proportionally higher damage.

Use the calculator to verify performance.

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Forgetting Enemy Saves

Many players focus on hits and wounds but underestimate how many wounds are prevented by armor saves.

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Comparing Weapons Incorrectly

Weapon profiles should be compared using average damage rather than isolated dice rolls.

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Tips for More Accurate Results

Consider Multiple Turns

Average damage becomes more reliable over multiple rounds.

Compare Several Targets

Run calculations against:

• Light infantry
• Heavy infantry
• Vehicles
• Monsters

Analyze Different Weapon Loadouts

A weapon that excels against vehicles may perform poorly against infantry.

Plan Around Averages

Expected values help reduce risk and improve consistency.

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Who Should Use This Tool?

The 40K Dice Calculator is useful for:

• New Warhammer 40K players
• Casual gamers
• Competitive players
• Tournament organizers
• Content creators
• Army list builders
• Probability enthusiasts

Anyone who wants a deeper understanding of combat outcomes can benefit from this calculator.

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Conclusion

The 40K Dice Calculator is an essential resource for Warhammer 40,000 players who want to make data-driven decisions. By calculating expected hits, wounds, failed saves, unsaved wounds, and total damage, the tool provides a clear picture of how effective a unit or weapon is likely to be on the battlefield.

Instead of relying solely on luck or intuition, players can use statistical averages to improve army construction, target selection, and tactical planning. Whether you're preparing for a casual match or a competitive tournament, this calculator helps transform probability into practical battlefield advantage.

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Frequently Asked Questions (FAQs)

1. What does the 40K Dice Calculator do?

It estimates expected hits, wounds, failed saves, unsaved wounds, and total damage for a Warhammer 40K attack sequence.

2. Is the calculator accurate?

Yes. It uses mathematical probability to calculate average outcomes based on the inputs provided.

3. Does it simulate actual dice rolls?

No. It calculates expected averages rather than random roll simulations.

4. What is an expected hit?

An expected hit is the average number of successful hits predicted from all attacks.

5. How are wound chances calculated?

The wound chance is determined by the selected wound roll requirement and converted into a probability percentage.

6. What are unsaved wounds?

Unsaved wounds are wounds that remain after the defender fails their saving throw.

7. Can I use this calculator for vehicles and monsters?

Yes. As long as you know the required hit, wound, and save values, the calculator works for any target.

8. Why are my actual game results different?

Real dice involve randomness. The calculator shows average outcomes over many rolls rather than a single instance.

9. Can the calculator help with army building?

Absolutely. Comparing average damage outputs can help optimize unit and weapon selections.

10. Is this calculator useful for competitive play?

Yes. Competitive players frequently use probability tools to evaluate strategies, maximize efficiency, and improve decision-making.