Legion Dice Calculator

What is a Legion Dice Calculator?

A Legion Dice Calculator is a specialized tool designed for players of Star Wars: Legion, a popular miniatures wargame. Its primary function is to predict the statistical outcomes of combat engagements by analyzing dice pools and various in-game modifiers. Instead of simply rolling dice and hoping for the best, this calculator provides players with expected values for hits, critical hits, blocks, evades, and ultimately, the number of wounds a unit is likely to inflict or suffer.

This tool is invaluable for several reasons:

• Strategic Planning: Understand the true offensive and defensive capabilities of your units before committing to an engagement.
• List Building: Optimize your army lists by understanding how different unit compositions and upgrades affect combat efficiency.
• Rules Comprehension: Clarify how various keywords like Surge, Pierce, Impact, Aim, Cover, and Dodge interact with dice rolls.
• Learning Tool: New players can quickly grasp the core combat mechanics and probabilities without needing extensive in-game experience.

Many players often misunderstand the cumulative effect of dice modifiers, leading to misjudged attacks or defenses. For instance, the exact impact of Aim tokens or the nuances of Pierce can be complex to calculate mentally. This Legion Dice Calculator eliminates guesswork, providing concrete data to inform your tactical decisions.

Legion Dice Calculator Formula and Explanation

The core of any Legion Dice Calculator lies in the probabilities associated with each dice face and how these are modified. Star Wars: Legion uses custom dice with unique symbols. The calculator operates on the principle of expected value, meaning it calculates the average outcome over a large number of rolls, rather than simulating individual rolls.

Each die type (Red, Black, White for attack; Red, Black, White for defense) has a fixed probability distribution for its faces:

Attack Dice Probabilities

Defense Dice Probabilities

The calculation process involves several steps:

1. Initial Attack Roll: Sum the expected Hits, Crits, and Surges from all attack dice.
2. Surge to Hit: If active, add expected Surges to expected Hits.
3. Aim Tokens: Each Aim token allows a re-roll of one attack die that did not produce a hit or crit. The calculator approximates this by adding the average hit/crit probability of one die to the total for each Aim token used. This is a common simplification for expected value calculations.
4. Initial Defense Roll: Sum the expected Blocks and Evades from all defense dice.
5. Cover: Add additional blocks based on the cover level (e.g., Light Cover adds 1 block, Heavy Cover adds 2).
6. Dodge Tokens: Add additional evades equal to the number of Dodge tokens.
7. Pierce: Reduces the defender's total blocks by the Pierce value. This is applied before hits are assigned to blocks.
8. Impact: Converts a number of hits to critical hits, up to the Impact value, but only if the defender has insufficient blocks to stop all incoming hits. For simplicity in this expected value model, it's often approximated as directly converting hits to crits up to the Impact value.
9. Wound Calculation: Critical hits are resolved first and cannot be blocked by normal blocks (only by Evades or specific abilities). Remaining hits are then reduced by any remaining blocks and evades. The sum of unblocked crits and unblocked hits determines the total expected wounds.

Key Variables in Legion Combat

Practical Examples Using the Legion Dice Calculator

Example 1: Basic Trooper Firefight

Imagine two basic trooper units exchanging fire. An attacking Stormtrooper unit fires at a defending Rebel Trooper unit in the open.

• Attacker Inputs:
  • Red Attack Dice: 0
  • Black Attack Dice: 2
  • White Attack Dice: 0
  • Surge to Hit: Off
  • Aim Tokens: 0
  • Pierce Value: 0
  • Impact Value: 0
• Defender Inputs:
  • Red Defense Dice: 0
  • Black Defense Dice: 2
  • White Defense Dice: 0
  • Cover Blocks Added: 0
  • Dodge Tokens: 0

Calculator Results:

• Expected Total Hits: ~0.38
• Expected Total Crits: ~0.13
• Expected Total Blocks: ~0.75
• Expected Total Evades: ~0.25
• Expected Wounds: ~0.00

Interpretation: In this scenario, the attacking Stormtroopers are unlikely to inflict any wounds due to the defending Rebel Troopers having an equivalent defense dice pool and no adverse modifiers. The defender is expected to block or evade all incoming damage on average.

Example 2: Heavy Weapon with Modifiers

Consider a unit with a Z-6 Rotary Blaster Cannon (4 Red, 2 White attack dice) attacking a unit with Heavy Cover and 1 Dodge token.

• Attacker Inputs:
  • Red Attack Dice: 4
  • Black Attack Dice: 0
  • White Attack Dice: 2
  • Surge to Hit: On (common for units with Z-6)
  • Aim Tokens: 1
  • Pierce Value: 0
  • Impact Value: 0
• Defender Inputs:
  • Red Defense Dice: 0
  • Black Defense Dice: 2
  • White Defense Dice: 0
  • Cover Blocks Added: 2 (Heavy Cover)
  • Dodge Tokens: 1

Calculator Results:

• Expected Total Hits: ~3.75
• Expected Total Crits: ~0.63
• Expected Total Blocks: ~2.75
• Expected Total Evades: ~1.25
• Expected Wounds: ~0.38

Interpretation: Even with a powerful weapon and an Aim token, the combination of Heavy Cover and a Dodge token makes the defending unit quite resilient. While the attacker generates many hits, the defender's saves significantly reduce the incoming damage, resulting in a low expected wound count. This highlights the importance of positioning and token management.

How to Use This Legion Dice Calculator

Using this Legion Dice Calculator is straightforward and designed for quick analysis:

1. Input Attacker Dice: Enter the number of Red, Black, and White attack dice your unit will roll. These numbers are typically found on your unit's combat profile.
2. Select Attacker Modifiers:
   • Surge to Hit: Check this box if your unit has an ability that converts surge results into hits.
   • Aim Tokens: Input the number of Aim tokens your unit has. Each token allows a re-roll of one attack die that did not yield a hit or crit.
   • Pierce Value: Enter the numerical value of the Pierce keyword if your weapon possesses it.
   • Impact Value: Enter the numerical value of the Impact keyword if applicable.
3. Input Defender Dice: Enter the number of Red, Black, and White defense dice the target unit will roll.
4. Select Defender Modifiers:
   • Cover Blocks Added: Input 1 for Light Cover or 2 for Heavy Cover. Enter 0 if the unit is in the open.
   • Dodge Tokens: Input the number of Dodge tokens the defending unit has.
5. Calculate: Click the "Calculate Dice" button. The results will automatically update.
6. Interpret Results:
   • The "Expected Wounds" is your primary result, indicating the average damage dealt.
   • Review the intermediate results for expected hits, crits, blocks, and evades to understand the breakdown of the combat interaction.
   • The chart provides a visual summary of these key outcomes.
7. Copy Results: Use the "Copy Results" button to easily transfer the output to a document or share it.
8. Reset: Click the "Reset" button to clear all inputs and return to default values for a new calculation.

Remember that these are statistical averages. Actual dice rolls will vary, but understanding the expected outcomes helps you make more informed decisions.

Key Factors That Affect Legion Dice Rolls

Understanding the various factors that influence dice rolls is crucial for mastering Star Wars: Legion. This Legion Dice Calculator helps quantify their impact:

1. Dice Pool Composition: The mix of Red, Black, and White dice for both attack and defense is paramount. Red dice are generally more reliable for hits/blocks, while White dice are less so but can be numerous. Black dice offer a balanced profile.
2. Surge Conversion: Whether an attacking unit can convert surges to hits (Surge to Hit) or a defending unit can convert surges to blocks (Surge to Block, less common for defense) significantly boosts their respective probabilities. For example, a unit without Surge to Hit will yield fewer hits on average.
3. Aim Tokens: Aim tokens are powerful offensive modifiers. By allowing re-rolls of attack dice that failed to produce hits or crits, they dramatically increase the probability of inflicting damage. Each Aim token used has a substantial impact on the expected hits and crits.
4. Pierce Keyword: Pierce is a direct counter to defense dice. A weapon with Pierce X reduces the defender's blocks by X, effectively bypassing their defensive capabilities. This can turn a low-damage attack into a devastating one against heavily armored units.
5. Impact Keyword: Impact X converts X hits into critical hits. While critical hits are resolved first and cannot be blocked by normal blocks, Impact's effect is conditional on the defender having insufficient blocks to stop all incoming hits. It's particularly effective against units with high health but lower defense values.
6. Cover: Terrain features provide cover, adding blocks to a defending unit's defense pool. Light Cover adds 1 block, Heavy Cover adds 2. This is a fundamental defensive mechanic and can drastically reduce incoming damage.
7. Dodge Tokens: Dodge tokens are a versatile defensive modifier. Each token converts an incoming hit into an evade. Evades are powerful as they can cancel critical hits, which normal blocks cannot.
8. Line of Sight and Range: While not directly dice modifiers, these determine if an attack can even be made and at what range, which often affects the dice pool (e.g., short range bonuses). You can explore tools like a Legion Line of Sight Tool to master this aspect.

Frequently Asked Questions About Legion Dice

Related Tools and Internal Resources

Enhance your Star Wars: Legion experience with these other useful tools and guides:

• Star Wars Legion Unit Builder: Create and optimize your unit compositions.
• Legion Line of Sight Tool: Master positioning and cover by understanding line of sight rules.
• Legion Army List Optimizer: Build competitive army lists tailored to your playstyle.
• Tabletop Gaming Resources: A comprehensive collection of tools and guides for various tabletop games.
• Dice Probability Explained: Deep dive into the mathematical concepts behind dice rolls.
• Wargame Strategy Guides: Improve your tactical acumen across different wargames.