Reviewed by: David Chen
Tabletop Wargaming Strategist & Data Analyst
Optimize your tabletop strategy with our 40k dice calculator. This professional-grade tool uses expected value probability models to help players predict damage output and unit survivability in Warhammer 40,000 matches.
40k Dice Calculator
Expected Wounds Inflicted:
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40k dice calculator Formula:
Formula Source: Warhammer Official Core Rules & Goonhammer Math.
Variables:
- Attacks (A): Total number of dice rolled for the attack sequence.
- Skill (BS/WS): The target roll needed to hit (e.g., a 3+ means 4/6 probability).
- S vs T: Comparing Strength vs Toughness determines the wound roll required (2+ to 6+).
- AP & Save: Armor Penetration modifies the target’s Save roll.
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What is 40k dice calculator?
A 40k dice calculator is an essential tool for competitive Warhammer 40,000 players. It converts the randomness of D6 rolls into mathematical expected values (EV). By understanding the statistical outcome of a shooting or fight phase, players can make informed tactical decisions on which targets to prioritize.
Statistical modeling in 40k accounts for the “average” outcome over thousands of simulations. While a single game might see “hot” or “cold” dice, the 40k dice calculator provides the baseline reality for tournament-level list building and strategy.
How to Calculate 40k dice calculator (Example):
- Step 1: Determine hits. If you have 10 attacks at BS 3+, you hit on a 3, 4, 5, or 6 (4/6 or 66.6%). Expected hits = 6.67.
- Step 2: Calculate wounds. If Strength 4 attacks hit Toughness 4, you wound on a 4+ (3/6). Expected wounds = 3.33.
- Step 3: Apply saves. If the target has a 3+ save and you have AP 0, they fail on a 1 or 2 (2/6).
- Step 4: Final Result = 3.33 wounds * (2/6 failure rate) = 1.11 total wounds.
Frequently Asked Questions (FAQ):
Does this calculator account for re-rolls? This basic version focuses on raw stats. Advanced rules like “Reroll 1s” significantly increase the hit/wound probability.
What does a 7+ save mean? In 40k math, a 7+ means the save is impossible unless a modifier improves the roll.
Is Strength vs Toughness linear? No, it follows a stepped bracket (Double S vs T, S > T, S = T, etc.).
How accurate is Expected Value (EV)? EV represents the average. In reality, variance (luck) will cause actual results to fluctuate around this number.