Warhammer Dice Calculator

Warhammer dice calculator: enter attacks, hit roll, strength, toughness, AP, saves, damage and rerolls to see the expected hits, wounds, failed saves, damage and models killed.

Attack

Expected result

Expected damage–
Hits–
Wounds–
Failed saves–
Models killed (about)–
Wound roll needed–
Save used–
Damage per attack–

Hit chance = (7 − target) ÷ 6; reroll 1s adds 1/6 of that again, reroll all adds (miss chance × hit chance). Wound roll: S ≥ 2T needs 2+, S > T 3+, S = T 4+, S < T 5+, S ≤ T/2 6+. Save = armour save + AP, or the invulnerable save if better; a 1 always fails. Feel No Pain stops each point of damage on its roll. All results are averages: actual dice swing a lot either side.

Maths checked by Josh Miller · updated Nov 2026How we calculate →

A Warhammer dice calculator does the mathhammer for you before you commit a unit. Twenty shots hitting on 3+ gives about 13 hits. At strength 4 against toughness 4 you wound on 4+, so about 6.7 wounds. Against a 3+ save with AP-1 they save on 4+, so roughly 3.3 get through. One damage each: 3.3 dead models on average. The free calculator above runs that chain for any profile, with rerolls, invulnerable saves and Feel No Pain.

How the Warhammer dice calculator works

Each step is a probability multiplied into the next:

Hits = attacks × (7 − hit target) ÷ 6
Wounds = hits × wound chance (from strength vs toughness)
Failed saves = wounds × chance the save fails
Damage = failed saves × damage × chance Feel No Pain fails

The wound roll follows the usual chart: S at least double T wounds on 2+, S greater than T on 3+, equal on 4+, lower on 5+, and half or less on 6+. The save is the armour save worsened by AP, or the invulnerable save if that’s better, and a roll of 1 always fails.

Rerolling 1s adds a sixth of your success chance again; rerolling all failures adds the miss chance times the success chance. On a 3+ to hit, rerolling 1s turns 66.7% into 77.8%, and full rerolls take it to 88.9%.

Models killed

Damage doesn’t carry over between models, so the calculator rounds kills per model. Two-damage shots into three-wound models need two failed saves per kill, the same as into four-wound models. That’s why matching damage to wounds matters so much when you pick targets.

These are averages. A squad of ten rolls is swingy, and you’ll beat or miss the average by a few models a lot of the time. For a full distribution of totals, the dice probability calculator handles any pool of dice.

Warhammer is a trademark of Games Workshop. This calculator is an independent fan tool and isn’t affiliated with or endorsed by them.

For roleplaying games rather than wargames, the DnD dice roller rolls a d20 with advantage or any mix of dice in notation.

Frequently asked questions

How do you calculate expected damage in 40K?

Multiply attacks by the chance to hit, then by the chance to wound, then by the chance the save fails, then by damage per wound.

What do I need to wound in Warhammer 40K?

2+ if strength is at least double toughness, 3+ if higher, 4+ if equal, 5+ if lower, 6+ if half or less.

How much do rerolls of 1 help?

They add one sixth of your success chance. A 3+ hit roll goes from 66.7% to 77.8%.

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