Expert Reviewer: David Chen, TTRPG Strategist & Mathematics Consultant
Optimize your character’s efficiency with this professional **D&D 5e combat calculator**. Calculate your expected Damage Per Round (DPR) by factoring in Armor Class (AC), modifiers, advantage, and critical hit thresholds.
D&D 5e Combat Calculator
D&D 5e Combat Calculator Formula:
DPR = [P(Hit) × (AvgDice + Mod)] + [P(Crit) × AvgDice]
Formula Source: D&D Beyond Basic Rules, Roll20 Compendium
Variables:
- Attack Bonus: Total modifier added to your d20 roll to hit.
- Target AC: The Armor Class of the creature you are attacking.
- Dice: The damage dice of the weapon or spell (e.g., 1d8).
- Modifier: Static bonuses from Strength, Dexterity, or magic.
- Crit Range: The minimum roll needed for a critical hit (usually 20).
Related Calculators:
What is a D&D 5e Combat Calculator?
A D&D 5e combat calculator is a mathematical tool used by players and Dungeon Masters to estimate the average damage a character will deal over time. In 5th Edition, combat is based on probability. This tool accounts for the “bounded accuracy” system where the difference between your Attack Bonus and the Target’s AC determines your chance of success.
Understanding DPR is vital for optimizing builds and balancing encounters. It provides a baseline for comparing different weapons (e.g., a Greatsword vs. Longsword) or feats like Great Weapon Master or Sharpshooter, which trade hit probability for massive damage boosts.
How to Calculate D&D 5e Combat Calculator (Example):
- Determine your chance to hit:
(21 - (AC - Atk Bonus)) / 20. - Calculate average dice damage:
(Dice Sides + 1) / 2. - Calculate Critical Hit probability (usually 5% or 0.05).
- Multiply hit chance by (Average Dice + Static Bonus).
- Add the crit chance multiplied by the Average Dice (extra crit damage).
Frequently Asked Questions (FAQ):
How does Advantage affect the calculator? Advantage allows you to roll two d20s and take the higher, significantly increasing your probability of hitting and critting.
Is a Natural 1 always a miss? Yes, in D&D 5e, a natural 1 is an automatic failure, regardless of your modifiers. This calculator accounts for the 5% minimum miss chance.
What about Critical Hits? In standard 5e, a critical hit doubles the damage dice rolled. Our calculator adds this extra expected value to your total DPR.
Does this include Great Weapon Master? You can simulate GWM by subtracting 5 from your Attack Bonus and adding 10 to your Damage Modifier.