![]() ![]() Critical HitsĬritical hits complicate our damage calculations, and this is further complicated by the availability of items and class features which allow characters to score critical hits on rolls other than a natural 20. This includes things like Strength damage to weapon attacks, bonus damage from the Fighting Style (Dueling), etc. Additional DamageĪny damage not multiplied on a critical hit becomes “B”, for “Bonus”. Remember that static bonus (Craig’s +3 bonus) are not added to the value of D because they are not multiplied on a critical hit. Adding both dice (5.5 + 3.5) gives us a total of 9, which is our value for D. 1d10 averages to 5.5 damage, and 1d6 averages to 3.5 damage. Craig normally deals 1d10+3 damage with his Glaive, and adds +1d6 for the bonus damage from Hex. Die Damage d4 2.5 d6 3.5 d8 4.5 d10 5.5 d12 6.5įor Example: Craig the 1st-level Warlock casts Hex on a creature, then attacks it with a Glaive. ![]() For clarification, see this Sage Advice twitter thread from Jeremy Crawford.įor convenience, I’ve included a table of the average values of each die. This can include many sources of bonus damage: Hunter’s Mark, Hex, Sneak Attack, Divine Smite, etc. Static damage bonuses like that from Strength added to a weapon attack are omitted because those bonuses are not multiplied on a critical hit. We will define the value of our damage as “D”, for “Damage”, where D is the total of the value of the average roll of each damage die dealt by the character’s attacks. Determine this value by check the AC of a creature of the character’s level according to the table “Monster Statistics by Challenge Rating” found on page 274 of the Dungeon Master’s Guide. We will define the AC of a hypothetical enemy as “M”, for “Monster”. We will define our attack bonus as “A”, for “Attack”. This establishes a crucial balance between attack bonus and damage which is central to the DPR score. If the character’s attack bonus is great but their damage is poor, their DPR will suffer. If a character’s attack bonus is terrible, their DPR will suffer greatly because they can’t hit anything. The simplest part of DPR is the character’s attack and damage rolls, and they’re the most important part of the equation. This stretches the limits of my understanding of statistics, and The Basics If you’re not interested in the explanation of the logic behind the DPR calculation, or if you don’t enjoy algebra and statistics, I won’t blame you for backing out of this article. DPR indicates the average amount of damage a single character can deal over the course of a single round assuming no action or intervention from other creatures or from other outside forces. The purpose of this article is to establish a mathematically robust way to calculate “damage per round” (DPR) that takes into account the games various mechanics so that we can make objective, factual comparisons when weighing decisions with unclear results. But simply adding a damage bonus to your attacks doesn’t give us a complete picture, and choosing between a bonus to attacks or a bonus to damage is mostly guess work. ![]() In a game where one point of damage is the difference between getting a turn and lying on the ground dying, dealing a few more points of damage is important. ![]()
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