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General Tabletop Discussion
*Dungeons & Dragons
The mathematics of D&D–Damage and HP
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<blockquote data-quote="Asisreo" data-source="post: 8219986" data-attributes="member: 7019027"><p>We can also add economics into this discussion when analyzing individual cases. </p><p></p><p>For example, if you're a fighter at level 1 with a 65% chance to-hit and do 10 average (expected) damage on average. You expect to do 6.5 DPR. That's the damage value of your action. </p><p></p><p>But when you take an action, there's a 35% chance you miss and a 15% chance you do less than 6.5 damage on hit. Meaning that when you take that action, it can be considered a loss in a gamble. </p><p></p><p>Spellcasters are at an even greater disadvantage since they usually have to expend a spell slot for their damage. For example, a sorcerer casting Chromatic Orb does an expected 13.5 damage. With a 65% to-hit, that's 8.775 expected damage. </p><p></p><p>We can isolate the damage value of the spell slot expended itself by comparing their highest damage option without expending the slot. This highest damage option, lets say its firebolt. Firebolt has an expected 5.5 damage with a 65% chance to-hit making it 3.575. Therefore, the spell slot expended for Chromatic Orb had a value of 8.775-3.575 = 5.2 damage/slot. </p><p></p><p>As this sorcerer, if your damage is less than 8.775 but higher than 3.575, you didn't get the full value for your spell slot. If your damage is less than 3.575, you lost the value of both your action and your spell slot.</p></blockquote><p></p>
[QUOTE="Asisreo, post: 8219986, member: 7019027"] We can also add economics into this discussion when analyzing individual cases. For example, if you're a fighter at level 1 with a 65% chance to-hit and do 10 average (expected) damage on average. You expect to do 6.5 DPR. That's the damage value of your action. But when you take an action, there's a 35% chance you miss and a 15% chance you do less than 6.5 damage on hit. Meaning that when you take that action, it can be considered a loss in a gamble. Spellcasters are at an even greater disadvantage since they usually have to expend a spell slot for their damage. For example, a sorcerer casting Chromatic Orb does an expected 13.5 damage. With a 65% to-hit, that's 8.775 expected damage. We can isolate the damage value of the spell slot expended itself by comparing their highest damage option without expending the slot. This highest damage option, lets say its firebolt. Firebolt has an expected 5.5 damage with a 65% chance to-hit making it 3.575. Therefore, the spell slot expended for Chromatic Orb had a value of 8.775-3.575 = 5.2 damage/slot. As this sorcerer, if your damage is less than 8.775 but higher than 3.575, you didn't get the full value for your spell slot. If your damage is less than 3.575, you lost the value of both your action and your spell slot. [/QUOTE]
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The mathematics of D&D–Damage and HP
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