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Message: <blockquote data-quote="Esker" data-source="post: 7609457" data-attributes="member: 6966824">Here's an example:Path 1: Level 4 Rogue with 18 DEX and Elven Accuracy, one attack with a longbowPath 2: Level 4 Rogue with 17 DEX and Sharpshooter, one "power attack" with a longbowPath 3: Level 4 Rogue with Crossbow Expert and 17 DEX, two attacks with a hand crossbowBoth have: 2d6 sneak attack, +2 proficiency, assumed advantage on 1st attack, and for path 3, assume an ally adjacent to the second target to proc sneak attack if the first attack missesPath 1 (Elven Accuracy): Damage on Hit: 1d8+2d6+4Average Damage on Hit: 4.5 + 2 * 3.5 + 4 = 15.5Avg Extra Damage on Crit: 1d8+2d6 = 11.5Attack Mod: +6Base To-Hit vs AC 15: 0.60To-Hit (Advantage): (1 - (1 - 0.60)^3) = 0.936To-Crit (Advantage): (1 - (1 - 0.05)^3) = 0.143Total Expected Damage: (to-hit-adv) * (dmg-on-hit) + (to-crit-adv) * (extra-dmg-on-crit)= 0.936*15.5 + 0.143 * 11.5 = 16.2Path 2 (Sharpshooter): Damage on Hit: 1d8+2d6+13Average Damage on Hit: 4.5 + 2 * 3.5 + 3 = 24.5Avg Extra Damage on Crit: 1d8+2d6 = 11.5Attack Mod: +0Base To-Hit vs AC 15: 0.30To-Hit (Advantage): (1 - (1 - 0.30)^2) = 0.51To-Crit (Advantage): (1 - (1 - 0.05)^2) = 0.0975Total Expected Damage: (to-hit-adv) * (dmg-on-hit) + (to-crit-adv) * (extra-dmg-on-crit)= 0.51*24.5 + 0.0975 * 11.5 = 13.6Path 3 (Xbow Expert): This one is a bit complicated because the damage that the second attack does depends on whether the first attack hit or not.Base Damage per Hit: 1d6+3Average Base per Hit: 3.5 + 3 = 6.5Avg Sneak Damage (once per turn): 2d6 = 7Avg Extra Damage 1st Crit: 3d6 = 10.5Avg Extra Damage 2nd Crit: 1d6 = 3.5Attack Mod: +5Base To-Hit vs AC 15: 0.55To-Hit (Advantage): (1 - (1 - 0.55)^2) = 0.798To-Crit (Advantage): (1 - (1 - 0.05)^2) = 0.0975Total Expected Damage: (to-hit-advantage) * (base-damage + sneak-damage) + (to-crit-advantage) * (full-crit-damage) + (1st-hits)*[(base-to-hit)*(base-damage) + (base-to-crit)*(crit-damage-no-sneak)] + (1st-misses)*[(base-to-hit)*(base-damage + sneak-damage) + (base-to-crit)*(full-crit-damage)]= 0.798 * (6.5 + 7) + 0.0975 * (10.5) + 0.798 * [0.55 * 6.5 + 0.05 * 3.5] + (1 - 0.798) * [0.55 * (6.5 + 7) + 0.05 * 10.5]= 16.4</blockquote>

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