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Evaluating Range versus Damage (SS vs GWM) - putting a price on range
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<blockquote data-quote="guachi" data-source="post: 7234100" data-attributes="member: 6785802"><p>Just responding to this point. I'll respond to your other points when I have more time later.</p><p></p><p>It's important to make assumptions and keep variables as low as possible before adding more. So assuming a Champion Fighter attacking a single target dummy with infinite HP means we don't have to consider Battlemaster maneuvers or bonus action attacks from dropping a foe to zero.</p><p></p><p>That said, I think your math is wrong here.</p><p></p><p>The chance of getting a bonus attack solely from critical hits for a level 11 Champion is equal to the chance of getting at least one critical hit. You only have one bonus action so you can't get any more than one bonus attack. The chance of getting at least one critical hit is (1 - chance_of_no_critical_hits) That chance is 1-.9*.9*.9 = .271.</p><p></p><p>Therefore, the extra damage at level 11 is .271 times whatever the normal expected damage on an attack is.</p><p></p><p> Average damage on a hit for a character with 18 STR, GWM, GWF w/ a two-handed weapon:</p><p>4 (STR)</p><p>+10 (GWM)</p><p>+8.33 (GWF w/two-hander rerolling 1s and 2s)</p><p>=22.33</p><p></p><p>Extra damage on a critical hit:</p><p>+8.33</p><p></p><p>The hit chance is .45 and the critical chance is .1. That yields a formula for average damage on an attack as:</p><p></p><p>hit_chance*avg_dmg_on_hit + crit_chance*bonus_dmg_on_crit or</p><p>.45*22.33+.1*8.33 = <span style="color: #FF0000">10.88</span></p><p></p><p>So the extra expected damage per turn from your bonus action attacks are:</p><p>.271*10.88 = <span style="color: #FF0000">2.95</span></p></blockquote><p></p>
[QUOTE="guachi, post: 7234100, member: 6785802"] Just responding to this point. I'll respond to your other points when I have more time later. It's important to make assumptions and keep variables as low as possible before adding more. So assuming a Champion Fighter attacking a single target dummy with infinite HP means we don't have to consider Battlemaster maneuvers or bonus action attacks from dropping a foe to zero. That said, I think your math is wrong here. The chance of getting a bonus attack solely from critical hits for a level 11 Champion is equal to the chance of getting at least one critical hit. You only have one bonus action so you can't get any more than one bonus attack. The chance of getting at least one critical hit is (1 - chance_of_no_critical_hits) That chance is 1-.9*.9*.9 = .271. Therefore, the extra damage at level 11 is .271 times whatever the normal expected damage on an attack is. Average damage on a hit for a character with 18 STR, GWM, GWF w/ a two-handed weapon: 4 (STR) +10 (GWM) +8.33 (GWF w/two-hander rerolling 1s and 2s) =22.33 Extra damage on a critical hit: +8.33 The hit chance is .45 and the critical chance is .1. That yields a formula for average damage on an attack as: hit_chance*avg_dmg_on_hit + crit_chance*bonus_dmg_on_crit or .45*22.33+.1*8.33 = [COLOR="#FF0000"]10.88[/COLOR] So the extra expected damage per turn from your bonus action attacks are: .271*10.88 = [COLOR="#FF0000"]2.95[/COLOR] [/QUOTE]
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