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"Ouch?!" - improved crit or +2 damage?
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<blockquote data-quote="FreeTheSlaves" data-source="post: 2492318" data-attributes="member: 9952"><p>Here is some help if you really want to get gritty with the maths (Courtesy of 'Nail')</p><p><span style="font-size: 9px"></span></p><p><span style="font-size: 9px">Layout is the following: A = P{D[1+Pc(Mc-1)] + Db}</span></p><p><span style="font-size: 9px">For bonus critical dice I insert: +Bd[Pc(Mc-1)] after the Db & before the closing }</span></p><p><span style="font-size: 9px">If the chance to hit is different to the chance to confirm the critical use: A = P{D[1+(Pt/P)Pc(M-1)]+Db}</span></p><p><span style="font-size: 9px"></span></p><p><span style="font-size: 9px">where </span></p><p><span style="font-size: 9px">A = average damage per attack</span></p><p><span style="font-size: 9px">P = Probability to hit, as a fraction</span></p><p><span style="font-size: 9px">D = average weapon damage plus Str, Magic, etc</span></p><p><span style="font-size: 9px">Pc = Probability to Threaten, as a fraction</span></p><p><span style="font-size: 9px">Mc= Critical Multiplier</span></p><p><span style="font-size: 9px">Db = Bonus Damage dice that are not multiplied by a confirmed critical</span></p><p><span style="font-size: 9px">Bd = Bonus die average damage that only occurs on confirmed criticals</span></p><p>E.g. 8th level fighter (ab+14/+9 vs AC20).</p><p></p><p>Vanilla Longsword</p><p>7.0125 = 0.75{8.5[1+0.1(2-1)]}</p><p>4.675 = 0.50{8.5[1+0.1(2-1)]}</p><p>11.6875</p><p></p><p>****</p><p></p><p>Just run the 2 sets of numbers for the same base character to see which is better; a rule of thumb is that the average damage needs to be 20+ with a martial weapon for improved critical start being better than the flat +2.</p></blockquote><p></p>
[QUOTE="FreeTheSlaves, post: 2492318, member: 9952"] Here is some help if you really want to get gritty with the maths (Courtesy of 'Nail') [SIZE=1] Layout is the following: A = P{D[1+Pc(Mc-1)] + Db} For bonus critical dice I insert: +Bd[Pc(Mc-1)] after the Db & before the closing } If the chance to hit is different to the chance to confirm the critical use: A = P{D[1+(Pt/P)Pc(M-1)]+Db} where A = average damage per attack P = Probability to hit, as a fraction D = average weapon damage plus Str, Magic, etc Pc = Probability to Threaten, as a fraction Mc= Critical Multiplier Db = Bonus Damage dice that are not multiplied by a confirmed critical Bd = Bonus die average damage that only occurs on confirmed criticals[/SIZE] E.g. 8th level fighter (ab+14/+9 vs AC20). Vanilla Longsword 7.0125 = 0.75{8.5[1+0.1(2-1)]} 4.675 = 0.50{8.5[1+0.1(2-1)]} 11.6875 **** Just run the 2 sets of numbers for the same base character to see which is better; a rule of thumb is that the average damage needs to be 20+ with a martial weapon for improved critical start being better than the flat +2. [/QUOTE]
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"Ouch?!" - improved crit or +2 damage?
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