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Expected Damage Corrected

So I finally got around to making a spreadsheet for expected damage.  It can be downloaded here.  Leave a comment if you would like to see it in a different format.

The formula for expected damage with criticals is now give by this equation:


E{damage}=Phit*Mdmg+Pcrit*Phit*(CritM-1)*Mcrit,dmg

Phit = Probability of Hit = (20-(AC-Attack))/20; 1/20

Mdmg = Mean Damage =(Max Damage + Min Damage)/2

Mdmg, crit = Mean damage that is multiplied by a crit

Pcrit = Probability of a crit = Crit Rolls / 20

Crit Rolls = the number of side on the d20 that result in a crit (so 17-20 would be a crit roll of 4)

CritM = crit multiplier

Some example numbers:
Expected Damage ED no Crit Prob of Crit Prob of Hit Target AC Attack Bonus Critical Rolls Crit Multiplier Min Damage Max Damage
3.675 3.5 0.05 0.5 20 10 1 2 2 12
3.85 3.5 0.1 0.5 20 10 2 2 2 12
4.025 3.5 0.15 0.5 20 10 3 2 2 12
4.2 3.5 0.2 0.5 20 10 4 2 2 12
3.85 3.5 0.05 0.5 20 10 1 3 2 12
4.2 3.5 0.1 0.5 20 10 2 3 2 12
4.55 3.5 0.15 0.5 20 10 3 3 2 12
4.9 3.5 0.2 0.5 20 10 4 3 2 12
4.025 3.5 0.05 0.5 20 10 1 4 2 12
4.55 3.5 0.1 0.5 20 10 2 4 2 12
5.075 3.5 0.15 0.5 20 10 3 4 2 12
5.6 3.5 0.2 0.5 20 10 4 4 2 12



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