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PowerAttacking

attack roll is:

d20 bab str + mods – pa – AC > 0.

damage is:

(average str 1.5 pa 2) hit_ratio

hit_ratio for attack +1 vs AC 12 is 11..20 = 0.5 hit_ratio for attack +2 vs AC 12 is 10..20 = 0.45 so hit_ratio is (AC – mod – 1) / 20

damage is:

(avg str 1.5 pa 2) (AC – bab – str + pa – 1) / 20