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<blockquote data-quote="The Shadow" data-source="post: 6003239" data-attributes="member: 16760">It just occurred to me to run the same analysis taking Combat Superiority into account.&nbsp; The following will assume the use of only one expertise die for Deadly Strike.Max damage is now d + c + b, and average damage is now d/2 + c/2 + b + 1.&nbsp; (Where c is the expertise die type.)So Battlerager would be a net benefit if:(d + c + b)*p &gt; d/2 + c/2 + b + 1(2p-1)(d + c) + (p-1)b &gt; 1(2p-1)(d + c) &gt; 1 + (1-p)bOnce again, there are three cases:p=0.5: b &lt; -2.&nbsp; Even worse than before.p&lt;0.5: d + c &lt; [1 + (1-p)b]/(2p-1).&nbsp; Once again, this is impossible, so there is no net benefit.p&gt;0.5: d + c &gt; [1 + (1-p)b]/(2p-1).&nbsp; Here there is a ray of hope!In the worst case scenario, p=0.55 (and assuming b=3), d + c must be greater than 23.5.&nbsp; This is actually achievable, if expertise dice ever go up to d12's.&nbsp; (For b=4, it goes up to 28.)The breakeven point for d=12 and c=6 (ie, a 1st level fighter with a greataxe) is 0.564, only barely better than 0.55.&nbsp; In other words, hitting on a 9.At 4th level, with c=8, it's 0.558. (9 again.)&nbsp; With b=4, it's not significantly different.With d=8, c=6, the breakeven is 0.594, or still a 9, though barely.So:&nbsp; Combat Superiority makes maximum-damage Battlerager more attractive.&nbsp; With realistic melee stats and a halfway decent weapon, a fighter will get a net benefit from it against foes he can hit on a 9 or better.&nbsp; If his dice ever go up to d12, he can raise that to 10 or better.&nbsp; For that matter, if he uses more dice, he can likewise get it to 10.&nbsp; But he seemingly can't get it any higher than that, though I haven't analyzed it in detail.Still, if he has an 18 Str, a roll of 9 will hit AC 16 even at first level, so it doesn't seem that bad.</blockquote>

[QUOTE="The Shadow, post: 6003239, member: 16760"] It just occurred to me to run the same analysis taking Combat Superiority into account. The following will assume the use of only one expertise die for Deadly Strike. Max damage is now d + c + b, and average damage is now d/2 + c/2 + b + 1. (Where c is the expertise die type.) So Battlerager would be a net benefit if: (d + c + b)*p > d/2 + c/2 + b + 1 (2p-1)(d + c) + (p-1)b > 1 (2p-1)(d + c) > 1 + (1-p)b Once again, there are three cases: p=0.5: b < -2. Even worse than before. p<0.5: d + c < [1 + (1-p)b]/(2p-1). Once again, this is impossible, so there is no net benefit. p>0.5: d + c > [1 + (1-p)b]/(2p-1). Here there is a ray of hope! In the worst case scenario, p=0.55 (and assuming b=3), d + c must be greater than 23.5. This is actually achievable, if expertise dice ever go up to d12's. (For b=4, it goes up to 28.) The breakeven point for d=12 and c=6 (ie, a 1st level fighter with a greataxe) is 0.564, only barely better than 0.55. In other words, hitting on a 9. At 4th level, with c=8, it's 0.558. (9 again.) With b=4, it's not significantly different. With d=8, c=6, the breakeven is 0.594, or still a 9, though barely. So: Combat Superiority makes maximum-damage Battlerager more attractive. With realistic melee stats and a halfway decent weapon, a fighter will get a net benefit from it against foes he can hit on a 9 or better. If his dice ever go up to d12, he can raise that to 10 or better. For that matter, if he uses more dice, he can likewise get it to 10. But he seemingly can't get it any higher than that, though I haven't analyzed it in detail. Still, if he has an 18 Str, a roll of 9 will hit AC 16 even at first level, so it doesn't seem that bad. [/QUOTE]

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