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<blockquote data-quote="Agback" data-source="post: 2907404" data-attributes="member: 5328"><p>Yes you are.</p><p></p><p></p><p></p><p>No. He doesn't take 9.075 points of damage every round. He can take any integer amount from none to 24 on any given round. It is only on average that he takes 9.075, and on average he lasts 1.98 rounds. When you treat that as definitely dying before his third round starts you are rounding off. Sometimes he will die in the first round without gloving the trogs at all, sometiimes he will kill all three without taking a scratch. You cannot treat this distribution as a definite outcome at teh expected value.</p><p></p><p></p><p></p><p>No, he survives on average for 2.05 rounds. Which is on average 0.07 rounds longer than the strong monk. When you treat that as definitely surviving for a whole extra round you are in effect rounding off. And screwing up. You cannot treat an expected survival time of 1.98 rounds as definitely dying after making two attacks. You cannot treat an expected survival time of 2.05 rounds as definitely surviving to make a third attack.</p><p></p><p></p><p></p><p>No he didn't. He got in trouble because your invalid rounding habits worked out to his disadvantage in that particular scenario.</p><p></p><p></p><p></p><p>Their hit bonus does alter the percentage by which the strong monk outclasses the dextrous monk. The better the opponents' AB is, the greater the advantage to the <em>strong</em> monk.</p><p></p><p>Number of opponents, their damage output, and their number of attacks do not alter the comparison between the strong monk and the dextrous monk.</p><p></p><p></p><p></p><p>You are quite wrong about that. If you can't see why from the algebra and explanations I posted above I am just going to have to ask you to believe me. I <em>am</em> a math whizz. I did an <em>entire major</em> in statistics.</p></blockquote><p></p>
[QUOTE="Agback, post: 2907404, member: 5328"] Yes you are. No. He doesn't take 9.075 points of damage every round. He can take any integer amount from none to 24 on any given round. It is only on average that he takes 9.075, and on average he lasts 1.98 rounds. When you treat that as definitely dying before his third round starts you are rounding off. Sometimes he will die in the first round without gloving the trogs at all, sometiimes he will kill all three without taking a scratch. You cannot treat this distribution as a definite outcome at teh expected value. No, he survives on average for 2.05 rounds. Which is on average 0.07 rounds longer than the strong monk. When you treat that as definitely surviving for a whole extra round you are in effect rounding off. And screwing up. You cannot treat an expected survival time of 1.98 rounds as definitely dying after making two attacks. You cannot treat an expected survival time of 2.05 rounds as definitely surviving to make a third attack. No he didn't. He got in trouble because your invalid rounding habits worked out to his disadvantage in that particular scenario. Their hit bonus does alter the percentage by which the strong monk outclasses the dextrous monk. The better the opponents' AB is, the greater the advantage to the [i]strong[/i] monk. Number of opponents, their damage output, and their number of attacks do not alter the comparison between the strong monk and the dextrous monk. You are quite wrong about that. If you can't see why from the algebra and explanations I posted above I am just going to have to ask you to believe me. I [i]am[/i] a math whizz. I did an [i]entire major[/i] in statistics. [/QUOTE]
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