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<blockquote data-quote="Cheiromancer" data-source="post: 2763706" data-attributes="member: 141">Adding an extra d20 would add, on average 10.5 to your rolls.&nbsp; I could see that at certain intervals you would subtract 10, say, from your bonus and add another d20, but it would involve a rather &quot;lumpy&quot; progression.Say you introduce it at epic levels.&nbsp; A fighter with a +20 BAB and +10 in various modifiers (strength, weapon focus, etc) hits AC 31 on anything but a 1.&nbsp; He has a very small chance of hitting AC 50.&nbsp; Suppose he loses 10 points of bonuses and gets to roll 2d20 instead of 1d20.&nbsp; Now he misses AC 31 a lot more often, but has a better chance of hitting AC 50.(He misses AC 31 if 2d20 comes up 2-10; which is 45 chances out of 400, or 11%, vs 5% previously.&nbsp; He hits AC 50 if 2d20 comes up 30 or higher, which is 66/400, or 15%, vs 5% previously.)This kind of discontinuity is a little hard to justify; why does his chance of hitting AC 31 go down?</blockquote>

[QUOTE="Cheiromancer, post: 2763706, member: 141"] Adding an extra d20 would add, on average 10.5 to your rolls. I could see that at certain intervals you would subtract 10, say, from your bonus and add another d20, but it would involve a rather "lumpy" progression. Say you introduce it at epic levels. A fighter with a +20 BAB and +10 in various modifiers (strength, weapon focus, etc) hits AC 31 on anything but a 1. He has a very small chance of hitting AC 50. Suppose he loses 10 points of bonuses and gets to roll 2d20 instead of 1d20. Now he misses AC 31 a lot more often, but has a better chance of hitting AC 50. (He misses AC 31 if 2d20 comes up 2-10; which is 45 chances out of 400, or 11%, vs 5% previously. He hits AC 50 if 2d20 comes up 30 or higher, which is 66/400, or 15%, vs 5% previously.) This kind of discontinuity is a little hard to justify; why does his chance of hitting AC 31 go down? [/QUOTE]

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