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<blockquote data-quote="Ovinomancer" data-source="post: 7894064" data-attributes="member: 16814">But, they are not, because the DC are at different scales in each.&nbsp; DC exist only in steos of 2 in the 2*3d6 scheme, because you cannot roll at half step intervals.&nbsp; That you can imagine, and even compute, a different probabilty question for the half steps&nbsp; doesn't mean you can suddenly roll those numbers.&nbsp; And, as you note in your hypo, rolling non-existent numbers is a bit of a problem.&nbsp; You can't use a resolution mechanic that's at a lower resolution (heh) than your targets.In other words, while you can imagine and do math to get a probability fir a half step target number, the functional result of this is that the half step doesn't exist -- the probability of rolling above the half step is shared by the probability of rolling the next highest full step or greater.&nbsp; It's not a separate event, it is the same event with a slightly rephrased pribability question.&nbsp; Example:&nbsp; if I ask what the odds of rolling greater than a 12 on 2*3d6-10, this is tge same event as answered by asking what tge idds of rolling 13 or greater.&nbsp; It's not a separate event -- it's tge same exact thing.&nbsp; Yet, you've asked these two as if they are the sane and plotted then in the sane PDF as if they are the same.&nbsp; You've completely missed this, even when your PDF no longer sums to 1.Half steps don't exist in the scaled 3d6 scheme, just like fractional steps don't exist in the unscaled 3d6 scheme.</blockquote>

[QUOTE="Ovinomancer, post: 7894064, member: 16814"] But, they are not, because the DC are at different scales in each. DC exist only in steos of 2 in the 2*3d6 scheme, because you cannot roll at half step intervals. That you can imagine, and even compute, a different probabilty question for the half steps doesn't mean you can suddenly roll those numbers. And, as you note in your hypo, rolling non-existent numbers is a bit of a problem. You can't use a resolution mechanic that's at a lower resolution (heh) than your targets. In other words, while you can imagine and do math to get a probability fir a half step target number, the functional result of this is that the half step doesn't exist -- the probability of rolling above the half step is shared by the probability of rolling the next highest full step or greater. It's not a separate event, it is the same event with a slightly rephrased pribability question. Example: if I ask what the odds of rolling greater than a 12 on 2*3d6-10, this is tge same event as answered by asking what tge idds of rolling 13 or greater. It's not a separate event -- it's tge same exact thing. Yet, you've asked these two as if they are the sane and plotted then in the sane PDF as if they are the same. You've completely missed this, even when your PDF no longer sums to 1. Half steps don't exist in the scaled 3d6 scheme, just like fractional steps don't exist in the unscaled 3d6 scheme. [/QUOTE]

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