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<blockquote data-quote="NotAYakk" data-source="post: 8791511" data-attributes="member: 72555">Again, many posts about the effect of takng the CDF and dividing by the variance.Examples where I did it.Explanations why the curve part doesn't matter.And... people still think the curve is somehow the important part.Yes, I know the shape.And it does not matter, because the integral of the shape, subtracring the average, and horizintally scaling by the SD makes the curvyness effect small enough it would take a huge sample to detect it.And roll over games efdectively integrate the curve, which smooths it enough.That is the red paint.Play d10+5 vs DC.Play 3d6 vs DC.Play d20 vs (DC-10)*2+10.5The difference is red paint.The fat part of the 3d6 doesn't matter enough.except it plays the same.Really.That is what I am saying.&nbsp; The gap between 1d10 flat curve roll-over and 3d6 roll over is surprisingly small.Go to anydice and graph it.&nbsp; I have above in previous posts.... yes it does?You dice roll says pass or fail.If the pass/fail rate is almost identical in two systems, then the difference is cosmetic - red paint.My entire point is that the impact of the bell curve of 3d6 is red paint.&nbsp; If you graph P(3d6&gt;=K) (probability you get a K or higher in 3d6) 90%+ of the graph is only slightly off a stait line.&nbsp; In the range K from 6 to 15, P(3d6&gt;=K) is within a few percent of (K-5)*10%.I didn't know it was as close as it is until I tried it.&nbsp; And it really is close.</blockquote>

[QUOTE="NotAYakk, post: 8791511, member: 72555"] Again, many posts about the effect of takng the CDF and dividing by the variance. Examples where I did it. Explanations why the curve part doesn't matter. And... people still think the curve is somehow the important part. Yes, I know the shape. And it does not matter, because the integral of the shape, subtracring the average, and horizintally scaling by the SD makes the curvyness effect small enough it would take a huge sample to detect it. And roll over games efdectively integrate the curve, which smooths it enough. That is the red paint. Play d10+5 vs DC. Play 3d6 vs DC. Play d20 vs (DC-10)*2+10.5 The difference is red paint. The fat part of the 3d6 doesn't matter enough. except it plays the same. Really. That is what I am saying. The gap between 1d10 flat curve roll-over and 3d6 roll over is surprisingly small. Go to anydice and graph it. I have above in previous posts. ... yes it does? You dice roll says pass or fail. If the pass/fail rate is almost identical in two systems, then the difference is cosmetic - red paint. My entire point is that the impact of the bell curve of 3d6 is red paint. If you graph P(3d6>=K) (probability you get a K or higher in 3d6) 90%+ of the graph is only slightly off a stait line. In the range K from 6 to 15, P(3d6>=K) is within a few percent of (K-5)*10%. I didn't know it was as close as it is until I tried it. And it really is close. [/QUOTE]

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