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Will_Newsome comments on Abnormal Cryonics - Less Wrong
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I wasn't using a normal distribution in my original formulation, though: the mean of the picture in my head was around 1 in a million with a longer tail to the right (towards 100%) and a shorter tail to the left (towards 0%) (on a log scale?). It could be that I was doing something stupid by making one tail longer than the other?
It would only be suspicious if your resulting probability were a sum of very many independent, similarly probable alternatives (such sums do look normal even if the individual alternatives aren't).