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Message: <blockquote data-quote="The Crimson Binome" data-source="post: 7577733" data-attributes="member: 6775031">I was thinking about probability distributions for core resolution mechanics, and I don't like how the D&D 5E Advantage/Disadvantage system converts a linear distribution into a weighted one. I was thinking that a mechanic where you roll three dice, then keep one of them depending on circumstances, would be more palatable in this regard; but I can't intuit what the distribution would actually look like, off the top of my head. What's the chance of rolling a 2 or an 11, on 3d20 (keep low) or 3d20 (keep middle)?Or more the point, for my own purposes, what's the probability distribution look like for 3d8 (keep low), (keep middle), and (keep high)? Does someone have a convenient calculator or article with that listed out?</blockquote>