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Message: <blockquote data-quote="Puggins" data-source="post: 5103509" data-attributes="member: 12386">the difference that dedekind alluded to is that the two-roll method is non-linear.  The 6% difference is at 15+ is not the largest difference- the largest is at 10.  Only 25% of all results of the two-roll method are 10 or less, whereas 35% of d20+3 are 10 or less.  Either method makes a "below average" roll  (10 or less on a plain-jane d20 roll) less likely, but the two-roll method produces such a result almost 30% less often.  If you as a player prefer to roll as few "poor" rolls as possible, the two-roll wins by a reasonable margin.  It's the same reason why the Avenger's class feature is worth more than a +3, especially against anything except soldiers.Honestly, though, I think either one works perfectly well so longer as you have no critical failure or success house rule effects.</blockquote>