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Message: <blockquote data-quote="Ferghis" data-source="post: 5923312" data-attributes="member: 40483">I was wondering about this, and I'm not so good at the maths, so I had a spreadsheet count out the permutations, and these are the results: the average result of selecting the best result out of 2d20 is 13.83. Compared to 10.5, that's an improvement of +3.33. The odds of rolling a 20 is 9.75%.What confuses me is why they do not let advantage stack. The rate of diminishing returns dramatically neuters the advantage of seeking out many advantages. The average result when taking the best of 3d20 is 15.49, which is almost like a +5, but it's only 1.66 better than rolling two dice. And if you roll 4d20, the average of the best roll is 16.48, or almost a +6 over 1d20, but only 1 pip better than rolling 3d20. A flat +2 would be more than twice as effective as rolling a third die, ignoring criticals for a moment.Even the odds of rolling a critical increase less and less: 2d20 yields 9.75% of rolling a crit, 3d20 14.26%, and 4d20 18.55%.</blockquote>