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Message: <blockquote data-quote="ichabod" data-source="post: 1293648" data-attributes="member: 1257">Rampant Pedantry WarningThere is no curve in any case. In terms of probability, two outcomes and twenty outcomes fall into the same class: discrete (univariate) probability distributions. Mathematically, curves are continuous. Thus a probability "curve" would only apply to a continuous probability distribution, assuming it was even a well defined term in probability, which it isn't. And which you'd never get from rolling a finite number of dice. Generally in probability you talk about cumulative distributions, which are defined for both discrete and continuous cases, with the discrete case including both two result cases and three or more result cases.I think even if you want to provide some discrete curve definition, you still can't distinguish between two and twenty. In both cases, you can interpret them as numerical values (and in fact you usually would for analysis), and thus have a change across results. Only if there is one outcome does this fall apart, but then there's not much point in talking about probability.Even if you want to come up with some funky definition of discrete curve that includes three or more results but not two results, it becomes a question of where you define the probability. If you define it as the probability that an attacker with a +6 bonus will hit a defender with AC 17 (a function of two set values), that's two results. If you define it as the probability that an attacker will hit a defender (a function of two variable values) then you have to think in terms of at least 400 values (20 if you first map the two values to one, which is reasonable in this case).End Rampant Pedantry</blockquote>

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