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Message: <blockquote data-quote="iwatt" data-source="post: 3445522" data-attributes="member: 11085">Well, to make it clearer.When you roll a d20 v/s a static DC the probability distribution is uniform, and it's simple to find the following solution:P(d20+X>=DC)----->P(d20>DC-X)Now, the problem of solving for opposed rolls between player A with skill X and player B with skill Y is:P(d20_A+X>d20_B+Y)----->P(d20_A+d20_B>Y-X)Now, what we have here then is that we need the probabilities for a random variable consisting of the substraction of two uniforn variables. Unless you want to get into the math, you'll have to trust me that  the distribution is triangular instead of uniform. This leads to the conclusion that a +5 difference means more in the opposed roll emchanic than in the statci DC system.</blockquote>