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Understand it well enough to play? Sure. Understand it well enough to break down the probabilities involved? No. And that's pretty important for game design. I'm not saying everything has to be analyzed in depth from a mathematical standpoint, but some important aspects of the math have...

As some have already mentioned, this is completely irrelevant in the case of d20 rolls or similar mechanics that work in an additive fashion. You could apply a flat +100 bonus to all d20 rolls and increase all DCs by 100 and it would have basically no effect on the probabilities involved in the...

It's interesting to me how much people differ in their point of view regarding feats. I agree with much of what the OP says, though perhaps not all. Let me first say that I'm playing a Goliath Warden in a 4E campaign right now, and I've been deciding through several different possible feats...