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Todd: We are ignorant of the details of the causes of lots of these things, or at least we don't always dive into the details, but we still rely on what we know about "the long run."
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Yeah, I’m inclined to agree, although I’d be a bit more modest and say that we rely on what we “think†we may know about the long run.
It occurs to me that one could perhaps equate an increase in entropy to an increase in randomness—perhaps randomness is “real,†but in the sense that, for example, the huge entropy of a black hole (a virtual nothingness) is some sort of actual randomness.