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I think the putative issue lies upstream of probability theory itself. And yes, I think a tossing an ideal coin is a good model where we can simply postulate that there is true randomness which overrides any deterministic evolution. (Just like collapse of the wave function!)pines-demon said:I am not trained enough in probability theory so I am failing to understand what the issue is too. What kind of "rigor" are we expecting? Can somebody provide an example of a well-defined probability (not necessarily quantum)?