Does an ensemble of measurements approximate probability or represent something different?

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entropy1
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Does an ensemble of measurements yielding outcome A or B yield an approximation to the probability of A and B, or is such an ensemble of measurements something totally different from probability?
 

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That depends on your favorite view of statistics. It certainly gives you a better idea how often they occur, assuming independence between the individual measurements and assuming they are all identical - these assumptions don't have to be true!