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In an informal sense, there is some circularity in this definition as the idea of random variable itself rests on the concept of Randomness . A Number itself cannot be random except in the sense of how it was generated.

Informally, selecting a number at random with uniform distribution on some Set requires that all Element s of that set were equally Probable as outcomes before the selection. In particular, this means that knowledge of earlier Number s generated by this process, or some other process, do not yield any extra information about the next number. This is equivalent to Statistical Independence .


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