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Probability theory is the deductive part of statistics. Its purpose is to give a
precise mathematical deÖnition or structure to what has so far been an intu
itive concept of randomness. DeÖning randomness will allow us to make exact
probability statements. For example when discussing association, we could only
make rough statements in terms of tendencies. Mathematically, probability is
a set function which means it is premised on sets. 

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