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    Probabilities : Set Theory

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    Let A and B be two events such that
    P(A) = 3/4 and P(B) = 1/3.
    Prove that 1/12=<P(A intersection B)=<1/3 and give two examples where these limits are reached.
    In the same way, find an interval for P(AUB) .

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    https://brainmass.com/math/discrete-math/probabilities-set-theory-13143

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    Let A and B be two events such that
    P(A) = 3/4 and P(B) = 1/3.
    Prove that and give two examples where these limits are reached.
    In the same way, find an interval for .
    Proof. Since ,
    (1)
    ...

    Solution Summary

    Set theory is used to prove probabilities. Examples are provided. The solution is detailed and well presented.

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