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    If P(E) = 0.9 and P(F) = 0.8, show that P(EF) ≥ 0.7.

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    21. If P(E) = 0.9 and P(F) = 0.8, show that P(EF) ≥ 0.7. In general, prove Bonferroni's inequality, namely,

    P(EF) ≥ P(E) + P(F) - 1.

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    https://brainmass.com/math/basic-algebra/prove-bonferronis-inequality-32749

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    Prove Bonferroni's inequality firstly.
    P(E U F) = P(E) + P(F) - ...

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    This solution is comprised of a detailed explanation to prove Bonferroni's inequality.

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