# 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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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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