If P(E) = 0.9 and P(F) = 0.8, show that P(EF) 0.7. In general, show that
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If P(E) = 0.9 and P(F) = 0.8, show that P(EF) 0.7. In general, show that P(EF) P(E)+P(F) −1 More generally, show for any events E1, . . . , En P(E1E2 · · ·En) ≥
n i=1 P(Ei ) −(n −1)
This is known as Bonferroni’s inequality.
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