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Assuming A,B,C,D are mutually independent.

$P[(A\cup\overline{B}\cup C)\cap(A\cup C \cup \overline{D})]$

I get $(P(A) + 1 - P(B) + P(C))(P(A) + P(C) + 1 - P(D))$

But when I plug in the numbers, I get a result that's larger than $1$, which makes no sense... what am I doing wrong?

2 Answers 2