Suppose events A, B, and C are independent and [P(A)=frac{1}{2} quad P(B)=frac{1}{3} quad P(C)=frac{1}{6}] Find the probabilities

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Suppose events A, B, and C are independent and

\[P(A)=\frac{1}{2} \quad P(B)=\frac{1}{3} \quad P(C)=\frac{1}{6}\]

Find the probabilities in Problems 5-12.

a. \(P(A \cup C)\)

b. \(P(\overline{A \cup C})\)

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