Given (P(A)=0.30, P(B)=0.62), and (P(A cap B)=) 0.12 , find (a) (P(A cup B)); (b) (P(bar{A} cap

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Given \(P(A)=0.30, P(B)=0.62\), and \(P(A \cap B)=\) 0.12 , find
(a) \(P(A \cup B)\);
(b) \(P(\bar{A} \cap B)\);
(c) \(P(A \cap \bar{B})\);
(d) \(P(\bar{A} \cup \bar{B})\).

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