If \( A \) and \( B \) are any two events having \( P(A \cup B)= \)...

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If \( A \) and \( B \) are any two events having \( P(A \cup B)= \)
\( \mathrm{P} \)
W \( \frac{1}{2} \) and \( \mathrm{P}(\bar{A})=\frac{2}{3} \), then the probability of \( \bar{A} \cap B \) is
(1) \( \frac{1}{2} \)
(2) \( \frac{2}{3} \)
(3) \( \frac{1}{6} \)
(4) \( \frac{1}{3} \)
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