If \( \mathrm{A} \) and \( \mathrm{B} \) are independent events of ...

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If \( \mathrm{A} \) and \( \mathrm{B} \) are independent events of a random
\( \mathrm{P} \)
W experiment such that \( P(A \cap B)=\frac{1}{6} \) and \( P(\bar{A} \cap \bar{B})=\frac{1}{3} \), then \( \mathrm{P}(\mathrm{A}) \) is equal to
(1) \( \frac{1}{4} \)
(2) \( \frac{1}{3} \)
(3) \( \frac{1}{6} \)
(4) \( \frac{2}{3} \)
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