If \( \mathrm{A} \) and \( \mathrm{B} \) are two events such that \...
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If \( \mathrm{A} \) and \( \mathrm{B} \) are two events such that \( \mathrm{P}(\mathrm{A})=\frac{1}{2}, \mathrm{P}(\mathrm{B})=\frac{1}{3}, \mathrm{P}(\mathrm{A} / \mathrm{B})=\frac{1}{4} \), then \( \mathrm{P}\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right) \) equals
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(A) \( \frac{1}{12} \)
(B) \( \frac{3}{4} \)
(C) \( \frac{1}{4} \)
(D) \( \frac{3}{16} \)
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