Let \( \mathrm{A} \) and \( \mathrm{B} \) be two independent events...
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Let \( \mathrm{A} \) and \( \mathrm{B} \) be two independent events such that
\( \mathrm{P} \)
W \( \mathrm{P}(\mathrm{A})=\frac{1}{3} \) and \( \mathrm{P}(\mathrm{B})=\frac{1}{6} \). Then, which of the following is TRUE?
(1) \( \mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{A} \cup \mathrm{B}}\right)=\frac{1}{4} \)
(2) \( \mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)=\frac{2}{3} \)
(3) \( \mathrm{P}\left(\frac{\mathrm{A}^{\prime}}{\mathrm{B}^{\prime}}\right)=\frac{1}{3} \)
(4) \( \mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}^{\prime}}\right)=\frac{1}{3} \)
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