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Let \( \mathrm{A} \) and \( \mathrm{B} \) be two events such that \( \mathrm{P}(\mathrm{A})=\frac{3}{8}, \mathrm{P}(\mathrm{B})=\frac{5}{8} \) and \( \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{3}{4} \).
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Then \( \mathrm{P}(\mathrm{A} \mid \mathrm{B}) \cdot \mathrm{P}\left(\mathrm{A}^{\prime} \mid \mathrm{B}\right) \) is equal to
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(A) \( \frac{2}{5} \)
(B) \( \frac{3}{8} \)
(C) \( \frac{3}{20} \)
(D) \( \frac{6}{25} \)
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