Let \( \mathrm{A} \) and \( \mathrm{B} \) be two events such that \( \mathrm{P}(\overline{\mathrm{A} \cup \mathrm{B}})=\frac{1}{6}, \mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{4} \) and \( \mathrm{P}(\overline{\mathrm{A}})=\frac{1}{4} \), where \( \overline{\mathrm{A}} \) stands for the complement of the event \( \mathrm{A} \). Then the events \( \mathrm{A} \) and \( \mathrm{B} \) are :
\( \mathrm{P} \)
(1) mutually exclusive and independent.
(2) equally likely but not independent.
W
(3) independent but not equally likely.
(4) independent and equally likely.
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