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Let $A$ and $B$ be two events such that $P (\overline{A \cup B}) = \frac{1}{6}, ( A \cap B) = \frac{1}{4}$ and $P (\overline{A}) = \frac{1}{4}$, where $\overline{A}$ stands for complement of event $A$. Theus events $A$ and $B$ are :


( A ) independent but not equally likely
( B ) equally likely and mutually exclusive
( C ) mutually exclusive and independent
( D ) equally likely but not independent

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