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

Question

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