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

Question

(A) Independent but not equally likely $\quad$(B) Mutually exclusive and independent$\quad$ (C) Equally likely and mutually exclusive $\quad$ (D) Equally likely but not independent $\quad$