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

Question

(a) independent but not equally likely .(b) independent and equally likely .(c) mutually exclusive and independent .(d) equally likely but not independent .