question_answer

Let A and B be two events such that\[p\left( \overline{A\bigcup B} \right)=\frac{1}{6},\] \[p(A\bigcap B)=\frac{1}{4}\] 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

A)  Mutually exclusive and independent

B)  Equally likely but not independent

C)  Independent but not equally likely

D)  Independent and equally likely

E)  None of these