question_answer

It is given that the events A and B are such that\[P\,\,(A)=\frac{1}{4},\] \[P\,\,\left( \frac{A}{B} \right)=\frac{1}{2}\] and \[P\,\,\left( \frac{B}{A} \right)=\frac{2}{3}.\] then, \[P(B)\] is

A)  \[\frac{1}{6}\]                         

B)  \[\frac{1}{3}\]

C)  \[\frac{2}{3}\]                         

D)  \[\frac{1}{2}\]

E)  None of these