question_answer

If A and B are any two events having \[p\,(A\,\,\cup \,\,B)=\,\,\frac{1}{2}\]and\[p(\overline{A})=\frac{2}{3},\]then the probability of \[\left( \overline{A}\,\,\cap \,\,B \right)\] is________.

A)  \[\frac{1}{2}\]                         

B)  \[\frac{1}{3}\]

C)  \[\frac{1}{6}\] 

D)  \[\frac{1}{4}\]

E)  None of these