The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B\cap C)$

$\begin{array}{1 1}(A)\;0.05\\(B)\;0.20\\(C)\;0.45\\(D)\;0.15\end{array}$

According to the venn diagram
$P( B \cap C)=0.15$
Hence (D) is the correct answer.