Let $A$ and $B$ two events such that $P(A \cap B)=\frac{1}{6}, P(A \cup B)=\frac{31}{45}$ and $P(\bar{B})=\frac{7}{10}$ then
(A) $A$ and $B$ are independent
(B) $A$ and $B$ are mutually exclusive
(C) $\mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)<\frac{1}{6}$
(D) $P\left(\frac{B}{A}\right)<\frac{1}{6}$
Ans: (A)
