A and B are two independent events. The probability that both A and B occur is $\large\frac{1}{6}$ and the probability that neither of them occurs is $\large\frac{1}{3}$. Then the probability of the two events are respectively

Question

$\begin {array} {1 1} (A)\;\large\frac{1}{2},\large\frac{1}{3} & \quad (B)\;\large\frac{1}{5},\large\frac{1}{6} \\ (C)\;\large\frac{1}{2},\large\frac{1}{6} & \quad (D)\;\large\frac{2}{3},\large\frac{1}{4} \end {array}$