$A$ and $B$ are two independent events of a random experiment and $P(A)>P(B)$. If the probability that both $A$ and $B$ occur is $\frac{1}{6}$ and neither of them occurs is $\frac{1}{3}$, then the probability of the occurance of $B$ is

• A

  $\frac{1}{4}$
• Correct answer
  B

  $\frac{1}{3}$
• C

  $\frac{1}{2}$
• D

  $\frac{3}{8}$

Hence, the correct answer is option: 'B'.