A six faced die is biased such that $3\times P$(a prime number)$=6\times P$(a composite number)$=2\times P\left(1\right)$. Let $X$ be a random variable that counts the number of times one gets a perfect square on some throws of this die. If the die is thrown twice, then the mean of $X$ is

• A

  $\frac{3}{11}$
• B

  $\frac{5}{11}$
• C

  $\frac{7}{11}$
• Correct answer
  D

  $\frac{8}{11}$

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