A six faced die is biased such that 3 × P(a prime number) = 6 × P(a composite number) = 2 × P(1).
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) \(\frac 7{11}\)
(D) \(\frac 8{11}\)
