Let a pair of dice be thrown and the random variable X be the sum of numbers on the two dice. Then,

Match List I with List II

Choose the correct answer from the options given below :

A-III, B-IV, C-I, D-II

The correct answer is Option (3) → A-III, B-IV, C-I, D-II

A. $P(X=2)=\frac{1}{36}$ ((1, 1))

B. $P(X=4)=\frac{3}{36}$ ((1, 3), (3, 1), (2, 2))

C. $P(X=5)=\frac{4}{36}$ ((1, 4), (2, 3), (3, 2), (4, 1))

D. $P(X=6)=\frac{5}{36}$ ((1, 5), (2, 4), (3, 3), (4, 2), (5, 1))