(A) 5/12
(B) 12/7
(C) 7/12
(D) 12/5
Correct Option is: C
Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a composite number
Then E= { (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 5), (3, 3), (3, 6), (4, 2), (4,4),(4, 5), (4, 6), (5, 1),
(5,3),(5,4),(5,5),(6,2),(6,3),(6,4),(6,6) }
n(E) = 21
P(E) = n(E)/n(S) = 21/36 = 7/12.