(A) 13/36
(B) 14/36
(C) 9/36
(D) 11/36
Correct Option is: D
Clearly, n(S) = 6 x 6 = 36
Let E be the event that the sum of the numbers on the two faces is divided by 5or 7.
Then,E = {(1,4),(1,6),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(4,6),(5,2),(5,5),(6,1),(6,4)}
n(E) = 11.
Hence, P(E) = n(E)/n(S) = 11/36