(A) 1/2
(B) 1/5
(C) 4/2
(D) 2/5
Correct Option is: A
Let the event of getting a greater number on the first die be G.
There are 4 ways to get a sum of 9 when two dice are rolled = {(3,6),(4,5),(5,4), (6,3)}.
And there are two ways where the number on the first die is greater than the one on the second given that the
sum should equal 9, G = {(5,4), (6,3)}.
Therefore, P(Sum equals 9) = 4/36 and P(G sum equals 9) = 2/36.
Now, P(G) = P(G sum equals 9)/P(sum equals 9)
= (2/36)/(4/36)
= 2/4 =>1/2