Two dice are thrown. Find the probability that a multiple of 3 occurs on one dice and a multiple of 2 occurs on the other

Two dice are thrown. Find the probability that a multiple of 3 occurs on one dice and a multiple of 2 occurs on the other.

(a)  1/2

(b) 13/36

(c) 1/3

(d)  11/36

Sol:

We have a total of 11 favorable cases viz. 2,3 2,6, 4,3 4,6 6,3 3,6 6,4 3,4 6,2 3,2 and 6,6 out of a total of

36 cases.

So, the answer is 11/36.