Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment:

A : The sum is even

B : The sum is multiple of 3

C : The sum is less than 4

D : The sum is greater than 11.

Which pairs of these events are mutually exclusive?

Solution not provided.

Ans. A={(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3),

(5, 5), (6, 2), (6, 4), (6, 6)}

B = {(1, 2), (2, 1), (1, 5), (5, 1), (3, 3), (2, 4), (4, 2), (3, 6), (6, 3), (4, 5), (5, 4), (6, 6)}

C = {(1, 1), (2, 1), (1, 2)}

D = {(6, 6)}

C and D are mutually exclusive