[Math] A red die and a green die are thrown, and the numbers of each are noted. Which pairs of the following events are mutually exclusive

probability

i have a final exam tomorrow and i have this question in one of the old exams that i couldn't understand how to solve it.

A red die and a green die are thrown, and the numbers of each are noted.
Which pairs of the following events are mutually exclusive?
E={both are even}, F={both are odd}, G={sum is 2}, H={sum is 4},
I={sum is greater than 10}.

can you explain it for me ?

Best Answer

In this question, mutually exclusive refers to the pairs of sets that have no elements in common.

Put another way, you want to list the pairs of sets where their intersection is the empty set.