Two events are mutually exclusive if they both cannot occur at the same time.
When a die is rolled, we cannot get a number which is both odd and even. Hence they are mutually exclusive events.
Getting {4 or 5} and getting an even prime number {2} are mutually exclusive events.
Getting { 3, 2, or 5} and getting {4 or 1} are mutually exclusive events.
Getting {1 or 2} and getting {3 or 4} are mutually exclusive events.