Question
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows an even number”. Are E and F multually exclusive?
Solution
A die is rolled.
∴ the sample space, S = {1, 2, 3, ,4, 5, 6}
Event E: the die shows 4
E = {4}
Event F: the die shows an even number
F = {2, 4, 6}
Now, 
Hence, E and F are not mutually exclusive.
