A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?

Explanation

D`={1,2,3,4,5,6}`

E= `{4}`

F`= {2,4,6}`

if two events are mutually exclusive `E nn F = phi`

`E nn F = {4}`

so, they are not mutually exclusive