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?

Answer

N/a

Explanation

In one throw of a die sample `S={1,2,3,4,5,6}`
Event `E=` getting 4 on the die `={4}`
Event `F=` getting an even number of die `={2,4,6}`
Here `EnnF={4}!=phi`
`:.` Two events `E` and `F` are not mutually exclusive.