1.

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»

The sample space of an experiment is, 

5 = {1,2,3,4,5,6} 

Here, E = {4} and F = {2,4,6} 

Now, E ∩F = {4} ≠ ϕ 

⇒ E and F are not mutually exclusive.



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