Answer :

When the die is rolled the sample space will consist of following outcomes

S = (1, 2, 3, 4, 5, 6)

According to the given conditions

E = (4) and

(F) = (2, 4, 6)

E ∩ F = (4) ∩ (2, 4, 6)

⇒ (4) ≠ ϕ as there is a common element between E & F

Hence E and F are __not__ mutually exclusive event.

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