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

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

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,

When a die is rolled, the sample space is given by

S = {1, 2, 3, 4, 5, 6}

Accordingly, E = {4} and F = {2, 4, 6}

It is observed that E ∩ F = {4} ≠Φ

Therefore, E and F are not mutually exclusive events.

Thanks and Regards
Shaik Aasif
askIITians faculty

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