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Can two mutually exclusive events be independent ?

Dear Student,
No, If two events are mutually exclusive(That means occurring of one event denies the existence of other event ) then they cannot be Independent.

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However the?event?that you get?twoheads is?mutually exclusive?to theevent?that you get?two?tails. Supposetwo events?have a non-zero chance of occurring. Then if the?two events?aremutually exclusive, they?can?not beindependent. If?two events?areindependent, they cannot be?mutually exclusive.
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