Let A and B be two events such that `P (bar(AuuB))=1/6, P(AnnB)=1/4and P(barA)=1/4,where barA` stands for the complement of the event A. Then the events A and B areA. mutually exclusive and independentB. equally likely but not independentC. Independent but not equally likelyD. independent and equally likely

Let A and B be two events such that `P (bar(AuuB))=1/6, P(AnnB)=1/4and

1.	Let A and B be two events such that `P (bar(AuuB))=1/6, P(AnnB)=1/4and P(barA)=1/4,where barA` stands for the complement of the event A. Then the events A and B areA. mutually exclusive and independentB. equally likely but not independentC. Independent but not equally likelyD. independent and equally likely
Answer» Correct Answer - C `P (bar(AuuB))=1/6` `P(AuuB)=5/6,P(A)=3/4` `P(AuuB)-P(A)+P(B)-P(AnnB)=5/6` `impliesP(B)=5/6-3/4+1/4=1/3` `impliesP(AnnB)=P(A).P(B)=1/4`

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