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Let A and B be two events such that p( b...

Let A and B be two events such that `p( bar (AuuB))=1/6, p(AnnB)=1/4` and `p( bar A)=1/4` , where ` bar A` stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

A

mutually exclusive and independent

B

equally likely but not independent

C

Independent but not equally likely

D

independent and equally likely

Text Solution

Verified by Experts

`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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