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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)=1/4and P(barA)=1/4,where barA` stands for the complement of the event A. Then the events A and B are

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

The correct Answer is:
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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