Let A and B be two events such that \[P\overline{(A\cup B)}=\frac{1}{6},P(A\cap B)=\frac{1}{4}\] and \[P(\bar{A})=\frac{1}{4},\] where \[\bar{A}\] stands for complement of event A. Then events A and B are [AIEEE 2005]

Mutually exclusive and independent

Independent but not equally likely

Equally likely and mutually exclusive

Equally likely but not independent

Let A and B be two events such that \[P\overline{(A\cup B)}=\frac{1}{6

1.	Let A and B be two events such that \[P\overline{(A\cup B)}=\frac{1}{6},P(A\cap B)=\frac{1}{4}\] and \[P(\bar{A})=\frac{1}{4},\] where \[\bar{A}\] stands for complement of event A. Then events A and B are [AIEEE 2005]
A.	Independent but not equally likely
B.	Mutually exclusive and independent
C.	Equally likely and mutually exclusive
D.	Equally likely but not independent
Answer» B. Mutually exclusive and independent

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Let A and B be two events such that \[P\overline{(A\cup B)}=\frac{1}{6},P(A\cap B)=\frac{1}{4}\] and \[P(\bar{A})=\frac{1}{4},\] where \[\bar{A}\] stands for complement of event A. Then events A and B are [AIEEE 2005]

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