Let A and B two events such that P(A B) = 1/6, P(A B) = 1/4 and P(A) = 1/4, where A stands for complement of event A. Then events A and B are:

(C) independent but not equally likely

(A) equally likely and mutually exclusive

(B) equally likely but not independent

(D) mutually exclusive and independent

Statistics and Probability: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q5015

JEE Main 2005Annual, Paper 1MathematicsMediumStatistics and Probability258× since 2002

Let

A

and

B

two events such that

P\left( {\overline {A \cup B} } \right) = {1 \over 6},

P\left( {A \cap B} \right) = {1 \over 4}

and

P\left( {\overline A } \right) = {1 \over 4},

where

{\overline A }

stands for complement of event

A

. Then events

A

and

B

are :