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

(A) independent but not equally likely.

(B) independent and equally likely.

(C) mutually exclusive and independent.

(D) equally likely but not independent.

Statistics and Probability: JEE Main 2014 Mathematics question

JEE Main 2014 · Session, Shift 1 · Q4941

JEE Main 2014Session, Shift 1MathematicsMediumStatistics and Probability258× since 2002

Let

A

and

B

be 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 the complement of the event

A

. Then the events

A

and

B

are :