Answer the following about two events and in a probability experiment.

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

Answer the following about two events

A

and

B

in a probability experiment. (i) Write the condition that must hold if

A

and

B

are mutually exclusive. (ii) Write the condition that must hold if

A

and

B

are independent. (iii) If

P(A)>0

and

P(B)>0

, can

A

and

B

be both mutually exclusive and independent? Give a brief reason.