Mathematics

Problem

Answer the following about two events

A

and

B

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

A

and

B

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

A

and

B

are independent. c. (iii) If

P(A)>0

and

P(B)>0

, can

A

and

B

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