Mathematics

Problem

For two events

A

and

B

with

P(A)>0

and

P(B)>0

, it is given that

A

and

B

are mutually exclusive. Which one of the following statements is necessarily true? a)

A

and

B

are always independent b)

A

and

B

can never be independent c)

A

and

B

are independent only when

P(A)+P(B)=1

A

and

B

are independent only when

P(A)=P(B)