Mathematics

Problem

Events

A

and

B

are mutually exclusive with

P(A)=P(B)=0.3

. Which statement is correct? a)

A

and

B

are independent because

P(A\cap B)=0

. b)

A

and

B

are independent since

P(A)+P(B)=0.6<1

. c)

A

and

B

cannot be independent because

P(A)P(B)\neq P(A\cap B)

. d) Independence of

A

and

B

cannot be determined without additional information.