Events and are mutually exclusive with

MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability

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.