Suppose events ,

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Suppose events

A

B

, and

C

satisfy

P(A \cap B \cap C)=P(A)P(B)P(C)

. Which of the following statements is necessarily true? (a)

A

B

, and

C

are pairwise independent but not necessarily mutually independent. (b) No conclusion about independence can be drawn without further information. (c)

A

B

, and

C

are mutually independent. (d)

A

and

B

are independent but

C

may depend on them.