Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If events A and B are independent, then identify the correct statements

(A) A and B must be mutually exclusive
(B) The sum of their probabilities must be equal to 1
(C) P(A) . P(B) = P(A ∩ B)
(D) A' and B' are also independent

Choose the correct answer from the options given below :

Options:

A and B only

B and C only

C and D only

A and D only

Correct Answer:

C and D only

Explanation:

A, B independent  ⇒  P(A ∩ B) = P(A) . P(B)

⇒  A' and B' also independent