If A and B are independent events and P(

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If A and B are independent events and P(C) = 0, then:

Options:

A and C are independent

B and C are independent

A, B and C are independent

All of these

Correct Answer:

All of these

Explanation:

$P(C) = 0 ⇒ P(C/A) = \frac{P(C∩A)}{P(A)}=0=P(C);P(C/B) = \frac{P(C∩B)}{P(B)}=0=P(C)$

Similarly, A, B and C are independent.