Assertion (A): If A and B are independent events, then A' and B' are also independent. Reason (R): P(A'∩B') = P(A')P(B') when A and B are independent. Choose the correct option: MCQ with Answer and Explanation
Assertion (A): If A and B are independent events, then A' and B' are also independent. Reason (R): P(A'∩B') = P(A')P(B') when A and B are independent. Choose the correct option:
A. A is false, R is true
B. Both A and R are true, but R is not the correct explanation of A
C. Both A and R are true, and R is the correct explanation of A
D. A is true, R is false
Answer: Option C
Solution (By JKSSB Mock Tests)
If A and B are independent, then their complements are independent. The formula P(A'∩B') = (1-P(A))(1-P(B)) holds, so R is true and explains A.
No comments yet. Be the first to start the discussion!