Assertion (A): In any probability distribution, P(A) + P(A') = 1. Reason (R): A and A' are mutually exclusive and exhaustive events. Choose the correct option: MCQ with Answer and Explanation
Assertion (A): In any probability distribution, P(A) + P(A') = 1. Reason (R): A and A' are mutually exclusive and exhaustive events. Choose the correct option:
A. Both A and R are true, and R is the correct explanation of A
B. A is false, R is true
C. Both A and R are true, but R is not the correct explanation of A
D. A is true, R is false
Answer: Option A
Solution (By JKExamLibrary)
Complementary events partition the sample space, so their probabilities sum to 1. R correctly explains A.
Explanation:
De facto census counts people where found on census night, so tourists, migrant workers, or hospital patients may be counted away from their usual residence, potentially inflating counts in transient areas.
Consider the following statements about probability: 1. For any two events, P(A∪B) ≤ P(A) + P(B). 2. If A ⊆ B, then P(A) ≤ P(B). 3. For independent events, P(A|B) = P(A). Which of the above is/are correct?
No comments yet. Be the first to start the discussion!