Mathematics · Probability Theory
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: According to the Monotonicity property of probability, if an event A is a subset of an event B (A ⊆ B), then the probability of event A is always greater than or equal to the probability of event B. Reason R: Event B can be expressed as the union of disjoint sets A and (B ∩ A'), which implies P(B) = P(A) + P(B ∩ A'), and since P(B ∩ A') ≥ 0, it follows that P(B) ≥ P(A). In the light of the above statements, choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A is correct but R is not correct
- 2A is not correct but R is correct✓
- 3Both A and R are correct but R is NOT the correct explanation of A
- 4Both A and R are correct and R is the correct explanation of A
Correct answer
A is not correct but R is correct
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