MP Board · Class 11 · Mathematics · ProbabilityIf $A$ and $B$ are two events such that $P(A) \neq 0$ and $P(B/A) = 1$, then:
Step-by-Step Solution
By definition, $P(B/A) = \frac{P(A \cap B)}{P(A)} = 1$, which implies $P(A \cap B) = P(A)$. This is only possible if $A \subset B$.
Detailed Options Breakdown
Option : A ⊂ B (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: B ⊂ A
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 2: A = B
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 3: P(A) = P(B)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
💡 Study Guide: This question tests core syllabus concepts from Probability. For formulas, key summaries, and mock exam reference guides, read the full Probability Revision Notes.