NCERT · Class 11 · Mathematics · ProbabilityIf $P(A) = \frac{1}{2}$ and $P(B) = 0$, then $P(A/B)$ is:
Step-by-Step Solution
The conditional probability $P(A/B)$ is defined as $\frac{P(A \cap B)}{P(B)}$ provided $P(B) \neq 0$. Since $P(B) = 0$, division by zero is undefined. Therefore, $P(A/B)$ is not defined.
Detailed Options Breakdown
Option : 0
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 1: 1/2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 2: 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 3: Not defined (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
💡 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.