NCERT · Class 11 · Mathematics · ProbabilityIf $A$ and $B$ are independent events with $P(A) = 0.3$ and $P(B) = 0.4$, then $P(A \cap B)$ is equal to:
Step-by-Step Solution
For independent events, $P(A \cap B) = P(A) \cdot P(B)$. Therefore, $P(A \cap B) = 0.3 \times 0.4 = 0.12$.
Detailed Options Breakdown
Option : 0.7
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 1: 0.12 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 0.1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Probability.
Option 3: 0.75
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.