Probability
Conditional Probability
Premium Question
Grade 12
Question:
If $P(A) = 0.4$, $P(B) = 0.3$ and $P(B \mid A) = 0.5$, then $P(A \cap B)$ equals:
(1) $0.12$
(2) $0.2$
(3) $0.7$
(4) $0.5$
Step-by-Step Solution
Key Concept: Recall the definition of conditional probability, $P(B \mid A) = \frac{P(A \cap B)}{P(A)}$, and rearrange it to make $P(A \cap B)$ the subject.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (2)