Probability
Conditional Probability
Grade 12
Question:
<p>If A and B are two events such that $$P(A) > 0$$ and $$P(B) < 1$$, then $$P\left(\frac{A}{B}\right)$$ is equal to</p>
<p>(a) $$1 - P\left(\frac{A}{B}\right)$$</p>
<p>(b) $$1 - P\left(\frac{A}{B}\right)$$</p>
<p>(c) $$\frac{P(A \cap B)}{P(B)}$$</p>
<p>(d) $$\frac{P(A)}{P(B)}$$</p>
Step-by-Step Solution
Key Concept: Conditional probability is defined as the ratio of the probability of intersection to the probability of the conditioning event.
<p>By definition of conditional probability: $$P\left(\frac{A}{B}\right) = \frac{P(A \cap B)}{P(B)}$$</p>
Correct Answer: C