Probability
Independent Events
Grade 12
Question:
<p>If A and B are any two events, then \(P(A \cap B)\) is equal to</p>
<p>(a) \(P(A)P(B)\)</p>
<p>(b) \(1 - P(A) - P(B)\)</p>
<p>(c) \(P(A) + P(B) - P(A \cap B)\)</p>
<p>(d) \(P(B) - P(A \cap B)\)</p>
Step-by-Step Solution
Key Concept: Recall the definition of independent events and the multiplication rule for probability.
<p>For any two events A and B, if they are independent, then \(P(A \cap B) = P(A) \times P(B)\)</p><p>This is the fundamental property of independent events.</p><p>Note: For dependent events, we use \(P(A \cap B) = P(A) \times P(B|A)\)</p>
Correct Answer: A