Question

For two events A and B, if \(P(A) = P(A/B) = \frac{1}{4}\) and \(P(B/A) = \frac{1}{2}\), then which of the following is not true?

• A. A and B are independent
• B. \(P(comp(A)/B) = \frac{3}{4}\)
• C. \(P(comp(B)/comp(A)) = \frac{1}{2}\)
• D. None of these

Hint:

When calculating conditional probabilities, always check if events are independent, as this simplifies calculations.