Let A and B be two independent events with P(A) = 0.40 and P(B) = 0.20. Which of the following is correct?
A) P(B|A) = 0.40
B) P(A|B) = 0.08
C) P(A ∩ B) = 0
D) P(A ∪ B) = 0.52

Question

Quizplus · Accepted Answer

Since A and B are independent, P(B|A) = P(B) = 0.20. Therefore, choice A is incorrect. By the same logic, P(A|B) = P(A) = 0.40 *incorrectly written in the question*0.4, making choice B also incorrect. Since A and B are independent, P(A ∩ B) = P(A) * P(B) = 0.40 * 0.20 = 0.08, so choice C is also incorrect. Finally, P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.40 + 0.20 - 0.08 = 0.52, so the correct answer is D.

Let a and B Be Two Independent Events with P(A)