Let A and B be two independent events with PA 040 and PB 0

Let A and B be two independent events with P(A) = 0.40 and P(B) = 0.20. Therefore P(A B) = 0 P(A B) 0.52 P(A|B) = 0.08 P(B|A) = 0.40

Solution

As they are independent,

P(A n B) = P(A) P(B) = 0.40*0.20 = 0.08

Thus,

P(A U B) = P(A) + P(B) - P(A n B) = 0.40 + 0.20 - 0.08

P(A U B) = 0.52 [ANSWER, OPTION B]