Events A and B are independent with P(A) = 3/4 and P(B) = 2/3. What is the probability that at least one of them occurs?
Answer and explanation
Correct answer: D. 11/12
- Step 1: P(A and B) = 3/4 x 2/3 = 1/2. Step 2. P(A or B) = P(A) + P(B) - P(A and B) = 3/4 + 2/3 - 1/2 = 11/12. Answer: 11/12. Why not the others: 17/12: That adds the probabilities and counts the overlap twice. 1/2: That is the probability that both occur. 1/4: That is the probability that A occurs and B does not.
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