A and B are independent events with P(A) = 0.4 and P(B) = 0.5. What is the probability that exactly one of the two events occurs?
Answer and explanation
Correct answer: D. 0.5
- Step 1: P(A and not B) = 0.4 x 0.5 = 0.2 and P(B and not A) = 0.5 x 0.6 = 0.3. Step 2. Exactly one occurs with probability 0.2 + 0.3 = 0.5. Answer: 0.5. Why not the others: 0.7 is P(A or B), which includes both events happening together, 0.9 adds P(A) and P(B), and 0.2 is the probability that both occur.
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