CIMA BA2 · Chapter 9 · Question 8 of 11
Two machines operate independently. The probability that machine 1 breaks down in a week is 0.10 and the probability that machine 2 breaks down is 0.15. What is the probability that AT LEAST ONE machine breaks down in a week?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 0.235
Explanation
The probability that neither breaks down = (1 - 0.10) x (1 - 0.15) = 0.90 x 0.85 = 0.765. The probability that at least one breaks down = 1 - 0.765 = 0.235. Simply adding 0.10 and 0.15 double-counts the case where both break down (0.10 x 0.15 = 0.015).
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