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Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ______.
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- 0.97
- 0.99
- 0.92
- 0.91
Correct Option: A
Probability (at least one will meet specification)
= 1 – probability (none will meet specification)
= 1 – (1 – 0.8) × (1 – 0.7) × (1 – 0.5)
= 1 – 0.2 × 0.3 × 0.5 = 1 – 0.03 = 0.97
