hard · GMAT Quantitative Reasoning
A batch is defective with prior probability 0.02. A first screen flags defectives with probability 0.95 and healthy lots with probability 0.1. A second independent audit flags defectives with probability 0.9 and healthy lots with probability 0.05.
Given that both screens flag the lot, what is the probability it is defective?
- 0.020
- 0.855
- 0.777
- 0.223
- 0.162
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