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Official PYQ · 2006

GATE EC 2006 Set 1 Q25 — Probability and Statistics

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Three companies X, Y\text{X, Y} and Z\text{Z} supply computers to a university. The percentage of computers supplied by them and the probability of those being defective are tabulated below

Company% of computers suppliedProbability of being defectiveX60%0.01Y30%0.02Z10%0.03\begin{array}{|c|c|c|} \hline \text{Company} & \% \text{ of computers supplied} & \text{Probability of being defective} \\ \hline \mathrm{X} & 60 \% & 0.01 \\ \hline \mathrm{Y} & 30 \% & 0.02 \\ \hline \mathrm{Z} & 10 \% & 0.03 \\ \hline \end{array}

Given that a computer is defective, the probability that it was supplied by Y\text{Y} is

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Answer: D

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