AP EAMCET · Maths · Probability
\(70 \%\) of the total employees of a factory are men. Among the employees of that factory, \(30 \%\) of men and \(15 \%\) of women are technical assistants. If an employee chosen at random is found to be a technical assistant, then the probability that this employee is a man is
- A \(\frac{9}{23}\)
- B \(\frac{3}{17}\)
- C \(\frac{14}{17}\)
- D \(\frac{14}{23}\)
Answer & Solution
Correct Answer
(C) \(\frac{14}{17}\)
Step-by-step Solution
Detailed explanation
\(P(\text{Man}) = 0.70\) \(P(\text{Woman}) = 1 - 0.70 = 0.30\) \(P(\text{Tech}|\text{Man}) = 0.30\) \(P(\text{Tech}|\text{Woman}) = 0.15\)…
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