TS EAMCET · Maths · Probability
An examination is attempted by 5000 graduates, 2000 post-graduates and 1000 doctorate holders. The probabilities that a graduate, a post graduate and a doctorate holder will pass the examination are \(\frac{2}{3}, \frac{3}{4}, \frac{4}{4}\) respectively. If one of the examine passed the examination, then the probability that he is a post-graduate is
- A \(\frac{45}{169}\)
- B \(\frac{100}{169}\)
- C \(\frac{24}{169}\)
- D \(\frac{5}{64}\)
Answer & Solution
Correct Answer
(A) \(\frac{45}{169}\)
Step-by-step Solution
Detailed explanation
Consider the event \(E_1=\) graduate holder \(E_2=\) post-graduate holders \(E_3=\) doctorate holders \(A=\) passed examination \(P\left(E_1\right)=\frac{5}{8}, P\left(E_2\right)=\frac{2}{8}, P\left(E_3\right)=\frac{1}{8}\)…
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