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TS EAMCET · Maths · Probability

Three persons A, B and C attended a recruitment test. The ratio of the chances of \(A, B, C\) in getting through the test \(1: 2: 3\) and their probabilities to face the interview successfully are \(0.8,0.7,0.6\) respectively. If one of them is to be selected for the post, then the probability that \(\mathrm{A}\) gets the post is

  1. A \(\frac{3}{8}\)
  2. B \(\frac{7}{20}\)
  3. C \(\frac{9}{20}\)
  4. D \(\frac{1}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{9}{20}\)

Step-by-step Solution

Detailed explanation

Ratio of chances of \(A, B, C=1: 2: 3\) \(P(A\) getting through test \()=k\) \(P(B\) getting through test \()=2 k\) \(P(C\) getting through test \()=3 k\)…
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