AP EAMCET · Maths · Probability
Two persons \(\mathrm{P}\) and \(\mathrm{Q}\) are considering to apply for a job. The probability that \(\mathrm{P}\) applies for the job is \(1 / 4\), the probability that \(\mathrm{P}\) applies for the job given that \(\mathrm{Q}\) applies for the job is \(1 / 2\), and the probability that \(Q\) applies for the job given that \(P\) applies for the job is \(1 / 3\). Then the probability that \(\mathrm{P}\) does not apply for the job given that \(\mathrm{Q}\) does not apply for the job is
- A \(\frac{4}{5}\)
- B \(\frac{5}{6}\)
- C \(\frac{7}{8}\)
- D \(\frac{11}{12}\)
Answer & Solution
Correct Answer
(A) \(\frac{4}{5}\)
Step-by-step Solution
Detailed explanation
Given \(\mathrm{P}(\mathrm{P})=\frac{1}{4}, \mathrm{P}\left(\frac{\mathrm{P}}{\mathrm{Q}}\right)=\frac{1}{2}, \mathrm{P}\left(\frac{\mathrm{Q}}{\mathrm{P}}\right)=\frac{1}{3}\). \[ \mathrm{P}\left(\frac{\overline{\mathrm{P}}}{\mathrm{Q}}\right)=? \] Now,…
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