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AP EAMCET · Maths · Probability

In a certain recruitment test with multiple choice questions, there are four options to answer each question, out of which only one is correct. An intelligent student knows \(90 \%\) correct answers while a weak student known only \(20 \%\) correct answers. If an intelligent student gets the correct answer for a question, then the probability that he was guessing it, is

  1. A \(\frac{1}{37}\)
  2. B \(\frac{1}{10}\)
  3. C \(\frac{9}{37}\)
  4. D \(\frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{1}{37}\)

Step-by-step Solution

Detailed explanation

Let the events \(E_1=\) he guesses the answer \(E_2=\) he knows the answer \(A=\) he answers correctly Then,…