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GATE ME 2013 | Question: 45

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The probability that a student knows the correct answer to a multiple choice question is $\dfrac{2}{3}$ . If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is $\dfrac{1}{4}$. Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is

  1. $\dfrac{2}{3} \\$
  2. $\dfrac{3}{4} \\$
  3. $\dfrac{5}{6} \\$
  4. $\dfrac{8}{9}$

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