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In an entrance test, there are multiple ...

In an entrance test, there are multiple choice questions. There are four possible answers to each question, of which one is correct. The probability that a student knows the answer to a question is 90%. If the gets the correct answer to a question, then find the probability that he was guessing.

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AI Generated Solution

To solve the problem, we will use Bayes' theorem. Let's define the events clearly: - Let \( A_1 \) be the event that the student knows the answer. - Let \( A_2 \) be the event that the student does not know the answer (i.e., is guessing). - Let \( E \) be the event that the student gets the correct answer. We are given the following probabilities: ...
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