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A problem on a multiple-choice quiz is answered correctly with probability 0.95 if a student is...

A problem on a multiple-choice quiz is answered correctly with probability 0.95 if a student is prepared. An unprepared student guesses between 5 possible answers, so the probability of choosing the right answer is 1/5. Seventy-five percent of students prepare for the quiz. If Mr. X gives a correct answer to this problem, what is the chance that he did not prepare for the quiz?

Math   Statistics-And-Probability   
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Therefore, if Mr. X give the correct answer to this problem, the chance that he did not prepare for the quiz is 6.56%

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