In a test, a student either guesses or copies or knows the answer to a multiple choice question with four choices having one correct answer. The probability that he guesses the answer is 
and the probability that he copies it is 
. The probability that his answer is correct given that he copied it is 
. The probability that he knew the answer, given that he has correctly answered it, is
Text Solution
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Let 
an event that the student guess the answer 
the event that the student know that answer
the event that he copies the answer
the event that the answer is correct
Given that,
So, 
And the probability that the answer is correct if he guess is
Probability that the answer is correct if he knows the answer is
Probability that the answer is correct if he copies the answer is
by using Bayes theorem
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