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Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability that the student knows the answer to the question is
The probability that that the student will guess is
The probability that that the student get the correct answer given that the student guessed is
Here W denotes that the student gets the correct answer
Generally it a certain fact that if the student knows the answer he would get it correctly
So the probability the the student got answer given that he knows it is
Generally from Bayes theorem we can mathematically evaluate the probability that the student knows the answer given that he got it correctly as follows
=>
=>