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A teacher gives students a true or false question which the students need to decide whether one statement is true or false. Initially, the teacher

A teacher gives students a true or false question which the students need to decide whether one statement is true or false. Initially, the teacher has a belief that 75% of the students know the right answer. If a student does not know the right answer, he or she simply randomly selects from true or false. Given that a student answers the question correctly, what is the probability that the student indeed knows the right answer?

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