Chance the student was merely guessing the answer


A multiple choice exam has 10 questions. Each question has 4 possible answers, of which one is correct. A student knows the answers to 3 of the questions and answers them correctly. The student guesses the answers to the remaining 7 questions at random. Given that an answer is correct, what is the chance the student was merely guessing the answer?

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Basic Statistics: Chance the student was merely guessing the answer
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