A multiple choice exam has 10 questions each question has

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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.

What is the chance the student answers exactly 7 of the 10 questions correctly?

Given that an answer is correct, what is the chance the student was merely guessing the answer?

Reference no: EM13604861

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