Question: A multiple-choice exam has 10 questions. Each question has 4 possible answers, of which one is correct. A student knows the correct answers to 4

A multiple-choice exam has 10 questions. Each question has 4 possible answers, of which one is correct. A student knows the correct answers to 4 questions and guesses the answers to the other 6 questions. It turns out that the student answered the first question correctly. What is the probability that the student was merely guessing

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