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A computer designs a multiple choice test in such a way that each question has 4 answer options (A, B, C, or D), with each

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A computer designs a multiple choice test in such a way that each question has 4 answer options (A, B, C, or D), with each option equally likely to occur. The first 8 questions on the exam have correct answers A, A, B, C, A, D, A, C. What is the probability that question 9 will have correct answer A? Give your answer as a reduced fraction or decimal to 2 places

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