A student takes a multiple-choice test with 8 questions on it, each of which have 4 choices. The student randomly guesses an answer to each question.What is the probability that the student gets exactly 4 questions correct?Round to 3 decimal places.

Each guess has a 1/4 chance of being correct and a 3/4 chance of being incorrect. The probability of exactly 4 correct answers is (8 choose 4)(1/4)^4(3/4)^4 = 0.0865, which rounds to 0.087. Therefore, the correct choice is A, 0.087.

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