Question: A student is taking a multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to

A student is taking a multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place five balls (marked Upper A comma Upper B comma Upper C comma Upper D comma and Upper E) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six multiple-choice questions on the exam. What is the probability that she will get six questions correct

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