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A student is taking a multiple-choice exam with 15 questions. Each question has five alternatives. If the student guesses on 10 of the questions, what

A student is taking a multiple-choice exam with 15 questions. Each question has five alternatives. If the student guesses on 10 of the questions, what is the probability she will guess at least 7 correct? Assume all of the alternatives are equally likely for each question on which the student guesses.

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