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There are twenty multiple-choice questions on an exam, each having responses a, b, c, or d. Each question is worth 5 points and only one

There are twenty multiple-choice questions on an exam, each having responses a, b, c, or d. Each question is worth 5 points and only one option per question is correct. Supposea student guesses the answer to each question, and the guesses from question to question are independent. The probability that the student gets no questions correct is closest to:

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