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The probability of guessing a correct answer for each question is 1/5, since there are 5 choices and only 1 correct answer.
Since there are 5 questions, the probability of guessing all of them correctly is:
(1/5) * (1/5) * (1/5) * (1/5) * (1/5) = 1/3125
Therefore, the probability that the student answers all of the questions correctly by guessing is 1/3125.