A math quiz has five multiple-choice questions, and each question has five choices. If a student has to guess (and is not able to remove any of the incorrect choices) what is the probability that the student answers all of the questions correctly?
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.