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?

Answer 1

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.