A math quiz has

Question

3
3 multiple choice questions and each question has
4
4 choices. If a student has to guess (and is not able to remove any of of the incorrect choices) what is the probability that the student answers all of the questions correctly?

Answer 1

Since each question has 4 choices, the probability of guessing the correct answer for each question is
1/4.
Since there are 3 questions, the probability of guessing all 3 questions correctly is
(1/4) * (1/4) * (1/4) = 1/64.

So, the probability that the student answers all of the questions correctly by guessing is 1/64.