A math quiz has
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?
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.