A math quiz has 4 multiple choice questions and each question has 3 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
The probability of guessing the correct answer for each question is 1/3 since there are 3 choices for each question.
Therefore, the probability of guessing all 4 questions correctly is (1/3) * (1/3) * (1/3) * (1/3) = 1/81.
So, the probability that the student answers all of the questions correctly when guessing is 1/81 or approximately 1.23%.