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

Answer 1

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%.