A math quiz has 5 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

Since each question has 3 choices, the probability of guessing the correct answer for each question is 1/3.

Therefore, the probability of guessing all 5 questions correctly is:

(1/3) * (1/3) * (1/3) * (1/3) * (1/3) = 1/243

So the probability that the student answers all of the questions correctly by guessing is 1/243.