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?
The probability of guessing a question correctly is 1 out of 3, or 1/3.
Since there are 5 questions, the probability of answering all questions correctly is (1/3)^5, which equals 1/243.
Therefore, the probability that the student answers all of the questions correctly is 1/243.