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

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.