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 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 5 questions, the probability of guessing all of them correctly is (1/3)^5 = 1/243.

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