Since there are 3 choices for each question, and the student must guess for each question, there are 3^3 = 27 possible outcomes for the student's guesses.
Out of these 27 possible outcomes, only 1 outcome will result in the student answering all of the questions correctly.
Therefore, the probability that the student answers all of the questions correctly is 1/27. Answer: \boxed{\frac{1}{27}}.
A math quiz has 3 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?
1 answer
3 answers