A math quiz has five multiple-choice questions, and each question has three 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

1 answer

The probability of guessing the correct answer for one question is 1/3, since there are three choices.

For all five questions, the probability of guessing all of them correctly is:

(1/3) * (1/3) * (1/3) * (1/3) * (1/3) = (1/3)^5 = 1/243

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