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
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.