A math quiz has 5 multiple choice questions 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

1 answer

The probability of guessing the correct answer for each question is 1/3.

Since the student has to answer all 5 questions correctly, the probability for all questions is multiplied together:

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

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