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 of the incorrect choices) what is the probability that the student answers all of the questions correctly? (click here for help video)(10 points)
The probability of guessing the correct answer on each question is 1/3, since there are 3 choices for each question.
To find the probability of guessing all 5 questions correctly, we multiply the probabilities of each individual question:
(1/3)*(1/3)*(1/3)*(1/3)*(1/3) = 1/243
Therefore, the probability that the student answers all of the questions correctly by guessing is 1/243.