Question
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 incorrect answers) what is the probability that the student answers all the questions correctly?
Answers
GPT 3.5
The probability of guessing a single question correctly is 1/3, since there are 3 choices.
Since each question is independent of the others, the probability of guessing all 5 questions correctly is the product of the individual probabilities:
(1/3) * (1/3) * (1/3) * (1/3) * (1/3) = (1/3)^5 = 1/243
Therefore, the probability that the student answers all the questions correctly by guessing is 1/243.
Since each question is independent of the others, the probability of guessing all 5 questions correctly is the product of the individual probabilities:
(1/3) * (1/3) * (1/3) * (1/3) * (1/3) = (1/3)^5 = 1/243
Therefore, the probability that the student answers all the questions correctly by guessing is 1/243.