The probability of answering one multiple choice question correctly is 1 out of 4 choices, which can be written as 1/4. Since there are 5 questions, and the student needs to answer all of them correctly, the probability is the product of the individual probabilities for each question.
P(all correct) = P(question 1 correct) * P(question 2 correct) * P(question 3 correct) * P(question 4 correct) * P(question 5 correct)
= (1/4) * (1/4) * (1/4) * (1/4) * (1/4)
= 1/1024
Therefore, the probability that the student answers all of the questions correctly is 1/1024.
A math quiz has
5
5 multiple choice questions and each question has
4
4 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?
1 answer