An unprepared student is about to take his first test of the semester. He is told that his test will be composed of 20 multiple choice questions, each with 4 possible answers, only one of which is correct.
a.What is the probability that the unprepared student randomly guesses at the correct response on ONE of the questions and gets the question correct?
If you are only considering one question, 1/4.
To find the probability that the unprepared student randomly guesses the correct response on ONE question, we need to divide the number of favorable outcomes (getting the question correct) by the total number of possible outcomes.
In this case, since each question has four possible answers and only one of them is correct, the student has a 1 in 4 chance of guessing the correct answer.
Therefore, the probability of guessing the correct answer on ONE question is 1/4 or 0.25.