Given a multiple choice test with 4 choices for each question and 17 questions, What are the odds of getting all 17 questions incorrect? Each question has one correct answer--So 75% per question, but how about the entire test?
getting all incorrect is .75^17 = .0075
To calculate the odds of getting all 17 questions incorrect, we need to calculate the probability of getting one question incorrect and then raise it to the power of the number of questions.
Since each question has 4 choices and only one correct answer, the probability of getting one question incorrect is 3/4 or 0.75.
To find the probability of getting all 17 questions incorrect, we raise 0.75 to the power of 17:
P(all incorrect) = (0.75)^17
Using a calculator, this evaluates to approximately 0.0017 or 0.17%.
Therefore, the odds of getting all 17 questions incorrect on a multiple-choice test with 4 choices for each question are approximately 0.0017 or 0.17%.