Passing a Test by Guessing
A true/false test has 40 questions. A passing grade is 60% or more correct answers.
a. What is the probability that a person will guess correctly on one true/ false question?
b. What is the probability that a person will guess incorrectly on one question?
c. Find the approximate probability that a person who is just guessing will pass the test.
d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability of passing the test by guessing be higher or lower than the approximate probability of passing the true/false test? Why?