A true/false test has 90 questions. A passing grade is 59% or more correct answers. Find the approximate probability that a person who is just guessing will pass the test.

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Question: A true/false test has 90 questions. A passing grade is 59% or more correct answers. Find the approximate probability that a person who is just guessing will pass the test.

We are given that : n = number of true/false questions = 90

p = probability of getting correct answer when person is just guessing = 50% = 0.5

and passing grade is 59% or more correct answers.

We have to find the approximate probability that a person who is just guessing will pass the test.

p^ = sample proportion of correct answers