A true-false test has 8 questions. What is the probability of guessing the correct answer to all of the questions
Assuming each question has an equal probability of being guessed correctly, the probability of guessing the correct answer to one question is 1/2 (since there are two possible answers: true or false). Therefore, the probability of guessing all 8 questions correctly is:
(1/2)^8 = 1/256
So the probability of guessing all 8 questions correctly is 1 in 256.
To find the probability of guessing the correct answer to all of the questions in a true-false test, we need to determine the probability of guessing each question correctly and then multiply those probabilities together.
In a true-false test, there are two options for each question: true or false. So, the probability of guessing a question correctly is 1 out of 2, or 1/2.
Since there are 8 questions, the probability of guessing the correct answer for each question is (1/2)^8, which is equal to 1/256.
Therefore, the probability of guessing the correct answer to all 8 questions is 1/256.