A true of false test has 8 questions what is the probability of guessing the correct answers to all of the questions
Assuming that there are only two possible answers (true or false) for each question and the guess is completely random, the probability of guessing the correct answer for any one question is 1/2 or 0.5.
Therefore, the probability of guessing the correct answer for all eight questions is:
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.00390625
or approximately 0.39%.
So, the probability of guessing all 8 questions correctly is very low.
To find the probability of guessing all 8 questions correctly on a true or false test, we need to know the number of possible outcomes and the number of favorable outcomes.
In this case, each question has 2 possible answers (true or false), so the total number of possible outcomes is 2^8 = 256.
Since there is only one way to guess all 8 questions correctly, the number of favorable outcomes is 1.
Therefore, the probability of guessing all 8 questions correctly is 1/256 or approximately 0.0039.