A true-false test has 5 questions. What is the probability of guessing the correct answers to all of the questions?
The probability of guessing the correct answer to a true-false question is 1/2 or 0.5.
Therefore, the probability of guessing the correct answer to all 5 questions is:
0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.03125 or approximately 3.125%.
So the probability of guessing all correct answers is quite low.
To calculate the probability of guessing all the correct answers to all 5 questions on a true-false test, we need to determine the probability of guessing correctly on each question and then multiply those probabilities together.
Since each question has two possible answers (true or false) and we are guessing randomly, the probability of guessing correctly on one question is 1/2 or 0.5.
To find the probability of guessing all 5 questions correctly, we multiply the probabilities together:
Probability = (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32 or 0.03125
Therefore, the probability of guessing all the correct answers to all 5 questions on the true-false test is 1/32 or approximately 0.03125.