A true-false test has 12 questions. What is the probability of guessing the correct answers to all of the questions?
1/4096
1/144
1/24
1/14
The probability of guessing the correct answer to one question is 1/2 (since there are two options: true or false). The probability of guessing the correct answer to all 12 questions is the product of the probabilities of each individual question:
(1/2)^12 = 1/4096
Therefore, the probability of guessing the correct answers to all 12 questions is 1/4096.
The answer is 1/4096.