A true-false test has 12 questions. What is the probability of guessing the correct answers to all of the questions?
A. Start Fraction 1 over 4096 End Fraction
B. Start Fraction 1 over 144 End Fraction
C. Start Fraction 1 over 24 End Fraction
D. start fraction 1 over 14 end fraction
Since there are only two options for each question (true or false), the probability of guessing the correct answer to any one question is 1/2. To find the probability of guessing all 12 questions correctly, we need to multiply the probabilities of guessing each individual question correctly:
(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)
Simplifying this expression, we get:
(1/2)^12 = 1/4096
Therefore, the answer is A. Start Fraction 1 over 4096 End Fraction.