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

1 answer

The probability of guessing the correct answer to one question is 1/2 (since it's a true-false question). Therefore, the probability of guessing the correct answer to all 12 questions is (1/2)^12, which simplifies to 1/4096. Therefore, the answer is A. Start fraction 1 over 4096 end fraction.