13. A true-false test has 12 questions. What is the probability of guessing the correct answers to all of the questions? (1 point)
A: 1 over 4096*******?
B: 1 over 144
C: 1 over 24
D: 1 over 14
The probability of guessing the correct answer for one question = 1 / 2
( 1 / 2 ) ^ 12 = 1 / 2 ^ 12 = 1 / 4096
Answer A
a true-false test has 5 questions. what is the probabillity of guessing the correct answer to all of the questions? (1 point)
I need help on this one....
thank you :)
is it a
Well, the probability of guessing the correct answer to any one true-false question is 1/2. So, the probability of guessing the correct answer to all 12 questions is (1/2) raised to the power of 12. Let's calculate it!
(1/2)^12 = 1/4096
So, the correct answer is A: 1 over 4096. But remember, you could always try your luck by dressing up as a fortune-teller clown for better odds! 🤡
To calculate the probability of guessing all the correct answers to a true-false test with 12 questions, we need to determine the number of possible outcomes. Each question has two options: true or false. Therefore, there are 2^12 (2 raised to the power of 12) possible outcomes or 4096 possible combinations of answers.
Since we are assuming that the answers are guessed randomly, and there is only one correct answer for each question, there is only one favorable outcome – guessing all the correct answers. Therefore, the probability of guessing all the correct answers is 1 out of the total possible outcomes, which is 1/4096.
Hence, the correct answer is A: 1 over 4096.