A quiz consists of 4 true-false questions. What is the probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions?
1/4
1/16
1/2
2/5
1/4 or 1/2
1/2^4 = 1/16
1/16
To determine the probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions, we need to calculate the probability of guessing each question correctly and then multiply these probabilities together.
Since each question has 2 possible answers (true or false), the probability of guessing the correct answer to any one question is 1 out of 2 or 1/2.
Since there are 4 questions in total, the probability of guessing all 4 questions correctly can be calculated as follows:
P(getting 100% on the quiz) = P(guessing question 1 correctly) * P(guessing question 2 correctly) * P(guessing question 3 correctly) * P(guessing question 4 correctly)
P(getting 100% on the quiz) = (1/2) * (1/2) * (1/2) * (1/2) = (1/16)
Therefore, the probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions is 1/16.
The correct answer is 1/16.