You take a 6-question quiz with True/False questions. What is the probability of getting all 6 questions correct by simply guessing?

• A. 0.015%
• B. 0.50%
• C. 5.6%
• D. 1.56%

Answer: (D)

Verified step by step guidance

1. Identify that each question on the quiz is a True/False question, meaning there are 2 possible answers for each question.
2. Recognize that guessing the answer to each question is an independent event, and the probability of guessing one question correctly is 0.5.
3. To find the probability of getting all 6 questions correct, calculate the probability of guessing each question correctly and multiply these probabilities together.
4. Use the formula for the probability of independent events: \( P(A \text{ and } B \text{ and } C \text{ and } D \text{ and } E \text{ and } F) = P(A) \times P(B) \times P(C) \times P(D) \times P(E) \times P(F) \).
5. Substitute the probability of guessing one question correctly (0.5) into the formula: \( (0.5)^6 \) to find the probability of getting all 6 questions correct.