(a) Assuming no questions are left unanswered, in how many ways can a five-question true/false quiz be answered? Show your work. (Hint: consider the Fundamental Counting Principle) (b) What is the probability that a student guessing at random gets all questions correct? Show your work. (c) Classify the probability you found in the previous part (circle one): theoretical probability empirical probability subjective probability

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### Five-Question True/False Quiz Analysis

**4. Quiz Overview:**
Consider a five-question true/false quiz.

**(a) Counting Quiz Combinations:**
Assuming no questions are left unanswered, in how many ways can a five-question true/false quiz be answered? Use the Fundamental Counting Principle to demonstrate your work.

**(b) Probability of Guessing Correctly:**
Determine the probability that a student who guesses at random answers all questions correctly. Provide detailed work to support your answer.

**(c) Classifying the Probability:**
Identify and circle the correct classification for the probability determined in part (b):
- Theoretical probability
- Empirical probability
- Subjective probability

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Transcribed Image Text:--- ### Five-Question True/False Quiz Analysis **4. Quiz Overview:** Consider a five-question true/false quiz. **(a) Counting Quiz Combinations:** Assuming no questions are left unanswered, in how many ways can a five-question true/false quiz be answered? Use the Fundamental Counting Principle to demonstrate your work. **(b) Probability of Guessing Correctly:** Determine the probability that a student who guesses at random answers all questions correctly. Provide detailed work to support your answer. **(c) Classifying the Probability:** Identify and circle the correct classification for the probability determined in part (b): - Theoretical probability - Empirical probability - Subjective probability ---
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