Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use?

To determine which spinner corresponds to the theoretical probabilities provided (P(A) = ½, P(B) = ¼, P(C) = ¼), we need to evaluate each option in terms of the proportions of A, B, and C on the spinners.

1. **Spinner divided into 4 equal sections labeled A, B, C, D:**
- A: 1 section
- B: 1 section
- C: 1 section
- D: 1 section
- P(A) = 1/4, P(B) = 1/4, P(C) = 1/4 (D = unused section)
- This is not suitable since P(A) = ½ is not satisfied.

2. **Spinner divided into 8 equal sections labeled A, A, A, A, B, B, C, C:**
- A: 4 sections
- B: 2 sections
- C: 2 sections
- P(A) = 4/8 = 1/2, P(B) = 2/8 = 1/4, P(C) = 2/8 = 1/4
- This is suitable as it matches the theoretical probabilities.

3. **Spinner divided into 4 equal sections labeled A, B, C, C:**
- A: 1 section
- B: 1 section
- C: 2 sections
- P(A) = 1/4, P(B) = 1/4, P(C) = 2/4 = 1/2
- This is not suitable since P(A) = ½ is not satisfied.

4. **Spinner divided into 8 equal sections labeled A, A, B, B, B, C, C, C:**
- A: 2 sections
- B: 3 sections
- C: 3 sections
- P(A) = 2/8 = 1/4, P(B) = 3/8, P(C) = 3/8
- This does not match the probabilities.

Thus, the spinner that Maya could use is the **second option**: **A spinner divided into 8 equal sections labeled A, A, A, A, B, B, C, C.**