1. **State the problem:** We have a spinner with outcomes 1, 2, and 3, and a coin with outcomes Heads (H) and Tails (T). We want to find the sample space of all possible outcomes when spinning the spinner once and flipping the coin once. 2. **Formula and rules:** The sample space for combined independent events is the set of all ordered pairs $(\text{spinner outcome}, \text{coin outcome})$. 3. **List all possible outcomes:** - Spinner can be 1, 2, or 3. - Coin can be H or T. 4. **Construct the sample space:** $$\{(1,H), (1,T), (2,H), (2,T), (3,H), (3,T)\}$$ 5. **Classify the given options:** - Part of the sample space: $(3,H), (2,H), (1,H), (3,T), (1,T), (2,T)$ - Not part of the sample space: $(1,2), (1,2,3), (2,H,T), (2,3), (1,3), (1,H,T), (3,H,T), (H,T)$ **Final answer:** **Sample space:** $\{(1,H), (1,T), (2,H), (2,T), (3,H), (3,T)\}$ **Part of the Sample Space:** $(3,H), (2,H), (1,H), (3,T), (1,T), (2,T)$ **Not Part of the Sample Space:** $(1,2), (1,2,3), (2,H,T), (2,3), (1,3), (1,H,T), (3,H,T), (H,T)$