Subjects combinatorics

Spinner Outcomes F195F5

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1. **State the problem:** A spinner with eight sections labeled A through H is spun twice. We need to find the total number of possible outcomes. 2. **Understand the problem:** Each spin can land on any of the 8 sections (A, B, C, D, E, F, G, H). 3. **Formula used:** When an event is repeated multiple times independently, the total number of outcomes is the product of the number of outcomes for each event. 4. **Apply the formula:** Since the spinner is spun twice, the total number of outcomes is: $$8 \times 8 = 64$$ 5. **Explanation:** For the first spin, there are 8 possible outcomes. For each of these outcomes, the second spin also has 8 possible outcomes. Multiplying these gives the total number of possible outcomes for two spins. **Final answer:** There are 64 possible outcomes when the spinner is spun twice.