1. **State the problem:** We have two fair four-sided spinners, each labeled with values 2, 3, 4, and 5. We spin both and add the results. We want to find the probability that the sum is 8.
2. **Total possible outcomes:** Since each spinner has 4 possible outcomes, the total number of outcomes is $$4 \times 4 = 16$$.
3. **Identify outcomes where the sum is 8:** From the grid:
- When Spinner A is 3 and Spinner B is 5, sum = $$3 + 5 = 8$$.
- When Spinner A is 4 and Spinner B is 4, sum = $$4 + 4 = 8$$.
- When Spinner A is 5 and Spinner B is 3, sum = $$5 + 3 = 8$$.
So, the favorable outcomes are (3,5), (4,4), and (5,3).
4. **Count favorable outcomes:** There are 3 outcomes where the sum is 8.
5. **Calculate probability:**
$$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{3}{16}$$
**Final answer:** The probability that the sum is 8 is $$\frac{3}{16}$$.
Spinner Sum F8Efa9
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.