1. **State the problem:** We want to find the theoretical probability that the product of two rolled number cubes (each numbered 1 to 6) is greater than 10. 2. **Understand the sample space:** Each cube has 6 faces, so total outcomes when rolling two cubes is $6 \times 6 = 36$. 3. **Use the given table to identify products greater than 10:** From the table, the products greater than 10 are: 12, 15, 16, 18, 20, 24, 25, 30, 36. 4. **Count the number of outcomes with product > 10:** - 12 appears at positions (2,6), (3,4), (4,3), (6,2) → 4 times - 15 appears at (3,5), (5,3) → 2 times - 16 appears at (4,4) → 1 time - 18 appears at (3,6), (6,3) → 2 times - 20 appears at (4,5), (5,4) → 2 times - 24 appears at (4,6), (6,4) → 2 times - 25 appears at (5,5) → 1 time - 30 appears at (5,6), (6,5) → 2 times - 36 appears at (6,6) → 1 time Total outcomes with product > 10 = $4 + 2 + 1 + 2 + 2 + 2 + 1 + 2 + 1 = 17$. 5. **Calculate the theoretical probability:** $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{17}{36}$$ 6. **For Abby's 300 rolls, expected number of times product > 10:** $$300 \times \frac{17}{36} = \frac{300 \times 17}{36} = 141.67 \approx 142$$ **Final answers:** - Theoretical probability of product > 10 is $\frac{17}{36}$. - Abby would expect about 142 times out of 300 rolls to get a product greater than 10.