- Step 1: Total outcomes. $6 \times 6 = 36$.
- Step 2: Favorable outcomes. Sum = 9: (3,6), (4,5), (5,4), (6,3). Count = 4.
- Step 3: Probability. $\frac{4}{36} = \frac{1}{9}$.
- Step 4: Verify. All pairs listed, matches option (1).
- Step 5: Conclusion. Option (1) $\frac{1}{9}$ is correct.