Probability Theory

Step 1: Total possible outcomes.
When two dice are thrown, the total number of outcomes is .
Step 2: Favorable outcomes.
The sums greater than 8 are: 9, 10, 11, and 12. We list the pairs that produce these sums: - Sum 9: (3, 6), (4, 5), (5, 4), (6, 3) — 4 outcomes - Sum 10: (4, 6), (5, 5), (6, 4) — 3 outcomes - Sum 11: (5, 6), (6, 5) — 2 outcomes - Sum 12: (6, 6) — 1 outcome Thus, the total number of favorable outcomes is .
Step 3: Probability calculation.
The probability of getting a sum greater than 8 is:
Step 4: Conclusion.
Therefore, the correct answer is (3) .