If Two dice are rolled What is the probability that the sum on the top face of both the dice will be greater than 9?

When two dice are rolled, the possible sums range from 2 to 12. The sums greater than 9 are 10, 11, and 12. The combinations that yield these sums are: for 10 (3 combinations: 4+6, 5+5, 6+4), for 11 (2 combinations: 5+6, 6+5), and for 12 (1 combination: 6+6), totaling 6 favorable outcomes. Since there are 36 possible outcomes when rolling two dice, the probability is ( \frac{6}{36} = \frac{1}{6} ).