Question

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is more than 9.

Hint:

List all possible outcomes and count favorable cases before calculating probability.

Answer 1

Total possible outcomes when two dice are rolled:
\[ 6 \times 6 = 36. \] Favorable outcomes for sum \(>9 \):
\[ (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). \] Total favorable outcomes = 6.
Probability:
\[ P(E) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{6}{36} = \frac{1}{6}. \]