Probability

Concept:Probability = (number of favorable outcomes) / (total outcomes).Explanation:Total outcomes when casting two dice: $6 \times 6 = 36$.We need sum $\geq 7$ (i.e., 7, 8, 9, 10, 11, or 12).Number of ways:• Sum 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) → 6 ways.• Sum 8: (2,6),(3,5),(4,4),(5,3),(6,2) → 5 ways.• Sum 9: (3,6),(4,5),(5,4),(6,3) → 4 ways.• Sum 10: (4,6),(5,5),(6,4) → 3 ways.• Sum 11: (5,6),(6,5) → 2 ways.• Sum 12: (6,6) → 1 way.Total favorable = $6+5+4+3+2+1 = 21$.Probability = $\frac{21}{36} = \frac{7}{12}$.Answer:$\frac{7}{12}$