Answer:
- Probability of rolling a sum of 10: 3 / 36 = 1 / 12 = 0.083.
- Odds against rolling a sum of 10: 11/12 = 0.917
Explanation:
1) Sample space:
- There are 6 × 6 = 36 different combinations (sums) possible
- Of those these are the combinations that sum 10:
4+ 6, 5 + 5, and, 6 + 4
- Hence, there are 3 different combinations that sum 10, and the proba bility of rolling one of them is:
2) Probability of rolling a sum of 10 = number of combinations that sum 10 / number of total possible combinations
- Probability of rolling a sum of 10 = 3 / 36 = 1 / 12 = 0.083.
3) The odds against rolling a sum of 10 is the complement, this is 1 - 1/12 = 11/12 = 0.917
