When rolling two six-sided number cubes (or dice), each die has six faces showing numbers from 1 to 6. To determine the odds of rolling a total sum of seven, we first need to identify all the possible combinations of the two dice that yield this result.
Here are the favorable outcomes that give a sum of 7:
- 1 + 6
- 2 + 5
- 3 + 4
- 4 + 3
- 5 + 2
- 6 + 1
As we can see, there are a total of 6 combinations that result in a sum of 7. Now, we need to determine the total number of possible outcomes when rolling two dice. Since each die has 6 faces, the total number of outcomes is:
Total outcomes = 6 (for the first die) × 6 (for the second die) = 36
To calculate the probability of rolling a sum of 7, we use the formula:
Probability = (Number of favorable outcomes) / (Total outcomes)Substituting the values we found:
Probability of getting a sum of 7 = 6 / 36 = 1 / 6Therefore, the odds of rolling two number cubes and getting a total sum of seven is approximately 16.67%. This means that if you roll two dice many times, you can expect to get a sum of 7 about one out of every six rolls, making it one of the more common totals you can achieve.