When you roll two six-sided dice, there are a total of 36 different outcomes. This is because each die has 6 faces, and when they are rolled together, the combinations can be calculated as:
- 6 results from the first die × 6 results from the second die = 36 total outcomes.
To find the chances of rolling a sum of 7, we need to identify all the combinations that can produce this sum:
- 1 + 6
- 2 + 5
- 3 + 4
- 4 + 3
- 5 + 2
- 6 + 1
As we can see, there are 6 successful combinations that can result in a sum of 7. Therefore, the probability of rolling a sum of 7 is calculated by taking the number of successful outcomes and dividing it by the total number of outcomes:
Probability of rolling a sum of 7 = (Number of Successful Outcomes) / (Total Outcomes) = 6 / 36 = 1 / 6.
This means that whenever you roll two six-sided dice, the likelihood of them summing up to 7 is approximately 16.67%. So, next time you’re deep in a game of dice, remember, the magic number 7 is always just a roll away!