The probability of rolling two dice and getting a sum of 7 can be calculated by considering the total number of possible outcomes and the number of favorable outcomes.
When you roll two six-sided dice, each die has 6 faces, resulting in a total of 6 x 6 = 36 different combinations. To find the combinations that give a sum of 7, we can list them:
- (1, 6)
- (2, 5)
- (3, 4)
- (4, 3)
- (5, 2)
- (6, 1)
There are 6 combinations that result in a sum of 7. Therefore, the probability is the number of favorable outcomes divided by the total number of outcomes:
Probability = Favorable outcomes / Total outcomes = 6 / 36 = 1 / 6
Thus, the probability of rolling two dice and getting a sum of 7 is 1/6.