Final answer:
The probability of rolling a sum of 7 on a standard pair of six-sided dice is 1/6.
Step-by-step explanation:
To find the probability of rolling a sum of 7 on a standard pair of six-sided dice, we need to determine the number of favorable outcomes and the total number of possible outcomes. There are 6 possible outcomes for the first die and 6 possible outcomes for the second die, giving us a total of 6 x 6 = 36 possible outcomes.
Next, we find the number of favorable outcomes, which is the number of ways we can roll a sum of 7. There are 6 ways to achieve this: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).
Therefore, the probability of rolling a sum of 7 is 6/36, which simplifies to 1/6.