Final answer:
The sum of two rolled dice ranges from 2 to 12, but it cannot be determined until the roll. However, 7 is the most common sum due to the number of ways it can be rolled. Option B is the correct answer.
Step-by-step explanation:
When you roll two different fair six-sided dice, there are a number of possible sums you can get, ranging from 2 (if both dice show a 1) to 12 (if both dice show a 6). The sum is not determined until the dice are rolled because it's a random process, but there are more ways to roll certain sums than others. For example, there is only one way to roll a sum of 2 (1 on each die) while there are several ways to roll a sum of 7 (1 and 6, 2 and 5, 3 and 4, and so on, including the reverse of each).
The answer choices provided are 5, 7, 9, and 12. The sum of 7 is the most probable among the listed options because it can result from the highest number of distinct dice face combinations (six in total: 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1). So, if you rolled two fair dice an infinite number of times, the most common sum would be 7.