if you roll a pair of fair six-sided number cubes, what is the probability of rolling two numbers whose sum is 2?

To calculate the probability of rolling two numbers whose sum is 2 when rolling a pair of fair six-sided number cubes, we need to determine the number of favorable outcomes (rolling two numbers that sum to 2) and divide it by the total number of possible outcomes.

Let's start by finding the number of favorable outcomes. Rolling two numbers whose sum is 2 means we have two possibilities: (1, 1) and (2, 2). So, there are two favorable outcomes.

Next, let's calculate the total number of possible outcomes. When rolling a pair of fair six-sided number cubes, each cube has six possible outcomes (numbers 1 to 6). Since there are two cubes, the total number of possible outcomes is 6 * 6 = 36.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Favorable Outcomes / Total Outcomes = 2 / 36 = 1/18.

Hence, the probability of rolling two numbers whose sum is 2 when rolling a pair of fair six-sided number cubes is 1/18.