If we say that this number right over here, let's say that's capital A, and let's say that this number here is capital B. If we were to try to calculate the expected value of a roll, what we really want to do is take the weighted frequency of each of these values, the weighted sum. So for example, if we got a one A out of 500 times, it would be A out of 500 times one, plus, I'll do these in different colors, plus 110 out of 500 times two, plus 110 out of 500 times two. Notice, this is the frequency, which was they got two, times two, we're taking a weighted sum of these values. And then plus 95 out of 500 times three, plus 95 out of 500 times three, plus, I think you see where this is going, 70 over 500 times four, plus 70 over 500 times four, almost there, plus, let's see, I haven't used this brown color, plus 75 over 500 times, I'll do it here, plus 75 over 500 times five, finally, plus B over 500 times six, this is going to give us our expected value of a roll, which is going to be equal to 3.37. So all of this is equal to 3.37. So one thing that we can do, since we have all these 500s in this denominator right over here, let's multiply both sides of this equation times 500.