When you consider rolling a regular, fair, single 6-sided die, each side is equally likely. The sample space consists of the 6 sides, each with a unique number of physical dots. Let the random variable \(X\) correspond each side with the number corresponding to the number of dots. Then, \(R\) = {1, 2, 3, 4, 5, 6}. Since each side is equally likely then \(f(x) = 1/6\text{.}\)