Consider the random variable \(X\) representing the number of coin flips until you get a Heads. Even though it is unlikely to have to keep on going, consider the fact that you could continually flip and get Tails every time for a long time. So, the possible values for \(X\) would be \(R\) = {1, 2, 3, 4, ... } which is precisely the infinite set of positive integers. Therefore, \(X\) is a countable random variable.