@InertialObservr I LOVE the GIFs you put out. You have a real talent for visualizing the fascinating complexities of mathematics. Would you be interested helping "animate" an infinite set for a junior high math class?
maybe start by visualizing the idea that the probability of picking any real number on the interval (0,1) is zero? I think maybe an intuition could be that the probability is 1/N as N-->Infinity