Matt Parker's video on Square Roots and Maxima: https://www.youtube.com/watch?v=ga9Qk38FaHM
Or if you are going to do this with simulation, then a introduction to Monte Carlo methods, and why such simulations work and provide correct results would have been a better us of viewer's time.
But videos like this just state a fact and then handwave around the fact without hitting the core idea. The viewer leaves with a false sense of understanding, and keep wondering about the "bizzare" fact, when it is nothing but good ol' introductory probability. YouTube math needs reform.
Rather than a reform, maybe there's room for more maths-based videos to fill the gap between recreational and more serious maths?