If you are teaching statistics to 20-year-olds (or maybe even if you are not), you might be interested in ways to make probability theory more engaging. I watched a students eyes light up when I showed this in class, so that makes it feel worth sharing.

The Law of Large Numbers is a standard part of statistics or business analytics classes. Something that goes along with it conceptually is “The Law of Truly Large Numbers,” sometimes also called The Infinite Monkey Theorem. The idea is that if you put monkeys in front of typewriters, perhaps infinite monkeys with infinite typewriters and with infinite time, they will eventually write a Shakespeare play.

To illustrate this feature of probability theory for the video gamers, a fun and well-produced video is
“Can Mobs Beat Minecraft?” by Wifies

There is nothing inappropriate for students. The video is 13 minutes, which is too long to show during a class session. I recommend watching the first minute and a half and then explaining that the middle is a lot of gaming details to prove that it is technically possible that a randomly acting “mob” could eventually beat the entire Minecraft game, given enough time.

At the 10-minute mark, the math begins. You could watch about one more minute and a half to see how he tries to calculate the infinitesimally-small-and-yet-positive probability that this could happen. Given enough time, just about anything that is possible will happen.

Another possibility for a teacher is not to show the video in class but to offer it as an optional or extra credit assignment, so that a student who loves Minecraft could really have fun with it and other students can skip.

For me, this pairs with Chapter 5 on Probability for the textbook Applied Statistics in Business and Economics.

Another teaching tip. If you ever need to print out paper rulers, you might be Googling “printable rulers” and you’ll see a bunch of scams as the top results. THIS link works: https://www.brightonk12.com/cms/lib/MI02209968/Centricity/Domain/517/Ruler_6-inch_by_16.pdf