Comparing Theoretical and Experimental Probability

Miacademy & MiaPrep Learning Channel

In this engaging math lesson, Justin breaks down the fundamental difference between theoretical probability (what we expect to happen based on math) and experimental probability (what actually happens in real life). Using a clear, relatable example of rolling a six-sided die, the video demonstrates how real-world data collection often yields results that differ from theoretical calculations. The video visually compares these two concepts using on-screen text, animations of dice, and a number line that plots both theoretical expectations and actual experimental results from two different trials. This visual representation helps students understand that variation is normal in small sample sizes, laying the groundwork for understanding the Law of Large Numbers. This resource is highly valuable for middle and high school math classrooms introducing statistics and probability. It serves as an excellent hook or explanation phase for a lesson, providing a concrete example of why our predictions don't always match reality. The video concludes by setting up a hands-on activity, making it a perfect transition into student-led experiments with coins, dice, or spinners.