Law of Large Numbers in R (Classical vs. Empirical Probability) | Intro to Statistics (23)

Welcome to the twenty-third lecture in our "Introduction to Statistics" series!

In this video, we bring a core concept of probability to life: the Law of Large Numbers. We'll demonstrate the difference between classical (or theoretical) probability and empirical probability using a hands-on simulation in the R programming language. Watch as we simulate rolling a die 10, 100, and then 100 million times to see how the experimental results converge on the theoretical probabilities.

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► Watch the previous video in this series: https://www.youtube.com/watch?v=Iv9gFgfitsU&list=PL_fCLSKRzLwQ_DwChXIwBqUvQ6Cm4x4qP&index=22
► Watch the next video in this series: https://www.youtube.com/watch?v=Iv9gFgfitsU&list=PL_fCLSKRzLwQ_DwChXIwBqUvQ6Cm4x4qP&index=24

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TIMESTAMPS:
00:00 - Classical vs. Empirical Probability
00:50 - Simulation: 10 Dice Rolls
02:44 - Simulation: 100 Dice Rolls
03:34 - Simulation: 100 Million Dice Rolls (Law of Large Numbers)
05:07 - Simulation with a 20-Sided Die (D20)
07:59 - Visualizing the Distribution with a Histogram

Видео Law of Large Numbers in R (Classical vs. Empirical Probability) | Intro to Statistics (23) канала Houston We Have a Problem