Understanding the Law of Large Numbers through Coin Flips

The video tutorial explores the concept of probability through a coin-flipping experiment. It distinguishes between theoretical and empirical probability and introduces the law of large numbers, which states that as the sample size increases, the experimental probability approaches the theoretical probability. The tutorial uses graphical analysis to demonstrate how empirical probability fluctuates but stabilizes with more trials. It also addresses common misconceptions and real-world applications, such as detecting weighted dice in casinos.

How does increasing the number of trials affect the empirical probability according to the law of large numbers?

What might happen if the observed frequencies of a die roll are too far from expected frequencies?