But casinos and the lottery every day operate on this principle that if you take enough people, sure, in the short term or with a few samples, a couple people might beat the house. But over the long term, the house is always going to win because of the parameters of the games that they're making you play. Anyway, this is an important thing in probability. And I think it's fairly intuitive. Although sometimes when you see it formally explained like this with the random variables, then that's a little bit confusing. All it's saying is that as you take more and more samples, the average of that sample is going to approximate the true average, or I should be a little bit more particular, the mean of your sample is going to converge to the true mean of the population, or to the expected value of the random variable. Anyway, see you in the next video.