In the site header, you are seeing a demonstration of the Law of Large Numbers, the fundamental theorem for statistics. Perform a random action which has an expectation or average of about 1, such as flipping two coins and counting the number of heads. Repeat this action over and over again. Each time the action is performed, we recalculate the average. As the number of repetitions increases, the likelihood that we will be located close to the horizontal line y=1 increases. More precisely, if we quadruple the number of repetitions, we will half the average distance we are from that line.
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