Law of Large Numbers (Bernoulli's Law)

The Law of Large Numbers states that as an experiment is repeated many times, the average result will tend to get closer to the expected outcome. For example, if you flip a fair coin, the chance of heads is 50%. If you flip it just a few times, your results might be very different from 50%. But as you flip the coin thousands of times, the proportion of heads will get closer and closer to 50%. This principle helps us trust long-term predictions based on probability, knowing that large samples will mirror expected outcomes more reliably.