Physicist: The predictability of large numbers of random events is called the “law of large numbers“. It causes the margin of error to be essentially zero when the number of random things becomes very large. The law of large numbers means that the larger your study, the less likely your results will deviate and give you some wacky answer. Answer Gravy: This is a quick mathematical proof of the law of large numbers. So, in general, the probability that you’ll find the sum of lots of random things away from their average gets very small the more random things you have.