The book Judgment under uncertainty analyzes common fallacies in how people estimate probabilities. The book asserts that no one has good intuition about probability. Statisticians do better than the general public, not because their intuition is much better, but because they know not to trust their intuition; they know they need to rely on calculations.
One of the common fallacies listed in the book is the law of small numbers. In general, people grossly underestimate the variability in small samples. This phenomenon comes up all the time. It’s good to know someone has given it a name.