The Probability Mistakes That Fool Smart People
Companion guide to: Why Dating Apps Feel Broken — Explained With Data
Probability mistakes usually start with a vivid example. A rare event gets attention, the attention makes it feel common, and the mind forgets to ask about the base rate. This guide teaches the repeatable patterns behind false positives, risk perception, expected value, streaks, and the birthday paradox.
The most important question is not whether an event can happen. It is how often it happens out of a clearly named denominator. A one-in-a-million risk means something different across one person, one city, one country, or one platform with billions of attempts. Scale changes what rare looks like.
Mini exercise: choose a scary headline and write the risk in three formats: absolute risk, relative risk, and expected count in a population of 100,000. If the meaning changes, the original story needed more context.