the.com/law of averages

means The mistaken belief that if something has deviated from its expected outcome lately, it must 'correct itself' soon — when really each independent event doesn't know or care what happened before it.

from Comes from genuine statistics: the 'law of large numbers,' which says results average out toward expected probability only over a huge number of trials. The casual phrase 'law of averages' borrowed that scientific authority but drifted into folk use, applying it wrongly to small runs of events — a coin flip, a losing streak — where it doesn't actually hold. So the phrase itself has a real mathematical parent, but the everyday meaning is largely a popular misunderstanding of that parent's actual claim.