The Hot Hand Fallacy in Sports Betting

## The Hot Hand Belief The hot hand fallacy is the belief that a person who has been successful recently is more likely to continue succeeding — that they are "on a streak" or "in the zone." In basketball, fans believe a player who has made 3 consecutive shots is more likely to make the next one. The foundational 1985 study by Gilovich, Vallone, and Tversky found no statistical support for the hot hand in basketball shooting. This result was influential — but subsequent research has found nuances. ## Where the Hot Hand Is Real More recent, larger-sample studies have found small but real hot hand effects in some contexts: - **Free throw shooting:** Slight positive autocorrelation (0.02–0.03 correlation between consecutive attempts) - **Sports where confidence affects mechanics** (darts, snooker): Psychological momentum may produce small real effects ## Where It Is Not Real - **Goal scoring frequency in football:** Controlling for xG, recent goals do not predict future goals - **Betting selections:** Your personal win rate from last week does not predict this week's performance - **Team winning runs:** Positive autocorrelation in team results mostly reflects schedule quality and underlying team rating, not genuine momentum ## The Betting Application Many bettors increase stakes when "running hot" and decrease when "running cold." This stake variation based on recent results has zero expected value unless: 1. Your recent wins were based on a genuinely stronger analytical approach (and you can identify what improved) 2. The "hot" period reflects a better market environment (not your personal hot hand) Absent these conditions, stake variation based on recent results is pure gambler's fallacy dressed as momentum intuition.