The Hot Hand Fallacy: Why Streaks Are Random and Your Brain Refuses to Accept It
The hot hand fallacy makes you see skill and momentum in random sequences. Here's what the data actually shows about streaks.
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probability
11 posts tagged probability from Mean Methods.
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The Monty Hall Problem: Why Switching Doors Is Mathematically Obvious (and Psychologically Impossible)
The Monty Hall problem has stumped mathematicians, PhDs, and game show contestants for decades. Here's why your intuition gets it wrong every single time.
C. PearsonBerkson's Paradox: Why Hospital Data Makes Healthy Smokers Look Fine
Berkson's paradox shows how selecting data from a biased pool can flip real-world correlations, and why your dataset's origin story matters as much as its contents.
C. PearsonLehmer's Trap: Why Random Number Generators Aren't Actually Random
Pseudorandom number generators follow deterministic rules, and that hidden structure can silently corrupt simulations, models, and statistical tests.
C. PearsonPoisson Processes: Why Rare Events Cluster When You Expect Them to Spread Out
Poisson processes explain why bus arrivals, server crashes, and earthquakes bunch together instead of spreading evenly across time.
C. PearsonThe Ecological Fallacy: What's True for Groups Is Not True for People
The ecological fallacy silently corrupts data analysis. Here's why group-level statistics can't tell you what you think they can about individuals.
C. PearsonThe Gambler's Fallacy: Why Your Brain Thinks Coins Have Memory
The Gambler's Fallacy feels like logic but it's a statistical trap, and it's costing you more than casino chips.
C. PearsonExpected Value Is a Lie Your Brain Can't Process
Expected value is the most useful concept in probability, and one of the most systematically misapplied. Here's why your intuition keeps betraying you.
C. PearsonThe Prosecutor's Fallacy: How Probability Gets Weaponized in Courtrooms (and Boardrooms)
The prosecutor's fallacy flips conditional probability, and it doesn't just convict innocent people. It quietly corrupts decisions everywhere.
C. PearsonThe Law of Large Numbers Is Not What You Think It Is
Most people misunderstand the Law of Large Numbers, and that misunderstanding is quietly wrecking their decisions about data, gambling, and risk.
C. PearsonBase Rate Neglect: Why Your Gut Probability Is Almost Always Wrong
Base rate neglect is the statistical error hiding behind your best decisions. Here's why ignoring prior probabilities quietly destroys your analysis.
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