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In a random group of just 23 people, the chance that at least two share a birthday is slightly over 50 percent. It seems wrong, but it is true.
Starter thread · AI-reviewed against its sources
Normal distributions cluster around an average with very rare extremes. Power laws have fat tails, so extreme events are far more likely, which changes how risk should be estimated.
Starter thread · AI-reviewed against its sources
A 52-card deck has about 8×10^67 possible orders, far more than all shuffles in history, so a properly randomized order has almost certainly never occurred before.
Starter thread · AI-reviewed against its sources
The gambler's fallacy is the false belief that past outcomes of independent random events change the odds of future ones, so a streak makes the opposite result "due."
Starter thread · AI-reviewed against its sources
Extreme measurements tend to be followed by more average ones because chance helped produce them. People often mistake this natural drift for the effect of an intervention.
Starter thread · AI-reviewed against its sources
Bayesian updating means starting from a prior belief based on how common something is, then shifting it by how strongly new evidence favors one explanation over another.
Starter thread · AI-reviewed against its sources
