Applied Probability

Applied Probability

6 articles

Applied Probability8 min read

Bayes' Theorem and the Medical Test You Probably Misunderstand

You test positive for a rare disease. The test is 99% accurate. How worried should you be? In many real scenarios, the answer is: not very. Here is the exact math.

June 29, 2025Read article →
Applied Probability7 min read

Expected Value: The Single Most Useful Concept in Decision-Making

Expected value is the average outcome of a random process over many repetitions. It is arguably the single most useful concept in decision-making under uncertainty.

July 2, 2025Read article →
Applied Probability8 min read

Confidence Intervals: What 95% Confidence Actually Means

A 95% confidence interval does not mean a 95% chance the true value lies inside it. This subtle distinction matters enormously, and almost everyone gets it wrong.

July 18, 2025Read article →
Applied Probability9 min read

The p-Value Crisis: Why Most Published Research May Be Wrong

The 0.05 significance threshold has governed scientific publishing for 80 years. It was never meant for that purpose, and the resulting crisis is reshaping statistics.

July 22, 2025Read article →
Applied Probability7 min read

Regression to the Mean: The Statistical Force Behind Every Slump

Francis Galton discovered it in pea plants. It explains why the Sports Illustrated cover curse is real, why bad students improve after punishment, and why no hot streak lasts.

July 26, 2025Read article →
Applied Probability7 min read

What Is a P-Value? A Plain English Explanation

P-values appear in scientific papers, medical trials, and news headlines. Most people misread them. Here is what they actually mean.

June 13, 2026Read article →