Probability and statistics

Notes on how probability and statistics shape the way we reason about uncertainty, data, and decisions. Covers core concepts from distributions and inference to Bayesian thinking and real-world modeling. Each post breaks down a specific idea — not just the formula, but the intuition behind it and where it actually applies. Aimed at people who want to think more clearly with numbers, not just pass an exam.

Why the Normal Distribution Has the Shape e^(-x²): Deriving the Gaussian from First Principles

Friends, thank you all for your comments. Every time I read your feedback, I realize — the audience of this…

Random Walk in Mathematics: A Community-Driven Topic Experiment

Let's try something new!

Gambler’s Ruin Paradox: Why Your Starting Capital Determines the Odds

Imagine a game. Two players start with different numbers of coins, and each round they each stake one. The winner…