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01 ·Probability & Statistics·★ MEMBER·10 min read Monte Carlo Methods from Scratch — Solving Integrals with Dice An integral you cannot solve can still be estimated: scatter random points and take the average. This piece builds up why the law of large numbers buys you only 1/√N, what importance sampling rescues, and how MCMC samples from a distribution whose normalizing constant nobody can compute. 02 ·Probability & Statistics·★ MEMBER·11 min read Markov Chains from Scratch — The Process That Only Looks at Now What happens next depends only on where you are now — that single act of forgetting is a Markov chain. From transition matrices and stationary distributions to why PageRank is an eigenvector and why MCMC gets to ignore the normalizing constant, built from nothing assumed.