This website is a virtual proof that I'm awesome https://adnansadik.dev/ When graph theory meets stock markets on the Japanese railway boom - Mid-game chaos: railway networks, stock certificates, and way too many poker chips Last weekend, I got completely absorbed in Shikoku 1889, and honestly? It’s one of the most mathematically satisfying board games I’ve played in a while. For those unfamiliar, Shikoku 1889 is an 18xx-style game where you’re building railway... Wed, 19 Nov 2025 00:00:00 +0900 https://adnansadik.dev/2025-11-19-shikoku-game-night/ https://adnansadik.dev/2025-11-19-shikoku-game-night/ Why X and X+Y aren't independent (except when they are?) - An easy exercise in probability is to ask: if two random variables X and Y are independent, is X also independent of X+Y? The short answer is no—in general, they are not independent. Quick Counter Argument Take X, Y ~ Bernoulli(1/2), independent. Then the pair (X, X+Y) takes values like:... Thu, 21 Aug 2025 00:00:00 +0900 https://adnansadik.dev/2025-08-21-independence-illusion/ https://adnansadik.dev/2025-08-21-independence-illusion/ The curious case of infinite switching - The Two Envelope Paradox You’re handed two sealed envelopes. One has twice as much money as the other. You pick one. Let’s say it has $X. Now comes the twisty part: “Should you switch?” You reason: There’s a 50% chance the other envelope has $2X A 50% chance it has... Sun, 18 May 2025 00:00:00 +0900 https://adnansadik.dev/2025-05-18-first-post/ https://adnansadik.dev/2025-05-18-first-post/