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Statistics, probability and decision theory — educational content for beginners.
Statistics & Probability

Numbers, History, and Illusion: Why the Past Doesn't Predict the Future in Gambling
When we think about gambling, our minds are often drawn to numbers, past draws, and that feeling that by studying the behavior of previous results, one can somehow intuit what will happen next. Many dedicate hours to examining spreadsheets, marking frequencies, and searching for…

The Birthday Paradox: Why Coincidences Are Less Rare Than We Think
🎂 Everyone's Birthday: A Simple Dilemma Imagine you're at a party with about ten people. If someone asked you…

Hidden Secrets: How Information Changes Our Chances in Gambling
The world of gambling is often perceived as a realm of pure luck, where chance dictates everything. But beneath the surface, fascinating mathematical concepts hide, which can help us better understand how luck works, and above all, how the information we have can modify our…

🎲 Unveiling the Secrets of Counting: Combinations, Permutations, and the Vast Sea of Possibilities in Gaming
The allure of gambling often lies in the dream of a big win, a stroke of luck that can change one's life. But behind the curtain of emotion and hope lie the principles of mathematics, which govern the probabilities of every outcome. We're not talking about complex algorithms…

The Bell Curve: The Central Limit Theorem and Gambling
When we think about gambling, we often envision pure and simple luck, an unpredictable roll of the dice, or the draw of a lucky number. But behind this apparent randomness, mathematical principles hide that can help us better understand what to expect, or rather, what not to…

The Push and Pull of Fortune: Variance and Standard Deviation in Games
Have you ever had the feeling that, even with the same "probability" of winning, some games give you more "thrills" than others? It's not just a baseless feeling! Behind it lies a fundamental statistical concept: variance and its sibling, standard deviation. Imagine two…

The Hidden Price of Fun: Understanding Expected Value in Gambling
Gambling games have fascinated people for centuries, promising excitement and, sometimes, unexpected riches. But what lies behind the curtain of lights and sounds? Statistics offer us a powerful tool to understand this: the expected value. It's not a crystal ball that…

The Myth of Memory: Why Past Draws Don't Predict the Future
Many people, drawn by the excitement of gambling, find themselves studying past draw results, looking for patterns, sequences, or "lagging numbers" that might appear soon. The idea is fascinating: if a number hasn't come out for a long time, isn't it perhaps more likely to come…

The Illusion of "Recovery": Why the Law of Large Numbers Doesn't Immediately Help You
Have you ever, after a series of losses in a game of chance, heard a little voice tell you: "Now it has to change! I've lost so much, so next time I have to win"? This common feeling is a perfect example of how our intuition can deceive us, especially when it comes to…
Le performance passate non garantiscono risultati futuri · EV negativo per definizione · 18+ · adm.gov.it
