Pi Mathematica on Instagram: "Probability isn’t just theory — it runs the modern world. From predicting outcomes to managing uncertainty, probability powers: 📊 Data science & statistics — making sense of data 🤖 Artificial intelligence & machine learning — decision-making under uncertainty 📈 Finance & stock markets — risk, returns, and volatility 🧬 Medicine & genetics — diagnosis, trials, and predictions 🌦️ Weather forecasting — modeling future conditions 🎮 Gaming & simulations — randomness

Pi Mathematica on Instagram: "The Central Limit Theorem (CLT) is a core idea in statistics which says that when we repeatedly sample independent and identically distributed random variables, the distribution of their averages will approach a normal distribution as the sample size grows - no matter what the original data distribution looks like. This can be visualized with the classic ball-and-peg example from the video. As each ball lands in a final position, the collection of outcomes gradually