확률 — probability as architecture
Where randomness sculpts beautiful structures.
Mathematics made fluid.
Probability distributions are the blueprints of randomness — each one a unique architectural form that describes how outcomes flow through possibility space.
The bell curve — nature's favorite architecture. Heights, measurement errors, exam scores all follow this flowing, symmetric form. The peak represents the most probable outcome, with tails that never quite touch zero.
The architecture of rare events. How many meteors hit Earth per year? How many calls arrive at a switchboard per minute? Poisson captures the rhythm of discrete occurrences in continuous time.
The shape of waiting. How long until the next earthquake? The next bus? Exponential distribution models the time between events, with a steep initial probability that flows into a long, graceful tail.
The master architect of belief revision. Given new evidence, how should we reshape our understanding? Bayes connects prior knowledge to posterior certainty through the lens of likelihood.
Watch probability distributions come alive. Each simulation reveals how randomness generates structure from chaos.
Flip coins and watch the binomial distribution emerge. As trials increase, the shape converges toward the normal curve.
A particle takes random steps. Over time, the distribution of its position forms the unmistakable bell curve of the normal distribution.
Roll two dice repeatedly and observe how the sum distribution emerges. The central limit theorem in action — discrete randomness converging to continuous form.