확률
probability
Every coin flip is an irreducible mystery. But a thousand flips reveal a curve so smooth it seems designed. Probability is the architecture hidden inside randomness.
P(X = k) = C(n,k) p^k (1-p)^(n-k)
The binomial distribution: counting successes in a sequence of independent trials. Each trial is uncertain. The aggregate is inevitable.
As samples accumulate, the sample mean converges to the true mean. Chaos resolves into certainty. This is the Law of Large Numbers.
Randomness is not the absence of order. It is order waiting to be revealed.