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확률

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A celestial atlas of probability

scroll to wander the cosmos ↓

Constellation I

An atlas of probability concepts

Each tile is a small chart of the sky. Hover a tile to feel its bloom; let its illustration steady you while the idea unfolds.

조건부 확률

Constellation of Bayes

Two overlapping circles share a single bright star — the joint event. Bayes' theorem is the gravity that pulls one circle through the other.

P(A | B) = P(A ∩ B) / P(B)
H T

베르누이 시행

Coin in Orbit

A single trial with two outcomes — the heartbeat of probability. Each toss a small revolution.

정규분포

The Bell of Stars

Symmetry, falling away from the mean, two thin tails sliding into the night. The bell rings softly across populations.

큰 수의 법칙

Law of Large Numbers

A wandering trace finds its way home — toward the expected value, slowly, surely.

표본공간

Constellation Chalice

An urn holds every possible outcome. Reach in — every draw is a small fate, every fate a small star.

|Ω| = sum of all possibilities
A B C

마르코프 사슬

Memoryless Stars

Each state forgets the past. Tomorrow depends only on today — a sequence of small starlit decisions.

푸아송 분포

Rare-event Stars

Rare lights flicker over fixed intervals — meteor showers, customer arrivals, radioactive decay.

n → ∞

중심극한정리

Stars Becoming Bell

However ragged the start, the average always rounds itself into the bell — the deepest law in the night.

엔트로피

Concentric Uncertainty

Information is the surprise we feel. Entropy is the average surprise — the radius around the bright center where every outcome is equally likely.

H(X) = -Σ p log p
Constellation II

A theorem map of the night

Hover a star. Watch the threads of inheritance light up between theorems.

Kolmogorov Bayes LLN Markov CLT Ergodic Glivenko–Cantelli
Constellation III

Roll the small fates

Three interactive widgets for the wandering eye. Each press emits a star-trail toward the hero.

Roll a die

Result: —

H

Toss a coin

Result: —

Spin the wheel

Result: —