CARD · 04.A
BAYES
When yesterday updates today. Bayes is the patient friend who says: "tell me what you knew, and I'll tell you what you know now."
P(A|B) = P(B|A) · P(A) / P(B)
PROBABILITY STREET PRESS — VOL · 02
from corner-store coin-flips to cosmic certainty
FIELD NOTE 001
"a coin doesn't remember the last toss — and that, friend, is the whole secret."
EDITOR'S STAMP
P(today)
≈ 0.500
± a smile
SEC · 02
Probability is the friendliest math we have. It's the math of "maybe."
Welcome to the second volume of the Probability Street Press. We took the chalkboard outside, taped it to a streetlamp, and asked: what does the math of chance look like when you let it loose into the city?
What you'll find here are eight pages of friendly arithmetic, hand-stamped diagrams, and one or two tools you can roll yourself. There's a calculator. There's a die. There's a pull-quote you'll probably tape to your fridge.
Every illustration on this page draws itself for you, the way a friend would sketch on a napkin while explaining. None of it is automated; all of it is invitation.
SEC · 03
A small interactive bench. Choose a number of sides on your hypothetical die, and we'll roll it together.
OUTCOME
—
Probability of this face: 1 / 6 ≈ 16.67%
RECENT ROLLS
SEC · 04
Three concepts that live next door to each other on Probability Street.
CARD · 04.A
When yesterday updates today. Bayes is the patient friend who says: "tell me what you knew, and I'll tell you what you know now."
P(A|B) = P(B|A) · P(A) / P(B)
CARD · 04.B
A coin, again and again. Bernoulli counts the heads in a hundred flips and shrugs gently when the answer is just "about half."
P(k) = C(n,k) · pᵏ · (1−p)ⁿ⁻ᵏ
CARD · 04.C
The friendly hill. Add enough small randomnesses together and they all huddle politely around the middle. It happens almost everywhere.
f(x) = (1/σ√2π) · e^(−(x−μ)² / 2σ²)
SEC · 05
Six pieces of street probability you will recognize once you start looking.
FG · 01
38 pockets, one ball, infinite stories. The casino's gentle reminder that 1/38 is enough of an edge for empires.
FG · 02
Drop a thousand marbles, watch them argue with gravity, and a bell curve assembles itself at the bottom.
FG · 03
A stack of independent flips. Each one fresh; none of them remembering the last. The math of forgiveness.
FG · 04
52 cards, 8.07 × 10⁶⁷ permutations. Most decks ever shuffled were unique to history. Yours included.
FG · 05
Reach in. Pull out a marble. Put it back, or don't. The whole field of sampling fits inside one earthenware jar.
FG · 06
A whole that adds to one. The friendliest constraint in mathematics: somebody, somewhere, must win.
If you walked through this issue from front to back, thank you. If you skipped to this last spread first, hello — that was probably the right move.
Probability isn't a way to predict tomorrow. It's a way to be a little kinder to yourself about what didn't go as planned. The dice were always going to land somewhere; the world was always going to choose one branch of the tree.
Roll often. Update gently. Keep good company. — the editor
Until vol. 03, hwaglyul · 確率 · probability