every hat is rolled at checkout against the probabilities below. they are published here and enforced in code: the same table drives the machine that rolls your hat, and our test suite fails if the two ever disagree. no tier is capped. VOID included, the odds are the only scarcity there is.

color announces rarity at a glance: each tier owns exactly one of the five corduroy colorways, black for the everyday hat, burgundy for the one-in-four-hundred roll. what makes a letter roll rare is its shape: how many letters, in how many groups. the extremes are the rare ends: the rarer the hat, the less the monkey typed, and the bigger what is left lands.

a VOID hat sets aside the random letters entirely. its front carries an excerpt of a shakespeare sonnet, its serial is numbered in its own VOID sequence, and its rarity card says so.

every roll is made by a seeded random number generator, so every hat is reproducible from its stored seed. the same combination of tier and letters is never minted twice.

tier	odds	colorway	the front stitch
common	70%	black	three groups · 9–11 letters, rolled at random
uncommon	20%	brown	two groups · 6–8 letters, rolled at random
rare	8%	navy	one group · 4–5 letters, rolled at random
legendary	1.75%	olive	one group · 2–3 capitals, rolled at random
void	0.25%	burgundy	a shakespeare sonnet excerpt