the.com/probability

the math that turns gut feelings into numbers and casinos into empires

means The branch of mathematics that measures how likely something is to happen, expressed as a number between impossible (0) and certain (1).

from From Latin 'probabilis,' meaning 'provable' or 'credible,' rooted in 'probare,' 'to test, prove, approve' — the same source that gives us 'probe' and 'prove.' For centuries it simply meant 'worthy of belief'; the precise mathematical sense was forged in the 17th century out of correspondence between Pascal and Fermat puzzling over gambling problems, when 'likely to be true' hardened into 'measurably likely.'

birth certificateBorn from gamblers' letters between Pascal and Fermat, 1654
birthday paradox23 people, 50% odds two share a birthday
casino edgeRoulette pays 35-to-1 on 37-to-1 odds
monkey theoremInfinite typing eventually yields all of Shakespeare
gambler's fallacyCoins have no memory of past flips
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