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17 August 2026

Bet On Good: a reading board on games of chance

This board is a reading index about games of chance: how their odds are counted, where their commercial forms came from, how the games themselves are put together, and how the rules governing them accumulated. It is written for people who want to understand the subject rather than to take part in it.

Every figure quoted anywhere on the board is arithmetic worked in the text from the stated rules of the game being discussed. Nothing here is a claim about any operator, product or market, and no game, venue or service is named, rated, compared or recommended. Where a calculation appears, the working is shown so it can be checked rather than taken on trust.

Entries are grouped by subject rather than by date. The four category tables below list what is on the board; the index beneath them lists the individual entries with the subject tag that describes what kind of writing each one is.

The Mathematics of Odds
Sample spaces, odds notation, expected value and why the arithmetic settles the question. Open the category index.
Entry typeEntryLast updatedSectionsFigures
worked arithmeticProbability, odds and the gap between them

Two ways of writing the same fact, and the conversion that keeps them honest.

17 August 202641
worked arithmeticHouse edge and expected value

One calculation per wager, and the reason the arithmetic never reverses.

17 August 202641
worked arithmeticVariance, the long run and the law of large numbers

Why short runs look like anything at all and long runs look like the edge.

17 August 202641
Lotteries and Betting in History
Drawing lots as public finance, the rise of fixed-odds bookmaking, and the pool. Open the category index.
Entry typeEntryLast updatedSectionsFigures
narrative entryLotteries, from public finance to state monopoly

Drawing lots as a way of raising money, and the long argument about who may run one.

17 August 202640
worked arithmeticBookmaking, odds notation and the overround

Making a book on events with no sample space, and the margin that makes it work.

17 August 202641
How Games Are Built
Paytables, hold targets, reel weighting and the trade between edge and playing time. Open the category index.
Entry typeEntryLast updatedSectionsFigures
worked arithmeticHow a game of chance is designed

Working backwards from a hold target to a paytable, and the constraints in between.

17 August 202641
worked arithmeticThe mathematics inside a reel machine

Virtual reels, weighted stops and the arithmetic that turns a paytable into a return.

17 August 202641
Rules and Regulation
From prohibition to licensing, laboratory testing and disclosure of the numbers. Open the category index.
Entry typeEntryLast updatedSectionsFigures
narrative entryHow regulation of games of chance developed

Prohibition, licensing, laboratory testing and the slow arrival of disclosure.

17 August 202650
Sections within each entry
What is on the board
Board contents
Entries published on the board8
Subject categories4
Sections across all entries33
Worked figure tables6
Entries carrying worked arithmetic6
Most recently revised entryHow regulation of games of chance developed
Entry carries worked arithmetic with the steps shown.Entry is narrative: history, development or design reasoning.

All times on this board are UTC. Dates shown are the date an entry was last revised. Bet On Good.