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01 Games

Games: rules and mathematics

How each game is played and what its mathematics says: the odds, the payouts and the house edge, computed from the rules.

Card games

BaccaratPunto banco baccarat rules: card values, the fixed drawing rules, the commission on Banker and the house edge of each bet.
BlackjackBlackjack rules, how often the dealer busts, the basic strategy tables and the house edge that remains even with them.
PokerTexas hold'em rules, the ranking of poker hands, starting-hand probabilities, outs and pot odds, explained neutrally.

Wheel and dice games

Slot machines

Slot machinesHow slot machines work: the random number generator, the paytable, RTP, volatility, and an imaginary machine whose figures are fully calculated.

Lotteries and keno

Lotteries and kenoHow number-draw lotteries and keno work, how many combinations there are and why every combination has exactly the same chance.

Betting

Betting oddsDecimal, fractional and American odds, converting between them, implied probability and the margin built into odds, on an invented example.

Board games

BackgammonBackgammon rules: the board, moving, hitting, bearing off, the doubling cube and the dice probabilities, including the chance of hitting a blot.