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Game Math: Casino Probabilities Step by Step

Probabilities behind casino games worked out step by step: wheels, cards, dice and multipliers, with every number derived in the text.

How likely is a number, a hand or a multiplier? This chapter works out the probabilities behind casino games step by step, so every figure can be checked.

Entries in this chapter

Game Math

Volatility and Session Length

Same house edge, very different sessions: exact roulette calculations of the chance of finishing ahead or going broke, by bet type and bankroll.

· 2 min read
Game Math

Craps Odds Explained

The exact probabilities behind craps: the 36 dice combinations, why the pass line wins 49.29% of the time, the zero-edge odds bet and the bets to avoid.

· 3 min read
Game Math

Blackjack Basic Strategy and House Edge

What basic strategy is, why it gives blackjack one of the lowest house edges in the casino, and how rules such as 6:5 payouts and soft 17 change the numbers.

· 3 min read
Game Math

Baccarat: The Math of Banker vs Player

Why the banker bet wins more often, why it pays a commission, and the exact house edges for banker, player and tie from a full 8-deck calculation.

· 2 min read
Roulette odds and house edge calculatorAny wheel, any bet: probability, payout, house edge and the cost of a session.