Extra Credit: The House Edge, Game by Game

Every game on the casino floor is a bet with a price. The only question worth asking is what that price is — and for almost every game, it’s rigged against you on purpose. For exactly two, a skilled player can flip it. Here’s the math, game by game, and why “the house always wins” is a theorem, not a slogan.

How to read any casino game

One tool reads them all: expected value. Multiply each outcome’s payoff by its probability, add them up, and you have the average result of one bet:

The house edge is just the negative of that, per dollar staked. When EV is , the house edge is 5% — the casino keeps a nickel of every dollar that crosses the table, on average, forever. It doesn’t win every hand. It wins the long run, because it pays winners a little less than the true odds. Do that a million times and the law of large numbers does the rest.

The two you can beat

Two games break the pattern — not with a betting system, but with genuine skill. In both, a disciplined player can hold a real, positive edge. In both, that’s far harder (and more dangerous) than the movies let on.

Blackjack: Basic Strategy & Card CountingThe one house game with memory. Perfect basic strategy gets the edge to ~0.5%; counting the shoe can flip it positive — and get you barred. The math, and the catch.Player edge is possible →

Poker: Why Skill Wins (and the Rake)You’re not playing the house — you’re playing the table, minus the rake. Pot odds, position, and why the better player wins over the long run.A game of skill →

The house’s games

Everything below is negative expected value by construction. No system, streak, or “hot machine” changes it — the edge is baked into the payouts. The only variable is how fast it bleeds you.

Roulette: 5.26% a SpinTwo green pockets are the whole edge. Every bet on an American wheel carries the same 5.26% tax; Europe’s single zero halves it.−5.26% →

Craps: Good Bets and Sucker BetsThe pass line is one of the best bets in the house at −1.41%. Ten feet away, “Any 7” is −16.67%. Same table, same dice.−1.41% to −16.67% →

Slots: The Edge You Can’t SeeThe house edge hides inside the machine’s return-to-player. No skill, no count, no timing — just a fixed tax, spun 600 times an hour.−3% to −12% →

Baccarat: Banker, Player, TieOne of the lowest edges on the floor — Banker is just −1.06% — but still negative, still skill-free, and the Tie bet is a −14% trap.−1.06% to −14% →

Keno: The Worst on the FloorA lottery in the corner of the casino, paying pennies on the true odds. The house edge runs 20–35% — the worst bet in the building.−20% to −35% →

Read this part: the danger in “beatable”

Blackjack counting and winning poker are real and mathematically positive. They are also, for almost everyone, a bad idea. The math is the easy part; everything around it is the catch. The edge is tiny and the variance is savage — a ~1% edge means the swings dwarf the signal, so it takes a large bankroll and iron discipline just to survive to the long run (which is a Kelly criterion problem — overbetting a small edge is how skilled players still go broke). The casino isn’t a fair opponent: it can shuffle early, cut the deck deep, lower your limits, or bar you outright. And “easy money” is the tell of a losing gambler — the reality is a grinding, low-margin job the house is actively trying to end.

The honest takeaway is the one that runs through this whole site: know the price before you play. In a casino, the price is the house edge, and for every game but two it’s a wall you cannot climb. That’s a feature of the arithmetic, not a run of bad luck.

The same expected-value math runs the sports side of the house. See it work on the free +EV tool, or read how expected value finds an edge.