Element of Risk vs. House Edge: The Number Casinos Don't Quote

Last reviewed: August 2026

Two players argue about Mississippi Stud. One says it’s expensive: “4.91% house edge!” The other says it’s cheap: “1.37% element of risk!” Both numbers are correct. They’re measuring different things — and knowing the difference changes how you compare games.

The two definitions

  • House edge = your average loss divided by your initial bet (the ante). One number per game, easy to compare — and the one most tables get judged by.
  • Element of risk = your average loss divided by all the money you put in play, including forced raises. This is what a dollar actually costs you once the game makes you keep betting.

For flat-bet games — roulette, baccarat, slots — the two are identical: you bet once, the ante is the action. They only diverge in games with mandatory or strategic raising.

Where they diverge, exactly

GameHouse edge (per ante)Avg. total betElement of risk
Mississippi Stud4.91%3.59 antes1.37%
Four Card Poker3.40%2.18 antes1.56%
Three Card Poker3.37%1.67 antes2.01%
Let It Ride3.51%1.22 bets2.86%
Blackjack~0.5%~1.1 bets~0.45%

Mississippi Stud has the worst house edge on this list and the best element of risk — the raises you make are mostly made with an advantage, so the extra action is cheap.

Which number should you use?

Use element of risk to compare the real price of games — it answers “what does each dollar through the machine cost me?” Use house edge to size sessions — it answers “what does each hand cost me?”, since you buy in per ante, not per unit of theoretical action.

And the variance warning: a low element of risk in a raise game still means big swings, because you’re putting 4–10 units on single hands. Cheap per dollar isn’t gentle per night.

Every simulator on this site shows both figures for its game, computed exactly — see them side by side.