how to calculate house advantage
gambling, roulette, casino @ Pixabay

How to Calculate House Advantage?

Understanding the Roulette House Edge

The house edge, also known by house take or house advantage, is the main source of income for casinos. These establishments have predetermined income streams. payout odds Each visitor can make a profit from every bet placed by the table game. Although it might not appear to be significant in certain cases, the house edge still has the potential of “consuming” the bankroll of players little by little.

As we mentioned, players have many options when it comes to placing bets at the roulette table. It is easy to see why there are so many betting options. This is especially true for craps, where the house advantage ranges from less that 1% to more like 16%.

A deeper understanding of the calculation of the house edge might be beneficial for those with little or no knowledge of roulette.

How to calculate your house benefit

Let’s go back to the French Roulette wheel.

The wheel offers only 37 winning numbers, but a player can place bets on any number of numbers. The payout ratio is 35:1. The casino will pay 35 units for winning a 1-unit bet. A straight-up wager has a 1/37 chance of winning (37%) The player will however be paid 36 units. The house edge is the difference between 37 and 36 units (37 minus36). This is what you get when we multiply the house edge by the likelihood of success and present it in percentage form:

1 x 1/37 = 0.0.0270270x 100 = 2.532702, or a round 2.503270.

The chance of success can increase the chances of losing and increasing the house odds.

HOME EDG = (Odds against Success – House Odds and Probability of Success

If expressed as percentages:

House percent = House Edgex100.


Success Chances = Ways to Lose / How To Win


Success Probability = Hows to Win / Ways to Lose

Straight-up bets have odds of failure at 36/1 (36/1), while the house odds are 35/1 (33/1) with a 1/37 chance. These numbers are used to calculate the House Edge formula.

House Edge = (36/1 – 35/1) x 1/37 = 1/21 = 1/37 = 1/37 = 0.02270270


House Percentage = 0.02270270x 100 = CSS0_

Similar rules apply to other inside wagers.

Let’s look at corner bets (4 numbers). The house odds of failure are 33:4, while those of success are 8:1. The chance of success is 4/37 (4 + 33).

Equal denominators must be used to place the numbers into the formula and subtract fractions. Right now, we have 8/1 as well as 33/4. To get the house odds, we must multiply the numerator and the denominator. The following will result:

33/4 – 32/4 = 1/4x 3/37 = 1/37 = 0.02270270

The House Percentage is 0.0270270 x 100 = 2.7%

As you can see, the edge on a corner bet is equal to a straight-up wager.

One might be curious about the situation regarding even-money betting outside.

Let’s place 1 unit on Black. There are 18 numbers in black. This means there are 18 chances of winning. There are 18 red numbers and one zero. There are 19 possible ways to lose. The house odds of success are 1-1, while the odds of success are 19-18. The odds of success are 18/37 (18/18+ 19).

You need equal denominators to place the numbers in the formula, and subtract fractions. Multiply the numerator with the denominator of the fraction that expresses house odds and divide the result by 18. Or 1/1 x18/18 = 18. Here’s what we will do:

19/18 – 18/18 + 18/37 = 1/18×18/37 = 1/37 = 0.02270270

The House Percentage is 0.0270270 x 100 = 2.7%

Again, we arrive at the same conclusion.

The exception

The sucker wager is an exception. This bet can only be placed on the American Roulette Wheel. The chance of it succeeding on five numbers (0-1, 2, 3, and 00) is 5/38. It is a house bet with 6/1 odds of success, 33/5 against it.

To get the house odds, multiply the numerator by denominator. Or 6/1 x5/5 =30/5. Here’s what we’ll do:

33/5 – 30/5 = 5/38 = 3/5×5/38 = 3/5×5/38 = 3.38 = 3/38 = 0.789474

The House Percentage is 0.0789474 x 100 =

We can also just say “Ouch!” It hurts! “.

The house edge in this case is greater than any other bet made using the double zero wheel (5.26%).

The bottom line: This bet is not for a reasonable player.

Madonna Thomas is the Co-founder and Chief Business Development Officer at Techno Gaming World. Prior to that, She was responsible for leading its digital marketing team and Content Operations.