The house edge, which is the commission that a gambling agent such as a

casino, a sportsbook (bookmaker), or a lottery administrator charges, is a

yardstick that measures how a specific gambling game is fair and reasonable.

It is one of the most important factors that every player should consider whenever he/she is engaged in any type of gambling, inasmuch as it indicates how much of the money wagered goes to the gambling agent’s pocket and how much is redistributed to the winners. Indeed, a house edge cannot be zero since casinos, sportsbooks, and lottery administrators have to make some money in order to cover their expenses, and to make some profit as well. Yet, a high house edge simply means that the players are unnecessarily being ripped-off, and as a result, any gambling game with a high house edge should certainly be avoided by a

knowledgeable gambler.

In this article, we shall compare, in the simplest way

possible, the house edges of a roulette, an evens-odd betting, and a Cash 3

lottery game as representatives of the three major gambling categories.

*The Equation*

The easiest way to compute a house edge is to compare the actual winnings that are

paid by the respective agents to the winnings that would be paid in a

fair game or bet. A fair game or a fair bet is one in which no commission

is involved; an obvious model is a game between friends. Therefore, in

percentage form, the house edge is obtained by subtracting an actual game winning

from a fair game winning and dividing the result by the fair game winning,

finally multiplying by 100. Thus,

**House Edge** = [ (fair game winning – actual game winning) / fair game winning ] *

100

*Roulette*

Because of its simplicity and popularity, we shall consider the roulette as a

representative casino game. A European roulette wheel has grooves marked by the

numbers 0 to 36; the American wheel (also called Las Vegas wheel) has an

additional groove marked as ’00’. So, the European wheel has a total of 37

numbers, while the American wheel has 38. Internet casinos usually make available

the option to select the type of wheel the customer prefers, but the brick and

mortar casinos normally offer only one type. The winning number in a roulette

game is the number corresponding to the groove where a spinning ball lands.

Now, consider a fair game in which 38 friends are playing the roulette at home,

and each one selects a number and places a $1 bet on the number (no two or more

players wagering on the same number). When the ball is spun and lands in a

groove, the number marking that groove will be the winning number.

The person who has selected this winning number collects all the money on the

table thus making him win $37. On the other hand, if the game were conducted in

a casino, the winner would be paid only $35. The difference between the two

winnings applied in the above equation gives us the **house edge of a roulette** game

as

( 37 – 35 ) / 37 * 100 = 2 / 37 * 100 = __5.4%__

This means that every time you spend a $100 on an offline or online casino roulette, $5.40 goes to the casino and the rest is redistributed to the winners. Evidently, there are quite a number of casino games and the house edge varies

from game to game, many of them having a house edge less than that of the

roulette. For obvious reasons, a good gambler always prefers games that have low house

edges, while the casino itself loves those games with high house edges. For example,

the house edge of craps is 1.4% which makes it one of the most preferred casino

games by the players.

*Even-odds Sports Betting*

Again, because of its simplicity, we shall consider an even-odds betting as a

representative of this category of gambling. By even-odds we mean that the event

(usually a sports game) has equal chances of going either way. An example is a

tennis match between two competitive players each of which has an equal chance

of winning the match.

A fair bet, in this case, is just a simple bet between two friends who just

pick one of the tennis player as winner. If these two friends wager $1 each, the

winner will collect $2, thus winning $1. If instead the bets are placed

through a sportsbook, the winner will collect only $1.91, since the odds of an

evens game at most bookies and online sportsbooks is 1.91. If you are not familiar with the

decimal representation of odds, 1.91 is the same as 10/11 in UK notation and

-110 in US odds notation. Odds of 10/11 mean that you’ll win $10 when you wager $11; and odds of -110 mean that you have to wager $110 in order

to win $100. Anyway, since the winnings paid by a sportsbook is only $0.91, the **house edge of an even-odds betting** will therefore be

( 1 – 0.91 ) / 1 * 100 = 0.09 * 100 = __9%__

So, this is how sportsbooks make a living. Since several internet sportsbooks offer odds higher than 1.91 in order to lure

bettors, the house edge could be smaller than 9%, which is one of the things that the bettor should be looking for when searching for a sportsbook. On the other hand, if the bettor is

wagering on parlays the house edge would be significantly higher than 9%; for

big parlays, it could go as high as 40%.

It should be apparent by now that the gambler is better off with casino games

than sports betting. It should also be noted that while the house edge could

be a major factor to consider while selecting a gambling game, it is by no means

the only one. For instance, one should consider the fact that casino games are

mostly games of chance, while sports betting also involves a learned decision in

selecting a pick, consequently leading to a higher probability of winning a bet.

*Cash 3*

Depending on the state you are in, this lottery game may be known by a

different name such as Pick 3, Play 3, Daily 3, etc. In this game, the player

selects a three-digit number from 000 to 999, and plays the number as a straight

or as a box. A straight play is a prediction that the number will come exactly

as selected while a box is a prediction for the number to come in any order. For

instance, if a player selects the number 672 and plays it straight, he/she will

win if the number drawn is exactly 672. Instead, if the player plays 672 as a

box, he/she will win as long as the drawn number contains a 6, a 7 and a 2, in

any order…