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п»їHow Do Odds Work in Betting?
If you are planning to start betting, be it casino gambling, sports betting, or any other type, it's important to understand the odds. It would be preposterous and absurd to think about placing bets without having a good grip on the main types of betting odds and the ability to read and interpret the various associated formats.
The three main types of betting odds are fractional (British) odds, decimal (European) odds, and American (moneyline) odds. These are simply different ways of presenting the same thing and hold no difference in terms of payouts. This means that a chance (percentage probability) of an event occurring can be converted and presented in any of the aforementioned types of odds.
How Fractional Odds Work.
Fractional odds (aka British odds, UK odds, or traditional odds) are popular among British and Irish bookies. These are typically written with a “slash (/)” or a “hyphen (-),” e.g. 6/1 or 6-1 and announced as “six-to-one.” Fractional odds are used by some of the world’s largest bookmakers, making them the most preferred odds across the globe.
Therefore, the total (potential) return on a stake can be stated as:
For instance, one of the major sports betting websites listed the following fractional odds for futures betting on the team to win the 2017-18 NBA Championship. Below is a selection of the three teams that had the lowest odds of winning.
Golden State Warriors: 10/11 Houston Rockets: 9/4 Cleveland Cavaliers: 7/1.
It can quickly be determined that the Golden State Warriors are the favorites while the odds on Houston and Cleveland winning are longer. That is, one wins only $10 against every $11 wagered on Golden State to be the champions. Meanwhile, one wins $9 against each $4 (i.e. 3.25 times) put at stake for Houston to win, which is a bit less probable. For Cleveland, one wins $7 against each $1 bet.
In the above example, if you bet $100 on Golden State to win, you could make a $90.91 profit [$100 x (10/11)], and could get back your initial stake of $100, resulting in a total payout of $190.91. However, if you wager $100 on Houston to win, you could receive a profit of $225 [$100 x (9/4)], in addition to the $100 initial stake leading to a total payout of $325. The potential profit for a Cleveland win would be even higher, as you could make a profit of $700 [$100 x (7/1)]. With the initial stake of $100 being returned, it would make for a total payout of $800.
How Decimal Odds Work.
Decimal odds (aka European odds, digital odds, or continental odds) are popular in continental Europe, Australia, New Zealand, and Canada. These are a bit easier to understand and work with. The favorites and underdogs can be spotted instantaneously by looking at the numbers.
The decimal odds number represents the amount one wins for every $1 wagered. For decimal odds, the number represents the total payout, rather than the profit. In other words, your stake is already included in the decimal number (no need to add back your stake), which makes its total payout calculation easier.
The total (potential) return on a stake can be calculated as:
For instance, one of the renowned betting websites priced the candidates to win the 2020 U.S. Presidential Election. Here, we list the decimal odds for the candidates and the biggest long shot among the candidates listed by the bookmaker.
Donald Trump: 4.00 Joe Biden: 1.3.
These numbers merely represent the amount one could win against each $1 put at stake. Therefore, if one bets $100 on Donald Trump to be re-elected as president, this person could make a total payout of $400 ($100 x 4.00). This amount includes the initial stake of $100, giving a net profit of $300.
Similarly, a bettor could make a total payout of $130 ($100 x 1.3) if they successfully bet $100 on Joe Biden. Deducting $100 from this return gives the bettor the net profit earned.
Reviewing the prices that the bookmaker has set for each candidate, it can be determined that according to the bookmaker, the probability of Biden (favorite) winning the election is higher than that for Trump. The higher the total payout (i.e. the higher the decimal odd), the less probable (and riskier) it is for the listed candidate to win.
How American (Moneyline) Odds Work.
Let’s understand this with the help of an example:
One of the popular betting websites priced the NCAA "Sweet 16" men's basketball game between Duke and Syracuse on March 23, 2018, with the following moneyline odds.
In this matchup, there is a big difference between the two odds, indicating a much higher probability of Duke winning the game and advancing to the next round of the NCAA Tournament.
Key Takeaways.
The three main types of betting odds are fractional (British) odds, decimal (European) odds, and American (moneyline) odds. These are simply different ways of presenting the same thing, and hold no difference in terms of payouts. Fractional odds are the ratio of the amount (profit) won to the stake; Decimal odds represent the amount one wins for every $1 wagered; and American odds, depending on the negative or positive sign, either indicate the amount one needs to wager to win $100 or the amount one would win for every $100 staked.
The Bottom Line.
If you are planning to enter the betting or the gambling world, it is important to be able to understand and interpret all types of odds well. Once you have mastered the three popular types of odds (fractional, decimal, and American), you can move towards a more detailed read on this topic and find out how the house always wins. Please refer to Understanding the Math Behind Betting Odds & Gambling for the conversion between the different formats of odds, the conversion of odds into implied probabilities, and the differences between the true chances of an outcome as well as the odds on display.


Betting Odds Calculator.
The betting odds calculator allows you to input your stake & odds in American, Decimal, or Fractional formats to quickly calculate the payout for your bets.
Top Offers.
American Odds are the default odds at American sportsbooks. These odds are based on winning $100 for a given bet.
Betting a Favorite: The odds for favorites will have a minus (-) sign , and represent the money you need to risk to win $100 .
So if you're betting on the Packers at -140 against the Vikings, that means Green Bay is a slight favorite. You need to risk $140 to win $100 on the Packers. If they win, you profit $100 and get your original $140 back.
The rest of the world uses Decimal Odds , in part because it’s easier to convert them to implied probabilities than American Odds. Decimal odds represent the amount a bettor wins for every $1 wagered . And the number represents the total return , not just the profit like American and fractional odds.
The Packers would be 1.714 in decimal odds as a -140 favorite in American odds. For every $1 risked, you’re profiting 71.4 cents, plus your $1 back.
Fractional Odds are used primarily in the UK and Ireland. Few bettors use fractional odds for betting sports (other than horse racing), because the conversions to understand return are difficult.
To calculate winnings on fractional odds, multiply your bet by the top number (numerator), then divide the result by the bottom (denominator). So a $10 bet at 5/2 odds is (10 * 5) / 2, which equals $25. A $10 bet at 2/5 odds is (10 * 2) / 5, which is $4.
Did you notice those percentages add up to more than 100%? That’s because of the vig, which is a sportsbook’s cut for facilitating your bet. To calculate implied probability, use the following formulas:
For negative numbers (favorites), drop the minus sign, then do:
For positive numbers (underdogs) :
The bet amount is how much you’re risking on a given bet. As a responsible bettor, it is important to understand proper bankroll management.
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How to Calculate Odds.
Last Updated: February 1, 2021 References.
wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To create this article, 33 people, some anonymous, worked to edit and improve it over time.
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The mathematical concept of odds is related to, yet distinct from the concept of probability. In simplest terms, odds are a way of expressing the relationship between the number of favorable outcomes in a given situation versus the number of unfavorable outcomes. Usually, this is expressed as a ratio (like 1 : 3 or 1/3 ). Calculating odds is central to the strategy of many games of chance, like roulette, horse racing and poker. Whether you're a high-roller or simply a curious newcomer, learning how to calculate odds can make games of chance a more enjoyable (and profitable!) activity.
David Jia Academic Tutor Expert Interview. 14 January 2021. Let's say we bet that we'll roll either a one or a two. In this case, there's two possibilities where we win - if the dice shows a two, we win, and if the dice shows a one, we also win. Thus, there are two favorable outcomes.
David Jia Academic Tutor Expert Interview. 14 January 2021. In the example with the die, if we bet that we'll roll either a one or a two, that means we'll lose if we roll a three, four, five, or six. Since there are four ways that we can lose, that means that there are four unfavorable outcomes. Another way to think of this is as the Number of total outcomes minus the number of favorable outcomes. When rolling a die, there are a total of six possible outcomes - one for each number on the die. In our example, then, we would subtract two (the number of desired outcomes) from six. 6 - 2 = 4 unfavorable outcomes. Similarly, you may subtract the number of unfavorable outcomes from the total number of outcomes to find the number of favorable outcomes.
David Jia Academic Tutor Expert Interview. 14 January 2021. You may choose to represent this ratio as a fraction. In this case, our odds are 2/4 , simplified as 1/2. Note - 1/2 odds don't mean we have a one-half (50%) chance of winning. In fact, we have a one-third chance of winning. Remember when expressing odds that odds are a ratio of favorable outcomes to unfavorable outcomes - not a numerical measurement of how likely we are to win.


How to Create a Sports Betting Algorithm.
Building a sports betting algorithm is no fun. It takes hours and hours of entering data, sorting spreadsheets, setting up databases, testing, and more testing. And all this is no guarantee that it’s going to start spitting out winners like an ATM. But if you love sports and sports betting, it can be an amazing thing to create.
Bookmakers have math geniuses with degrees up the wazoo from the finest schools in the world working day and night with every possible tool at their disposal in order to compose the odds/lines/spreads that the whole world is trying to beat. It’s going to take time and a boatload of effort to create an algorithm that can win, but if you feed the beast the right info, you can create a winning formula . So where do you start?
Data, Data, and More Data.
Your model is going to need data and tons of it – the more you put in, the better your algorithm is going to turn out. It is just as important what data you put into the model. A deep knowledge of whatever sport you are building the algorithm for is of the utmost importance. Go through your mind thinking, “What are the important stats in determining the outcome of a game?” And then you can start importing them into your model.
Let’s look at football and the key stats that determine the outcome of a game: Win-lost record, points scored, points allowed, yards gained on the ground, yards gained passing, turnovers, penalties, home or road game, time of possession, kicking, punting, kick and punt returns, red zone efficiency for offense and defense, and third-down efficiency. There are probably a hundred more pieces of data that go into making the algorithm for football. Now comes the hard part – How do you weight that data so it all balances out? This takes time, trial, and error.
Before you start betting real money, run the algorithm against games in the past and determine its accuracy in those past games. You should keep tweaking and changing the weighting so that the results are more accurate with the past performance.
Where Does the Data Come From?
Many services out there can provide you with all the data you need to create your algorithm. Some of them are free, and some of the deeper dives can cost you an arm and a leg.
To save yourself money and the unholy hell that can be data entry in creating your model, I would strongly suggest investing in some data scraping software. This software will allow you to scrape data from websites directly into spreadsheet format. Learning how to do this (and it’s fairly simple these days with the great range of intuitive software available) will save you hours, if not days or weeks, in data collection as well as the subscription cost of paid services.
Other Models to Learn From.
Before beginning the process, I would take a deep dive into some of the other, more popular data-driven algorithms that predict sports and football. One is the ESPN Football Power Index that aggregates stats and determines the probability of one team beating the other.
Analytics Powerhouse FiveThirtyEight runs scores of football predictions using their ELO method. It also runs an annual contest to see if people can defeat their algorithm. They even let you take a peek into their code, which can help serve as a template for your algorithmic adventure: NFL ELO GAME .
A third company, TheOddsFactory , out of Sweden, runs Monte Carlo simulations on sporting events around the world. They play the game 10,000 times using their program and spit out the most likely result of the game. The company has information on its site that can also help out.
In Conclusion.
You’re going to have to love sports and sports betting to go through all the painstaking work it takes to create a sports betting algorithm. But if you can do the groundwork and stick to a game plan, I’m pretty sure you can create something that will bring you joy and maybe even a few extra dollars.




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