1 1 Odds In Decimal
Therefore, the decimal odds of an outcome are equivalent to the decimal value of the fractional odds plus one. Thus even odds 1/1 are quoted in decimal odds as 2.00. The 4/1 fractional odds discussed above are quoted as 5.00, while the 1/4 odds are quoted as 1.25. There are two steps to convert decimal odds into a fraction. Step 1) Convert decimals odds into a fraction by subtracting 1, and using 1 as the denominator. Example: 3.40 – 1 = 2.40. This creates the decimal odds of 2.40/1. While this is a perfectly good fraction, bookmakers never use numbers with decimal points in fractionals.
When converting decimal odds to American odds there are two different formulas depending on whether you are converting odds of 2.00 or higher or odds under 2.00. Converting odds of 2.00 or higher: You take (decimal odds -1). 100. Examples: Odds of 2.2 conversion (2.2 -1).100 = +120. Odds of 3.45 conversion (3.45 -1).100 = +245. In decimal odds, odds-on selections will be expressed as values between 1.0 and 2.0 Many websites use the decimal format as standard when displaying the prices of sporting events. In fact, decimal odds are commonly used all over Europe. They are popular because they are so easy to understand, displaying the total return from a 1 unit stake.
The odds converter tool in this page will convert odds from any of the three main formats into the other formats.
It will also calculate the relevant implied probability too.
To use it, simply enter the odds you wish to convert in the appropriate box, and then click the “Convert Odds” button. It’s as easy as that!
If you came to this page specifically looking for a tool to
convert odds, then it’s likely that you already have a
fundamental understanding of what odds are and how they work in
relation to sports betting. If this is a subject that you’re not
particularly familiar with, however, then you might want to read
the following article from our beginner’s guide to sports
betting.
Odds Conversion Math
Overview of Different Odds Formats
If you live in the United States, then simply knowing the
moneyline odds will suffice, as this is the primary format used
by the limited number of gambling sites available for US
residents. Likewise, if you live in the United Kingdom, then you
only really need to know how fractional odds work. If you live
in Europe, then the decimal format is the one that will be most
important for you to understand.
With all that being said, it’s still a good idea to be
familiarized with how each format works. Many online betting
sites will allow you to choose the format that their odds are
displayed in. Please keep in mind that the conversation may
round in their favor.. For example, most US friendly sites offer
moneyline odds of -110 when betting points spreads. If you
choose to bet in the decimal format instead, then you’ll often
be given odds of 1.90. The true conversion is 1.9091 though, so
you’ll potentially lose a small percentage of your winnings if
you bet based on their conversion.
Therefore, it can be an advantage to use the primary format
offered by an online bookmaker, which is why it pays to make
sure you understand each of the different formats. We’ve
explained them all below for you.
American Odds/Moneyline Odds
Odds in this format are expressed as either a positive number
or a negative number. When they are a positive number, the
number represents how much in winnings is paid per $100 staked.
The following examples illustrate how positive moneyline odds
work.
When they are a negative number, the number represents the
amount of money that needs to be staked in order to win $100.
The following examples illustrate how negative moneyline odds
work.
Please see our article on calculating payouts from moneyline
odds for details on how to work out the potential winnings from
wagers using this format.
Decimal Odds
This is the most popular odds format outside of the United
States and is sometimes referred to as European odds. It’s a
very simple format where the odds are expressed as a single
positive number, usually to two decimal places. This number
states how much a winning bet returns (including the initial
stake) for each unit wagered. The following examples illustrate
the decimal format in practice.
Our article explaining how to calculate payouts from decimal
odds will teach you how to work out the potential returns from
wagers placed using this format.
Fractional Odds
Fractional odds are mostly used in the UK, but lately the
decimal format has been becoming more popular. Odds in this
format are displayed as a fraction, as the name suggests. The
first number of the fraction shows how much you can win per the
second number staked. This sounds more complicated that it
actually is and the easiest way to understand this format is
simply to look at some examples.
Please note that when the second number of the fraction is
higher than the first, it means the odds are less than even
money. This is referred to as odds on (as opposed to odds
against), and is the equivalent of when moneyline odds are a
negative number or when decimal odds are a number less than 2.
Odds Conversion Math
Our conversion tool is the easiest way to change odds between
formats but there will be times when you don’t have access to
it. When you’re at a Las Vegas sportsbook or a high street
bookmaker, you may need to be able to do these conversions in
your head. For this reason, we’ll run through the math required
to convert each format into all of the other formats.
Converting Moneyline Odds
To Decimal
The calculations required to convert from moneyline odds
changes depending on whether the odds are positive or negative.
To convert positive odds into decimal odds, the following
calculation is required.
Example: Converting +175
(+175 + 100) / 100 = 2.75
For negative odds, we ignore the minus symbol and use the
following formula.
Example: Converting -110
(110 + 100) / 110 = 1.909
To Fractional
When converting from the moneyline format into the fractional
format, the calculations again depend on whether the odds are
positive or negative. To convert positive odds, you simply
create a fraction by putting the relevant number over 100 and
then simplifying the fraction if possible.
300/100 is simplified to 3/1
To convert negative odds, you create a fraction by putting
100 over the relevant number (ignoring the negative sign).
Again, you then need to simplify the fraction if possible.
100/110 is simplified to 10/11
Converting Decimal Odds
To Moneyline
The method required to convert the decimal format over to the
moneyline format is dependent on whether the odds are greater
than 2.0 or not. We’ll look at how to convert odds of 2.0 or
less first. To start with, you have to carry out the following
calculation.
After doing this calculation, the odds are rounded and a
negative sign must be added.
100 / (1.95 – 1) = 105.25
To convert odds of greater than 2.00, you must start with the
following calculation.
To convert odds of greater than 2.00, you must start with the following calculation.
You then add a positive sign to the result, as shown in this
example.
(2.45 – 1) x 100 = 145
Positive sign added = +145
To Fractional
The first step in converting from decimal to fractional
format is to create a fraction by using the formula.
This will often create a fraction that includes a decimal,
which isn’t a proper fraction. To overcome this, the next step
is to multiply both sides of the fraction by 100. Finally, the
fraction needs to be simplified. The following example
illustrates this better than any written explanation can.
(1.45 – 1) / 1 = 0.45/1
Multiply both sides by 100 = 45/100
Simplified = 9/20
Converting Fractional Odds
Before we get into the math involved here, you need to
understand the terms numerator and denominator. In this context,
the numerator is the first number in the fraction and the
denominator is the second number in the fraction. With odds of
2/1, for example, 2 is the numerator and 1 is the denominator.
To Moneyline
There are two methods needed for converting from the
fractional to the moneyline format. The first is for when the
numerator is greater than the denominator. The following formula
needs to be used in the beginning.
A positive sign then needs to be added to create the
moneyline odds, as per the following example.
(6 / 4) x 100 = 150
Positive sign added = +150
The second method is for when the denominator is larger than
the numerator. In these cases, the following formula needs to be
used.
A positive sign then needs to be added to create the correct
moneyline odds. This is illustrated in the following example.
100 / (2 / 5) = 250
Negative sign added = -250
To Decimal
Converting odds from the fractional format to the decimal
format is relatively simple and it requires just the following
formula.
(11 / 10) + 1 = 1.10
Implied Probability Explained
Implied probability in relation to sports betting is
basically the implication of the odds as it relates to the
chances of an outcome happening. We’ll cover this in more detail
shortly, but first let’s look at how to calculate it. It’s
easiest to determine implied probability from odds in the
decimal format, using the following simple formula.
What this example shows us is that the implied probability of
2.50 odds is 0.40 (or 40% if expressed as a percentage). This
means that odds of 2.50 on any possible outcome imply that the
chance of that outcome happening is roughly 40%. So if, for
example, a tennis player is at 2.50 to win an upcoming match,
the implication is that he has a 40% chance of actually winning
that match.
You can read more about implied probability in this article on probability in sports betting. The article also
covers expected value, which is a related topic that you should definitely learn about if you want to be a
successful bettor.
Understanding Vig
When looking at the odds set by bookmakers, it’s important to
recognize that implied probability is rarely an entirely
accurate reflection of the real chances of a wager winning. This
is because bookmakers always try to set the odds at levels that
are lower than they actually should be in relation to real
probability. If their view was that a soccer team had a 60%
chance of winning a match, for example, they wouldn’t offer odds
that exactly reflected that chance. Their odds would be lower,
as this is how they make money successfully.
By reducing the odds relative to the probability of an
outcome happening, bookmakers effectively charge a commission
for every wager they take. This commission is known as vig,
which is short for vigorish. It can also be referred to as the
overround or juice. It’s similar in some respects to the house
edge in casino games and it’s basically what gives the
bookmakers an advantage over their customers.
What sets the bookmakers’ advantage apart from the casinos’
advantage is that, unlike the house edge, it can be overcome. In
order to overcome it, though, you first need to understand
exactly how vig works and the effect it has in sports betting.
You should visit our page on the subject of how bookmakers make
money, as this is all about the methods that bookmakers use to
ensure they are profitable. Charging vig is one of these methods
that we explain thoroughly.
Fixed-odds betting is a form of wagering against odds offered by a bookmaker or an individual or on a bet exchange. It involves betting on an event in which there is no fluctuation on the payout. In Australia, the practice is usually known as 'SP betting'.
Calculating fixed odds[edit]
It is customary with fixed-odds gambling to know the odds at the time of the placement of the wager (the 'live price'), but the category also includes wagers whose price is determined only when the race or game starts (the 'starting prices'). It is ideal for bookmakers to price/mark up a book such that the net outcome will always be in their favour: the sum of the probabilities quoted for all possible outcomes will be in excess of 100%. The excess over 100% (or overround) represents profit to the bookmaker in the event of a balanced/even book. In the more usual case of an imbalanced book, the bookmaker may have to pay out more winnings than what is staked or may earn more than mathematically expected. An imbalanced book may arise since there is no way for a bookmaker to know the true probabilities for the outcome of competitions left to human effort or to predict the bets that will be attracted from others by fixed odds compiled on the basis personal view and knowledge.
With the advent of Internet and bet exchange betting, the possibility of fixed-odds arbitrage actions and Dutch books against bookmakers and exchanges has expanded significantly. Betting exchanges in particular act like a stock exchange, allowing the odds to be set in the course of trading between individual bettors, usually leading to quoted odds that are reasonably close to the 'true odds.'
'The best of it'[edit]
In making a bet where the expected value is positive, one is said to be getting 'the best of it'. For example, if one were to bet $1 at 10 to 1 odds (one could win $10) on the outcome of a coin flip, one would be getting 'the best of it' and should always make the bet (assuming a rational and risk-neutral attitude with linear utility curves and have no preferences implying loss aversion or the like). However, if someone offered odds of 10 to 1 that a card chosen at random from a regular 52 card deck would be the ace of spades, one would be getting 'the worst of it' because the chance is only 1 in 52 that the ace will be chosen.
In an entry for L'Encyclopédie (the Enlightenment-era 'French Encyclopedia'), Denis Diderot cites a similar example in which two players, Player A and Player B, wager over a game of dice that involves rolling two six-sided dice. Player A wins if the dice add up to 12, of which there is only one possible case. Player B wins if the dice fall in any other combination, of which there are 35 possibilities.[1] It is mathematically disadvantageous to make a bet if one gets'the worst of it.' Accordingly, for the bet to be 'fair,' the amount each player could potentially lose or gain from the wager should be adjusted, depending on the odds of their success.
Laying odds[edit]
When making a bet in which one must put more at risk than one can win, one is laying the odds. Rational bettors will do so only if the actual chances of an adverse outcome are low enough that the expected outcome even after deduction of taxes and any transaction costs is favorable to the person placing the bet. For example, if one bets $1,000 that it will rain tomorrow and can win only $200 but can lose the entire $1,000, one is laying odds that will rain tomorrow. Laying odds is reflected in the colloquial expression '[I would] dollars to doughnuts' — with which the speaker is expressing a willingness to risk losing something of value in exchange for something worthless, because winning that bet is a certainty.[2]
Lay betting[edit]
'Lay betting' is a bet that something will not happen, so 'laying $50 on a horse' is betting the horse will not win. Bookmakers sell bets based on the odds of a specific outcome, but lay betting allows the bettor (in some English-speaking countries, the 'punter') to reverse roles with the bookmaker, using odds to sell the opposite outcome to the bookmaker. In this context, 'lay' is used in the sense of 'layman', i.e., a bet sold by someone who does not sell bets professionally.
Types of odds offered[edit]
There are three widely used means of quoting odds:
Fractional odds[edit]
Favoured by bookmakers in the United Kingdom and Ireland and common in horse racing, fractional odds quote the net total that will be paid out to the winning bettor relative to the stake. The term 'fractional odds' is something of a misnomer, especially when visually reinforced by using a slash (as opposed to, e.g., a colon or the word 'to' or 'on') to separate a potential gain from the amount that a bettor must wager in order to receive it upon a win, because the 'fraction' in question represents not the odds of winning or even the reciprocal of the odds of winning but rather the fraction (for any odds longer than 'even money' or chances of winning less than 50%, an improper fraction) of the amount at stake that the upside outcome represents. This fraction may be derived by subtracting 1 from the reciprocal of the chances of winning; for any odds longer than 'even money,' this fraction will be an improper one.[3][4] Odds of 4:1 ('four-to-one' or less commonly 'four-to-one against') would imply that the bettor stands to make a £400 profit on a £100 stake. If the odds are 1:4 (read 'one-to-four', or alternatively 'four-to-one on' or 'four-to-one in favor'), the bettor stands to make £25 on a £100 stake. In either case, against or on, should he win, the bettor always receives his original stake back, so if the odds are 4:1 the bettor receives a total of £500 (£400 plus the original £100). Odds of 1/1 are known as evens or even money.
Not all fractional odds are traditionally read using the lowest common denominator. Perhaps most unusual is that odds of 10:3 are read as 'one-hundred-to-thirty'.
Fractional odds are also known as British odds,UK odds,[5] or, in that country, traditional odds.
Decimal odds[edit]
Favoured in Continental Europe, Australia, New Zealand and Canada, decimal odds differ from fractional odds by taking into account that the bettor must first part with their stake to make a bet; the figure quoted, therefore, is the winning amount that would be paid out to the bettor.[4][6] Therefore, the decimal odds of an outcome are equivalent to one plus the decimal value of the fractional odds; in the absence of built-in house advantage to cover overhead, profit margins, or (for an illegal enterprise) compensation for the fact that both chances of prosecution and penalties in the event of conviction tend to be higher for bookmakers than for clients, the decimal odds associated with a given outcome would be the decimal expression of the reciprocal of what the offering party assesses to be the outcome's chance of occurring.[7] Thus, even odds 1/1 are quoted in decimal odds as 2. The 4/1 fractional odds discussed above are quoted as 5, while the 1/4 odds are quoted as 1.25. It is considered to be ideal for parlay betting because the odds to be paid out are simply the product of the odds for each outcome wagered on.
1 1 Odds In Decimal Converter
Decimal odds are also known as European odds, digital odds or continental odds and tend to be favoured by betting exchanges because they are the easiest to work with for trading, in this case the purchase and sale of upside and downside risk.[5]
Moneyline odds[edit]
Moneyline odds are favoured by United States bookmakers and as such are sometimes called American Odds.[4] There are two possibilities: the figure quote can be either positive or negative. Moneyline refers to odds on the straight-up outcome of a game with no consideration to a point spread.
What Is 1 In Decimal
- Positive figures
- If the figure quoted is positive, the odds are quoting how much money will be won on a $100 wager (done if the odds are better than even). Fractional odds of 4/1 would be quoted as +400 while fractional odds of 1/4 cannot be quoted as a positive figure.
- Negative figures
- If the figure quoted is negative, the moneyline odds are quoting how much money must be wagered to win $100 (this is done if the odds are worse than even). Fractional odds of 1/4 would be quoted as −400 while fractional odds of 4/1 cannot be quoted as a negative figure.
- Even odds
- Even odds are quoted as +100 or −100. Some but not all bookmakers display the positive symbol.
Odds conversion[edit]
To convert fractional odds to decimal, take the fractional number, convert it to decimal by doing the division, and then add 1. For example, the 4-to-1 fractional odds shown above is the same as 5 in decimal odds, while 1-to-4 would be quoted as 1.25.
The method for converting moneyline to decimal odds depends on whether the moneyline value is positive or negative. If the moneyline is positive, it is divided by 100 and add 1. Thus, +400 moneyline is the same as 5.0 in decimal odds. If the moneyline is negative, 100 is divided by the absolute moneyline amount (the minus signed is removed), and then 1 is added. For example, −400 moneyline is 100/400 + 1, or 1.25, in decimal odds.
| Decimal | Fractional | Moneyline | Win% (to break even) | Return (minus stake) |
|---|---|---|---|---|
| 1.01 | 1/100 | −10,000 | 99.01% | 1.00% |
| 1.11 | 1/9 | −900 | 90.00% | 11.11% |
| 1.33 | 1/3 | −300 | 75.00% | 33.33% |
| 1.50 | 1/2 | −200 | 66.67% | 50.00% |
| 2.00 | 1/1 | ±100 | 50.00% | 100.00% |
| 3.00 | 2/1 | +200 | 33.33% | 200.00% |
| 4.00 | 3/1 | +300 | 25.00% | 300.00% |
| 10.00 | 9/1 | +900 | 10.00% | 900.00% |
| 101.00 | 100/1 | +10,000 | 0.99% | 10,000.00% |
See also[edit]
References[edit]
- ^'Wager'. University of Michigan Library. Retrieved 1 April 2015.
- ^Listening to America, Stuart Berg Flexner (Simon and Schuster, New York, 1982).
- ^'Betting School: Understanding Fractional & Decimal Betting Odds'. Goal. 10 January 2011. Retrieved 27 March 2014.
- ^ abcCortis, Dominic (2015). Expected Values and variance in bookmaker payouts: A Theoretical Approach towards setting limits on odds. Journal of Prediction Markets. 1. 9.
- ^ ab'Betting Odds Format'. World Bet Exchange. Archived from the original on May 2, 2014. Retrieved 27 March 2014.
- ^D., Chris. 'What is Fixed odds betting and Due Column betting?'. TBR. Retrieved 27 March 2014.
- ^'Fractional Odds'. betstarter.com/. Archived from the original on April 2, 2014. Retrieved 27 March 2014.