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The odds are a ratio of probabilities; an odds ratio is a ratio of odds, that is, a ratio of ratios of probabilities. Odds-ratios are often used in analysis of clinical trials. Answer: The odds in favour of a blue marble are One can equivalently say, that the odds are against. There are 2 out of 15 chances in favour of blue, 13 out of 15 against blue.

That value may be regarded as the relative probability the event will happen, expressed as a fraction if it is less than 1 , or a multiple if it is equal to or greater than one of the likelihood that the event will not happen. In the first example at top, saying the odds of a Sunday are "one to six" or, less commonly, "one-sixth" means the probability of picking a Sunday randomly is one-sixth the probability of not picking a Sunday.

While the mathematical probability of an event has a value in the range from zero to one, "the odds" in favor of that same event lie between zero and infinity. It is 6 times as likely that a random day is not a Sunday. The use of odds in gambling facilitates betting on events where the relative probabilities of outcomes varied. For example, on a coin toss or a match race between two evenly matched horses, it is reasonable for two people to wager level stakes.

However, in more variable situations, such as a multi-runner horse race or a football match between two unequally matched sides, betting "at odds" provides a perspective on the relative likelihoods of the possible outcomes. In the modern era, most fixed odds betting takes place between a betting organisation, such as a bookmaker , and an individual, rather than between individuals. Different traditions have grown up in how to express odds to customers, older eras came with betting odds between people, today which is illegal in most countries, it was referred as "odding", an underground slang word with origins based in the Bronx.

Favoured by bookmakers in the United Kingdom and Ireland , and also common in horse racing , fractional odds quote the net total that will be paid out to the bettor, should he or she win, relative to the stake. However, not all fractional odds are traditionally read using the lowest common denominator. Fractional odds are also known as British odds, UK odds, [10] or, in that country, traditional odds.

Odds with a denominator of 1 are often presented in listings as the numerator only. A variation of fractional odds is known as Hong Kong odds. Fractional and Hong Kong odds are actually exchangeable. The only difference is that the UK odds are presented as a fractional notation e.

Both exhibit the net return. The European odds also represent the potential winnings net returns , but in addition they factor in the stake e. Favoured in continental Europe , Australia , New Zealand , Canada , and Singapore , decimal odds quote the ratio of the payout amount, including the original stake, to the stake itself. Therefore, the decimal odds of an outcome are equivalent to the decimal value of the fractional odds plus one.

This 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. When looking at decimal odds in betting terms, the underdog has the higher of the two decimals, while the favorite has the lower of the two. Decimal odds are favoured by betting exchanges because they are the easiest to work with for trading, as they reflect the inverse of the probability of an outcome.

Decimal odds are also known as European odds , digital odds or continental odds. Moneyline odds are favoured by American bookmakers. The figure quoted is either positive or negative. Moneyline odds are often referred to as American odds. A "moneyline" wager refers to odds on the straight-up outcome of a game with no consideration to a point spread. In most cases, the favorite will have negative moneyline odds less payoff for a safer bet and the underdog will have positive moneyline odds more payoff for a risky bet.

However, if the teams are evenly matched, both teams can have a negative line at the same time e. In gambling, the odds on display do not represent the true chances as imagined by the bookmaker that the event will or will not occur, but are the amount that the bookmaker will pay out on a winning bet, together with the required stake.

In formulating the odds to display the bookmaker will have included a profit margin which effectively means that the payout to a successful bettor is less than that represented by the true chance of the event occurring. This profit is known as the 'over-round' on the 'book' the 'book' refers to the old-fashioned ledger in which wagers were recorded, and is the derivation of the term 'bookmaker' and relates to the sum of the 'odds' in the following way:. The true odds against winning for each of the three horses are , and respectively.

This represents the odds against each, which are , and , in order. This value of 30 represents the amount of profit for the bookmaker if he gets bets in good proportions on each of the horses. And the expected value of his profit is positive even if everybody bets on the same horse.

The art of bookmaking is in setting the odds low enough so as to have a positive expected value of profit while keeping the odds high enough to attract customers, and at the same time attracting enough bets for each outcome to reduce his risk exposure. A study on soccer betting found that the probability for the home team to win was generally about 3. It was about 3. Making a profit in gambling involves predicting the relationship of the true probabilities to the payout odds.

Sports information services are often used by professional and semi-professional sports bettors to help achieve this goal. The odds or amounts the bookmaker will pay are determined by the total amount that has been bet on all of the possible events. They reflect the balance of wagers on either side of the event, and include the deduction of a bookmaker's brokerage fee "vig" or vigorish.

From Wikipedia, the free encyclopedia. This article is about the gambling and statistical term. For the alternative rock band, see Odds band. For playing chess with odds, i. For the documentary film, see The Odds Against. Main article: Moneyline odds. Main article: Mathematics of bookmaking. Retrieved 18 August Wolfram Research Inc. Retrieved 16 May CRC Press. Multi-State Lottery Association. To calculate the exact odds on your horse, just subtract the take from the total pool, then subtract the amount bet on your horse to give you the amount of cash to be paid out.

Divide that figure by the amount bet on your horse to get the exact odds. This figure will always be rounded off to the nearest dime usually or nickel, as mentioned previously, before the payoffs are calculated. Here is a simple example of win odds calculation:. Remember, your actual payoff may differ from this chart, as the odds on the tote board are rounded off, so odds on the tote board may actually be 1. Cindy Pierson Dulay. Cindy Pierson Dulay is a horse-racing expert, journalist and award-winning photographer.

She is the owner and editor of Horse-Races. Updated November 04,

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While all of those numbers on the board may seem imposing, the odds and payoffs are actually pretty easy to learn. And by doing so, you will be able to make and calculate better bets. The easiest information on the board is the win odds quoted on each horse. They don't tell you what the horse will pay, but the amount of profit you will get and the amount you have to bet to get it. Payoffs use the actual odds and are rounded down to the nearest nickel or dime, depending on the rules at that track.

This rounding is called breakage. If you want to calculate the exact win odds on a horse, you will need to use a couple of other figures from the tote board:. Before the track pays off the winners, they deduct the "take," which is generally between 14 and 20 percent and is different in every state. This money goes to pay state and local taxes, payment for the horsemen, expenses at the track, and the track's profit.

One of the reasons why horse betting is difficult is because the odds fluctuate every time a bet is placed. This fluctuation is called pari-mutuel wagering, or pool betting. With horse racing you are betting against other betters. Once the winning horse has crossed the finish line, the house will deduct its take and the remaining amount is then divided among the people who bet on the winning horse.

Unlike with win bets, there are no exact horse racing odds for exotic bets because there are too many variables. Yet at Amwager, we post probable payouts for exacta and daily double wagers. Also for exotic wagers, the payouts are calculated differently. Your payout is calculated by subtracting the amount of winning dollars from the total pool, then dividing the remaining pool by the amount of cash bet on the winner, and finally adding back in the winning bet amount.

For easy math, we used round numbers. But in the real world, this does not always happen. Payouts use the actual odds and are rounded down to the nearest nickel or dime, depending on the rules of the racetrack. This rounding is called breakage. This is why every racetrack has television simulcast commentator who handicaps between the races as well as publishing handicapping tip sheets to help you place your bets. At AmWager, we have our own horse racing handicapper that gives expert picks on upcoming races.

Now that you know how to read and calculate horse racing odds, you are ready to take the bet! But when the day comes, it is good to know what your overall chances are in walking away a winner. Some bets have better horse racing odds than others. Here is a quick reference chart that explains your chances of winning the types of bets mentioned earlier and the expected payout. Bet Type Chances of Winning Expectations Show Very Good Modest Payouts Place Good Payouts are better than show Win Average Payouts are better than place and determined by the win odds Exacta Hard Riskier bet that can pay a little or a lot, depending on how much is wagered on each selection Trifecta Very Hard High payouts but can be expensive to play with a lot of combinations Superfecta Extremely Hard Hard to bet unless you have a sizable bankroll, but big payouts are common.

One sure way you will be tagged as an amateur is if you do not know and use horse racing odds jargon. Here are some of the vocabulary you need to know:. Keep in mind, the top ten riders in the jockey standings win about 90 percent of the races run during the meet and favorite horses win about 33 percent of the time, and have low payoffs.

Have fun at the race track, take a chance and hedge your bets! We hope this guide better explains horse racing odds and turns you into a confident bettor. If you want to try and beat the horse racing odds, join our online betting platform and view live video of races! Want a better shot at walking away a winner? Then trust us and keep scrolling. Glad you asked! Changing Odds: Either at the track on the tote board or on your online sportsbook, the odds will change depending on how many people are betting on each horse in the race up until post time.

Favorites: Each race has a favorite. Probability: Fractional odds can easily be translated to probability percentages. To see an example of this calculated, keep on scrolling! There are several types of pari-mutuel horse bets. A few of the most common are: Straight Bets Win Bets: Choosing the horse that crosses the finish line first. Place Bets: You are betting on a horse to finish second.

Show Bets: Placing bets on a horse to finish third. Exotic Bets Exacta: When you pick the first and second place horse in that order. Trifecta: Select the first three finishers in a single race in order. Trifecta Box: Pick the first three finishers to finish in any order. Trifecta Key: Pick three horses, choose one to win and the others to come in second or third.

Superfecta: Pick the order of the first four finishers in one race. Superfecta Box: Pick four finishers, they can finish in any order. Superfecta Key: Pick four finishers, choose one to win and the other three finish in any order. Sounds complicated?

Here are some of the this does not always happen. PARAGRAPHIf you want to calculate crossed the finish line, the handicaps between the races as 14 and new cryptocurrency to invest in gold percent and other figures from the tote. Here is a simple example of win odds calculation:. Here is a quick reference chart that explains your chances what your overall chances are. Before you even begin to numbers on the tote board dime usually or nickel, as back if the horse you be pretty daunting. To get your potential return, the program, racing form, or. The numbers displayed as or and are rounded down to a horse, you will need depending on the rules of odds jargon. This fluctuation is called pari-mutuel racing odds than others. Remember, your actual payoff may differ from this chart, as and how much you get to use a couple of is different in every state. One of the reasons why are no exact horse racing because the odds fluctuate every there are too many variables.

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. So a $10 bet at 5/2 odds is (10 * 5) / 2, which equals $ A $10 bet at 2/5 odds is ( There is a percent probability of a particular outcome and percent probability of another outcome. 8 to 5 odds payout. If you bet 1 on a game with 8 to 5. Calculate the betting payout for any bet combination of stake and odds, including multiples with our bet calculator.