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Basics

How betting odds work

Decimal odds, implied probability and why the same match is priced differently at each bookmaker.

How betting odds work

Key points

  • Decimal odds are a multiplier: stake × odds is the total return, with the stake included.
  • 100 divided by the odds is the implied probability, the chance the price stands for.
  • The implied probabilities of a market add up to more than 100%. The excess is the bookmaker’s margin.
  • In an accumulator the margin on every leg multiplies, so the bookmaker’s share grows with each selection.

A winning ₦5,000 bet at odds of 2.10 returns ₦10,500: the stake multiplied by the price. That multiplication is the visible half of how betting odds work. The other half is what a price says about probability, and how much of every market the bookmaker keeps for itself. Both can be worked out on a phone calculator.

Decimal odds: how the payout is calculated

Decimal odds are the standard format at Nigerian bookmakers. A decimal price is the total return for every ₦1 staked, with the stake included. Multiply your stake by the odds and you have what a winning bet pays back. Subtract the stake and you have the profit.

Worked example

A single bet

Stake
₦5,000
Odds
2.10
Return
₦5,000 × 2.10 = ₦10,500
Profit
₦10,500 − ₦5,000 = ₦5,500

A winning bet pays back ₦10,500, of which ₦5,500 is profit. A losing bet costs the ₦5,000 stake.

Odds of exactly 2.00 double your money and are called evens. Any price below 2.00 pays a profit smaller than the stake, which is why short prices need a large stake to win a small amount: ₦5,000 at 1.25 returns ₦6,250, a profit of ₦1,250.

In one sentenceDecimal odds × stake = total return, stake included.

Implied probability: what a price is saying

Every price is also a statement about chance. Divide 100 by the decimal odds and you get the implied probability: how often the outcome would have to happen for the bet to break even over the long run. Odds of 2.10 imply 47.6%. Odds of 4.00 imply 25.0%.

Decimal odds, the probability they imply and the return on a ₦1,000 stake
Decimal oddsImplied probabilityReturn on ₦1,000
1.2580.0%₦1,250
1.5066.7%₦1,500
2.0050.0%₦2,000
2.5040.0%₦2,500
4.0025.0%₦4,000
10.0010.0%₦10,000

Swipe sideways to see every column.

The shorter the price, the more likely the bookmaker rates the outcome and the less it pays. Treat implied probability as the bookmaker’s price, not as a forecast: it has the bookmaker’s cut built in, as the next section shows.

The bookmaker’s margin, or overround

A football match has three results: home win, draw, away win. Exactly one of them happens, so their true probabilities add up to 100%. The implied probabilities of a bookmaker’s three prices always add up to more. The amount above 100% is the margin, also called the overround. It is how a bookmaker earns money whichever result comes in.

Worked example

A three-way market

Home win at 2.10
100 ÷ 2.10 = 47.6%
Draw at 3.40
100 ÷ 3.40 = 29.4%
Away win at 3.60
100 ÷ 3.60 = 27.8%
Total
47.6% + 29.4% + 27.8% = 104.8%
Margin
104.8% − 100% = 4.8%

The three prices add up to 104.8%, so the bookmaker’s margin on this market is 4.8%.

The three implied probabilities laid end to end reach 104.8%. Everything to the right of the 100% line is the bookmaker’s margin.

Put another way, this market pays back 95.4% of the money staked on it (100 ÷ 104.8%) and the bookmaker keeps the rest. With the margin taken out in proportion, the same three prices would be 2.20, 3.56 and 3.77. No bookmaker offers those. They are the yardstick a real price is measured against.

Check a market yourself

Divide 100 by each price and add the results. The closer the total is to 100, the more of the stakes go back to punters.

Why the same match is priced differently

Bookmakers rarely show the same prices for one match. Each sets its own margin, each has its own view of the teams, and each moves its prices as money comes in on one side. A bookmaker may also run a thin margin on the big leagues and a wider one on smaller competitions.

One match priced by bookmaker A and by bookmaker B: prices, margin and the return on a ₦5,000 home win
HomeDrawAwayTotalMarginReturn on ₦5,000
Bookmaker A2.103.403.60104.8%4.8%₦10,500
Bookmaker B2.053.303.50107.7%7.7%₦10,250

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Illustrative prices for one match, used to show the arithmetic. They are not quotes from a listed site.

On a ₦5,000 home win the gap is ₦250: ₦10,500 against ₦10,250. These are worked examples of quoted prices, not measurements taken from the listed operators. Odds carry 20% of the editorial overall in the Betbook Table; how we rate betting sites explains the method and its limits.

Fractional and American odds, in brief

Sites built for British or American customers show the same price in other formats. Fractional odds give the profit against the stake: 3/2 means ₦3 of profit for every ₦2 staked, which is 2.50 in decimal. American odds use a sign. A plus figure is the profit on a stake of 100, so +150 is also 2.50. A minus figure is the stake needed to win 100, so −200 is 1.50.

Odds converter

Type a price in any of the three formats to see the other two and the probability it implies. Add a stake to see the return.

Implied probability
40.0%
Return
₦2,500
Profit
₦1,500
Common prices in decimal, fractional and American form, with the probability each one implies
DecimalFractionAmericanImplied
1.201/5−50083.3%
1.501/2−20066.7%
1.804/5−12555.6%
2.001/1+10050.0%
2.503/2+15040.0%
3.002/1+20033.3%
4.003/1+30025.0%
5.004/1+40020.0%
10.009/1+90010.0%

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The converter prints the exact fraction. British bookmakers write some fractions in a traditional form, such as 6/4 for 3/2; the price is the same. Whatever the format, the decimal figure is the one to calculate with.

What “value” means, and what it does not

Punters use the word value for a price that implies a lower probability than the one they believe is true. If you think an outcome happens 45% of the time and the odds are 2.50, which imply 40.0%, then by your own estimate the price is in your favour.

The weak point is the estimate. Nobody knows the true probability of a football result. The bookmaker’s price already reflects a great deal of information, and the margin works against you from the first bet. A bet that looks like value can lose, and so can a long run of them. Value is a way to compare a price with your own opinion. It is not a method that produces profit, and no tipster, site or formula can promise one.

A price can be fair and the bet can still lose.

Odds describe chance. They never remove it.

Decide what you can afford to lose before you bet, and stop when you reach it. Responsible gambling: tools and support.

Accumulators: how margins compound

An accumulator multiplies the odds of every selection together, and every selection has to win. Four selections at 1.90 multiply to 13.0321 (1.90 × 1.90 × 1.90 × 1.90), so ₦1,000 returns ₦13,032 if all four come in.

The margins multiply too. Take a market with two equally likely outcomes. The fair price for each is 2.00; a bookmaker offers 1.90 on both, which pays 95.0% of the fair return. In an accumulator of four such legs that share applies four times: 95.0% × 95.0% × 95.0% × 95.0% = 81.5%. The same ₦1,000 at fair prices would return ₦16,000.

How the bookmaker’s share grows with each selection priced at 1.90 against a fair 2.00
SelectionsCombined odds at 1.90Combined odds at 2.00Share of the fair return
11.902.0095.0%
23.614.0090.3%
36.868.0085.7%
413.0316.0081.5%
647.0564.0073.5%
8169.84256.0066.3%
10613.111,024.0059.9%

Swipe sideways to see every column.

This is why accumulators pay large sums and lose often, and why the price on each leg matters more than a bonus added on top. More on this is in accumulator betting: how accas work. Each bookmaker’s odds score is shown in the table of Nigeria betting sites.

How betting odds work: the short version

  1. Multiply the stake by the decimal odds to get the total return.
  2. Divide 100 by the odds to get the implied probability.
  3. Add the implied probabilities of every outcome in a market. What is above 100 is the margin.
  4. Look at the same market at more than one site: the prices, and the margins, differ.
  5. In an accumulator, expect the margin on every leg to multiply.

18 and over only

You must be 18 or older to open a betting account in Nigeria.

Apply decimal prices with the accumulator return calculator. The double-chance explanation and draw-no-bet guide show why a different settlement condition changes the price.

For a price that moves during submission, read Odds Changed Before Your Bet Was Accepted.

Questions and answers

What do odds of 2.00 mean?

Odds of 2.00 return twice the stake: ₦1,000 returns ₦2,000, of which ₦1,000 is profit. They imply a probability of 50.0% and are also called evens.

How do I calculate a payout from decimal odds?

Multiply the stake by the odds. ₦5,000 at 2.10 returns ₦10,500 with the stake included, so the profit is ₦5,500.

What is a bookmaker’s margin?

The margin, or overround, is the amount by which the implied probabilities of every outcome in a market add up to more than 100%. Prices of 2.10, 3.40 and 3.60 add up to 104.8%, a margin of 4.8%.

Are higher odds always better?

For the same outcome, yes: the higher price pays more. Between two different outcomes, higher odds mean the bookmaker rates the outcome as less likely, not that the bet is better.

Do odds show which team will win?

No. Odds show how a bookmaker prices each result, with its margin included. The favourite is the outcome with the lowest odds, and favourites lose regularly.

Why do odds change before kick-off?

Bookmakers move prices as team news arrives and as money comes in on one side. Check the price on your bet slip before you confirm a bet.

Next steps

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Betting is for adults aged 18 and over

Bet only what you can afford to lose, and set a deposit limit before your first bet. If betting stops being fun, stop.

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About this guide

Published by Betbook. Figures about a betting site are the ones the operator states on its own site. Betbook earns commission from the betting sites it lists. That affects which sites are covered and can affect where they appear in the table. Scores are Betbook’s editorial assessment against the published criteria.

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