This 1X2 odds calculator is also a practical 1X2 probability calculator: enter football Home, Draw and Away prices to remove the bookmaker overround and convert the market into no-vig probabilities and fair odds.
The calculator uses proportional normalization. Its output is a market-derived benchmark based on the odds you enter, not an independent estimate of team strength.
| Outcome | Bookie Odds | Market-Implied No-Vig Prob. | Fair Odds |
|---|---|---|---|
| Home Win | 2.10 | 45.09% | 2.218 |
| Draw | 3.40 | 27.85% | 3.590 |
| Away Win | 3.50 | 27.06% | 3.696 |
What went wrong?
How to Use the Calculator
- Enter Home odds (1), Draw odds (X), and Away odds (2). All three prices are required for a football 1X2 market.
- Results update instantly as you type — there is no Calculate button.
- Read the Bookmaker Margin (Overround), Market-Implied No-Vig Probability, and Fair Odds for each outcome.
If the three odds imply less than 100% in total, the widget stops and warns you. That usually means the prices are not one normal bookmaker market — for example, you may have mixed best prices from different sportsbooks and created an arbitrage set.
How Margin Removal Works
Decimal odds convert to raw implied probability with 1 / odds. In a normal bookmaker market, the three raw probabilities add up to more than 100%. The amount above 100% is the overround shown by this calculator as bookmaker margin.
Overround = Raw Home + Raw Draw + Raw Away − 100%
No-vig probability = Raw probability / Sum of all 3 raw probabilities
Fair odds = 1 / No-vig probability
Proportional normalization rescales all three outcomes so their exact no-vig probabilities sum to 100%. The displayed percentages are rounded to two decimals, with rounding adjusted so the three visible values also total exactly 100.00%.
What Does 1X2 Mean?
1 means Home Win, X means Draw, and 2 means Away Win. Standard football 1X2 settlement normally uses the score after 90 minutes plus stoppage time. Extra time and penalties are excluded unless the market explicitly says otherwise.
Typical 1X2 Overround Ranges
Overround varies by bookmaker, competition, liquidity and timing, but the ranges below are useful as a rough benchmark rather than a promise about any specific sportsbook.
| 1X2 overround | How to interpret it |
|---|---|
| 2–3% | Very low margin for a three-way football market. |
| 4–6% | Common retail range on many mainstream 1X2 markets. |
| 6–8% | Relatively expensive; shopping for another line can matter more. |
| 8%+ | High margin. The raw bookmaker prices are materially further from a 100% fair book. |
Lower overround does not guarantee that every individual price is correct, but it means less total bookmaker margin is embedded in the market.
Example: 4.82 / 4.21 / 1.753
These odds produce an overround of about 1.54%. Proportional devigging gives:
| Outcome | Bookie odds | No-vig probability | Fair odds |
|---|---|---|---|
| Home | 4.82 | 20.43% | 4.894 |
| Draw | 4.21 | 23.39% | 4.275 |
| Away | 1.753 | 56.18% | 1.780 |
The 56.18% Away figure is not an independent prediction that the away team will win. It is the market-implied probability after removing the entered prices’ overround with the proportional method.
Market Probability vs Match Prediction
A prediction model starts with information about the teams or match and estimates probabilities independently of bookmaker prices. This calculator starts with the prices themselves and removes the margin.
Use this page for bookmaker margin, fair odds and market-implied 1X2 probabilities. If you want a model-based football estimate from projected expected goals, use the Expected Goals (xG) Calculator.
Finding Value: Market Benchmark vs Your Own Model
Suppose the market is:
- Home 2.10
- Draw 3.60
- Away 3.40
The overround is about 4.81%. Proportional devigging gives the Home side about 45.43%, equivalent to fair odds of about 2.20.
Now suppose your own independent model estimates the Home side at 50%, equivalent to fair odds of 2.00. An available price of 2.10 is worse than the market-derived 2.20, but better than your model’s 2.00 fair price. If your 50% estimate is sound, that model disagreement is what creates the positive expected value — not the devig calculation by itself.
For related conversions, use the Draw No Bet Calculator, Double Chance Calculator, Asian Handicap Calculator, or the 2-Way No-Vig Calculator.
Why Devig Methods Can Differ
Proportional normalization is transparent and reproducible, but it is not the only way to remove bookmaker margin. Shin, Power and Additive methods distribute the overround differently, so they can produce different fair probabilities from the same 1X2 prices — especially when one outcome is a strong favourite.
This is why the calculator labels its output market-implied no-vig probability, not an objectively “true” match probability.
Frequently Asked Questions
What is a 1X2 odds calculator?
It converts Home, Draw and Away prices into implied probabilities. This calculator also removes the bookmaker overround so the no-vig probabilities total 100% and can be converted back into fair odds.
Why do bookmaker implied probabilities add up to more than 100%?
The excess above 100% is the bookmaker overround. For example, if the three raw implied probabilities total 105.6%, this calculator reports a 5.6% bookmaker margin using the overround definition.
Do the displayed fair probabilities add up to exactly 100%?
Yes. The proportional probabilities sum to exactly 100% mathematically, and the calculator uses largest-remainder rounding so the three values shown to two decimals also total 100.00%.
Is this a football prediction calculator?
No. It uses the bookmaker odds you enter. It does not analyze form, xG, injuries, lineups or team strength. Use the xG Calculator for a model-based estimate.
Can a 1X2 calculator give 100% accurate predictions?
No legitimate probability model can guarantee a football result. This tool converts odds and removes margin; it does not promise a winning prediction.
What is a good bookmaker margin for a 1X2 market?
Lower is better for the bettor. As a rough guide, 2–3% is very low, 4–6% is a common retail range, and 8% or more is expensive. Actual margins vary by bookmaker, match and market conditions.
What are fair odds or no-vig odds?
Fair odds are the decimal prices corresponding to the no-vig probability distribution after bookmaker margin has been removed. They are a market-derived benchmark, not a guarantee of the event’s real-world probability.
Why can another devig calculator show a different answer?
Different margin-removal methods make different assumptions. This calculator uses proportional normalization; Shin, Power and Additive methods can produce different fair probabilities from the same 1X2 odds.
Method note: margin is displayed as overround (sum of raw implied probabilities − 100%). The calculator uses proportional normalization to produce market-implied no-vig probabilities; it does not predict the match result.