What is a three-way betting market?
A three-way market has three possible outcomes. Soccer home-draw-away is the classic example, but regulation markets in hockey can work the same way.
Because there are three outcomes instead of two, you cannot devig it like a standard spread or total. All three prices contribute to the sportsbook hold.
How do you convert the odds first?
Start by turning each listed price into an implied probability. For American odds, negative prices convert as odds divided by odds plus 100, using the absolute value. Positive prices convert as 100 divided by odds plus 100.
Do that for all three outcomes. The total will usually be above 100%, and that excess is the hold. The book did not forget math. It charged rent.
How do you remove the vig?
Add the three implied probabilities together. Then divide each individual implied probability by that total.
For example, if the three implied probabilities sum to 106%, divide each by 1.06. The normalized probabilities now add to 100%, giving you the no-vig estimate for each outcome.
Why use an N-way no-vig calculator?
An N-way calculator handles markets with more than two outcomes cleanly. That matters because forcing a three-way market into a two-way workflow creates bad probabilities.
Once the fair probabilities are normalized, you can compare them to your model or use them as inputs for broader expected value work. Clean inputs first, sharp teeth second.
How does no-vig math work when a market has three outcomes?
A three-way no-vig calculation uses the same logic as a two-way market, but every possible outcome must be included. Common examples include soccer home/draw/away markets and regulation-only hockey or soccer markets. The goal is to remove the sportsbook hold so the remaining probabilities add to exactly 100%.
The process is mechanical. Convert the posted odds for all three outcomes into implied probabilities. Add those implied probabilities together. Because the market includes vig, the total will usually be greater than 100%. Then divide each individual implied probability by the total market probability. The result is each outcome's no-vig probability.
For example, if the home side, draw, and away side imply 45%, 30%, and 30%, the total is 105%. The no-vig home probability is 45 divided by 105, the no-vig draw probability is 30 divided by 105, and the no-vig away probability is 30 divided by 105. Those normalized probabilities are the market's fair baseline before any model opinion is applied.
This matters because three-way markets can hide margin differently than two-way markets. A draw price may carry meaningful hold, and comparing only one side in isolation can misstate the true market view. Every outcome contributes to the overround, so every outcome must be part of the devig.
Once the no-vig probabilities are known, they can be compared with a model's outcome probabilities. The edge is the model probability minus the no-vig market probability for the specific outcome. If the difference is small, variance and execution costs can overwhelm it. If the difference is meaningful and the model is calibrated, the no-vig number gives a clean baseline for sizing and review.
Which tools and guides support this answer?
Which free desk tools are referenced?
Which guides expand this answer?
What else should bettors know?
Can I devig only the side I want to bet?
No. In a three-way market, every outcome affects the hold, so all three prices must be included before normalizing.
What does it mean if the probabilities add to 108%?
It means the book's implied market includes an 8% hold before adjustment. No-vig normalization scales the three outcomes back to 100%.
Do three-way markets have pushes?
Usually no. A three-way market prices every listed outcome separately, such as home, draw, and away, so the draw is not a push.