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.
Three-way (e.g. A practical workflow keeps the math in one order. Price the market first, convert everything to probability, compare against your projection, and only then think about stake size. Reversing that order is how bettors talk themselves into action before they know whether the number is actually playable.
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.
Three-way (e.g. A practical workflow keeps the math in one order. Price the market first, convert everything to probability, compare against your projection, and only then think about stake size. Reversing that order is how bettors talk themselves into action before they know whether the number is actually playable.
For product work, keep the loop explicit: use No-Vig Calculator and Parlay EV Calculator for the math, then use No-Vig Odds Calculator Guide to audit the assumptions behind the number.
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.
For product work, keep the loop explicit: use No-Vig Calculator and Parlay EV Calculator for the math, then use No-Vig Odds Calculator Guide to audit the assumptions behind the number.
Write the inputs down before the bet: market price, fair probability, model probability, edge threshold, stake fraction, and the reason the number could be wrong. That small audit trail makes it much easier to separate a good losing bet from a bad winning one.
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 EV work. Clean inputs first, sharp teeth second.
Write the inputs down before the bet: market price, fair probability, model probability, edge threshold, stake fraction, and the reason the number could be wrong. That small audit trail makes it much easier to separate a good losing bet from a bad winning one.
Which tools and guides support 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.