No-vig odds: finding the fair line

Strip the fee out of a two-sided market and what is left is the book's honest opinion. That number is the yardstick for everything that follows.

Every price you see has a fee inside it. Take the fee out and what is left is the market's actual opinion — the no-vig line, also called the fair line or true price. It is the single most useful number in betting, because every judgement about whether a bet is good is a comparison against it.

The method

For a two-sided market it is three steps, and you can do them in your head with practice.

  1. Convert both prices to implied probabilities.
  2. Add them together. The total will be above 100%.
  3. Divide each one by that total.

De-vigging a real market

  1. Home -140, Away +120.
  2. Implied: home 140 ÷ 240 = 58.33%, away 100 ÷ 220 = 45.45%.
  3. Total: 103.78% — so the book holds 3.64%.
  4. Fair home: 58.33 ÷ 103.78 = 56.21% → about -128.
  5. Fair away: 45.45 ÷ 103.78 = 43.79% → about +128.

The market's honest view is 56.2% / 43.8%. Anything better than +128 on the away side is a price above fair.

Which book you de-vig matters enormously

De-vigging a bad price gives you a fair version of a bad price. The technique does not launder a weak opinion into a strong one.

The convention is to de-vig a sharp book — one that takes large bets and prices tightly — and treat that as the fair number. Its price has been tested by people betting real money into it. A recreational book's number has been tested by nobody, and its de-vigged line is worth much less.

A consensus line built from several books, each de-vigged first, is steadier than any single one. That is what VigWatch prints beside every market on the board.

There is no single correct method

The division above is the multiplicative method: everyone pays the fee in proportion to their price. It is simple, it is what most tools use, and it has a known flaw — real sportsbooks charge longshots proportionally more than favourites, so on a lopsided market the multiplicative method slightly overprices the longshot.

The same lopsided market, de-vigged two ways
MethodHow it removes the feeWeakness
MultiplicativeDivide each side by the totalUnderrates the favourite on lopsided markets
AdditiveSubtract the excess equally from each sideCan drive a longshot below zero and break
Power / ShinFit a curve that charges longshots moreMore accurate, not something you do in your head

On a -110 / -110 market all three agree exactly. They only diverge as the market gets lopsided, and by then the honest answer to "what is the fair price?" is: it depends which method you chose. Anyone who presents one number with no method attached is hiding a decision from you.

Do not de-vig the book you are betting

If you de-vig a book's own price and then compare that book's price against it, you have compared a number with itself. You will find a small negative edge equal to the fee, every time, on every bet. The fair line has to come from somewhere other than the price you are judging.

What you can do with it

VigWatch prints a de-vigged consensus line beside every market on the board. See the no-vig consensus.

Terms in this lesson