WEEK 10
Pro Members Sign inStart freeTry seven days on usSeven days on us
CPPRICEDESK

CP Price Desk

The math in every price, on the board.

No-vig fair line

Strip the book's margin from a two-way or three-way price and see the fair chance and fair odds. Free, no sign-in, 21+.

Enter both sides

On the board
Market
Three-way markets only.
American (+150, -110), decimal (2.50) or fractional (3/2).
Odds format

Turn on JavaScript to calculate.

A calculator shows the math in a price. It does not pick for you.

How it works

  1. Implied chances

    Each price becomes 1 divided by its decimal odds. What the sides add to over 100% is the overround.

  2. Remove the margin

    Each fair chance is that side’s implied chance divided by the sum; fair odds are 1 divided by the fair chance.

  3. The hold

    1 - 1/sum: the book’s share of the money if bets are balanced.

The formulafair chance = implied chance ÷ sum of implied chances
Worked example
  • -150 / +130 → implied 60.0% and 43.5% (sum 103.5%)
  • Fair 58.0% and 42.0%
  • Fair odds -138 / +138 · overround 3.5%, hold 3.4%

The power method finds k with Σ pik = 1 and uses pik; it moves favorites slightly more (on -150 / +130 it gives the favorite 58.4%). The page shows the multiplicative result because it is the one most people compare against. The same price both sides (-110 / -110) gives 50/50 and a 4.5% hold. If the prices add to less than 100%, the page says “These prices add to less than 100%. Check the numbers.” and still computes.

Common questions

What is the vig?

The margin built into both sides of a line so they add to more than 100%.

Which method do you use?

Multiplicative: each implied chance divided by their sum; the power method is explained below.

Is the fair chance the true chance?

No. It is the market's chance with the margin removed. Our cards state our own chance separately.

A CenterPointSports research tool