Betting MathMarch 26, 20269 min read

De-Vig Calculator: How to Strip the Margin From Any Betting Line

De-vig calculator removes sportsbook margin in 3 steps. 7 methods compared with worked examples, plus when each one gives you the most accurate true odds.

What a de-vig calculator does and why you need one

Every sportsbook line includes a built-in tax called the vig. A -110/-110 market implies 52.38% probability on each side. Add those up: 104.76%. Real probabilities sum to 100%. The extra 4.76% is the sportsbook's margin.

A de-vig calculator (also called a no-vig calculator, vig-free calculator, or fair odds calculator) removes that margin. It takes the odds from both sides of a market and outputs the true implied probability underneath. That true probability is the number you need for every downstream calculation: expected value, Kelly sizing, closing line value.

Without de-vigging first, you are comparing your probability estimate against a biased number. You will overestimate your edge on favorites and underestimate it on longshots. The de-vig calculator handles all 7 methods described below and works for markets with 2 to 20+ outcomes.

De-vig to bet sizing pipeline
Step 1Input odds from both sides
Step 2Calculator removes the vig
Step 3Get true probability for each side
Step 4Compare to your own estimate
Step 5Calculate EV on any difference
Step 6Size with Kelly if +EV

The 3-step de-vig process

De-vigging follows the same structure regardless of which method you use. The steps are mechanical. The only variable is how Step 3 distributes the margin removal.

Step 1: Convert odds to implied probability

Use the standard American odds formulas. (The odds converter handles this for any format.)

  • Negative odds: |odds| / (|odds| + 100)
  • Positive odds: 100 / (odds + 100)

Step 2: Calculate the book sum

Add up the implied probabilities for all outcomes. The total will exceed 100%. The excess is the overround, and the hold calculator converts it into the hold percentage.

Step 3: Remove the overround

This is where the 7 methods diverge. Each one makes different assumptions about how the sportsbook distributes its margin across the outcomes.

Worked example: NFL moneyline at -200/+170

Step 1: Convert.

  • -200: 200 / 300 = 66.67%
  • +170: 100 / 270 = 37.04%

Step 2: Book sum. 66.67% + 37.04% = 103.71%

Overround: 3.71%. The hold is 1 - (1 / 1.0371) = 3.57%.

Step 3 (multiplicative method):

  • Favorite true probability: 66.67% / 1.0371 = 64.28%
  • Underdog true probability: 37.04% / 1.0371 = 35.72%

Sum: 100.00%. The vig has been stripped. The sportsbook was pricing the favorite at 66.67% implied, but the de-vigged line says the market's true estimate is 64.28%. That 2.39 percentage point gap was entirely vig.

7 de-vig methods compared

Not all methods give the same result. For tight, two-way markets like NFL spreads, the differences are small (often less than 0.5%). For multi-way markets with heavy longshots, the method matters significantly.

MethodBest ForAssumption
MultiplicativeTwo-way marketsVig is proportional to probability
AdditiveQuick estimatesEqual vig on each side
ShinLongshot marketsMore vig on longshots (insider trading model)
PowerMulti-outcomeProbability is raised to a power factor
LogarithmicMulti-outcomeLog-proportional vig distribution
Worst-caseConservative EVMaximum possible vig assigned to your side
Margin-weightedBalanced marketsVig proportional to margin contribution

Multiplicative: the default choice

Divides each implied probability by the book sum. Simple, fast, accurate for two-way markets.

When to use it: NFL spreads, NBA totals, any market with two roughly equal sides. This is the right default for 80% of bets.

Shin method: the longshot correction

The Shin model assumes sportsbooks charge more vig on longshots because those lines are where informed bettors are least likely to trade. A 50-1 longshot carries proportionally more margin than the 1-2 favorite.

Worked example: horse racing market.

Three runners priced at -250, +300, +800.

Implied probabilities: 71.43%, 25.00%, 11.11%. Book sum: 107.54%.

MethodFavoriteSecondLongshot
Multiplicative66.42%23.25%10.33%
Shin67.10%23.45%9.45%

The Shin method assigns more vig to the +800 longshot (reducing its true probability from 10.33% to 9.45%) and less to the favorite. In practice, this matches how sportsbooks actually set their lines. If you are betting the longshot, the Shin estimate gives you a more accurate baseline for calculating EV.

Power method: the mathematical middle ground

The power method finds a constant k such that raising each implied probability to the power k produces a set summing to 100%. It naturally assigns more vig to extreme probabilities without the specific insider-trading assumptions of the Shin model.

When to use it: Multi-outcome markets with 3+ runners. Horse racing, futures, award markets.

Worst-case: the conservative filter

Assigns the maximum possible vig to whichever side you are betting. If the book sum is 104%, worst-case assumes your side carries all 4% of the overround. This gives you the lowest possible true probability for your side, meaning any edge you calculate is a conservative floor.

When to use it: When you want to stress-test whether a bet is still +EV under the most pessimistic de-vig assumption. If a bet shows positive expected value even under worst-case de-vig, it is a strong play.

When the method matters (and when it does not)

For a -110/-110 market (book sum 104.76%), all 7 methods produce true probabilities between 49.8% and 50.2%. The difference is irrelevant. You will not make or lose money based on which de-vig method you choose for a standard NFL spread.

The method starts to matter when:

The market is lopsided. A -500/+380 line has a book sum around 108%. The multiplicative method puts the favorite at 78.7%. Shin puts it at 79.4%. That 0.7% gap changes whether a +400 line at another book is +EV or not.

The market has 3+ outcomes. A 10-runner horse race with a 120% book sum produces wildly different de-vigged probabilities depending on the method. The longshot might range from 2.1% (Shin) to 3.8% (multiplicative). At +4000 odds, that difference is the entire edge.

You are comparing across books. If you use multiplicative de-vig on one book and Shin on another, your cross-platform arbitrage calculations will be inconsistent. Pick one method and use it everywhere.

The de-vig calculator runs all 7 methods simultaneously so you can see the range. For most bettors, the multiplicative method is the right default. Switch to Shin or power when the book sum exceeds 110% or the market has 3+ outcomes.

De-vigging prediction market prices

Prediction markets like Kalshi and Polymarket use order books instead of fixed odds. The de-vig concept applies identically: if Yes trades at $0.58 and No trades at $0.47, the combined price is $1.05. The overround is 5%.

The multiplicative de-vig gives:

  • True Yes probability: 58% / 105% = 55.24%
  • True No probability: 47% / 105% = 44.76%

But prediction markets add another layer. Kalshi charges 7% on profits. Polymarket's vig lives entirely in the spread. You need to de-vig the market price AND account for platform fees to find your true breakeven.

The prediction market fee calculator handles both layers. First de-vig the spread, then subtract the fee impact. The number that comes out is your true cost basis for expected value calculations.

Common de-vig mistakes

Mistake 1: Using implied probability as true probability. This is the most common error. If a line is -150, the implied probability is 60%. But the true probability (after removing vig) might be 57.5%. Betting as if the true probability is 60% means you are systematically overvaluing favorites. Every EV calculation downstream will be wrong.

Mistake 2: De-vigging one side only. Some bettors strip the vig from the side they want to bet and ignore the other side. De-vigging requires both sides (or all sides in a multi-outcome market). You cannot calculate the book sum from one number.

Mistake 3: Using the wrong method for longshot markets. Multiplicative de-vig on a 20-runner horse race with a 140% book sum will produce meaningfully different probabilities than Shin. If you are betting longshots in multi-runner fields, the method selection changes your edge calculation by multiple percentage points.

Mistake 4: Forgetting to de-vig before comparing lines. Line shopping without de-vigging is comparing apples to oranges. Book A at -108 and Book B at -112 on the same side look different, but they might imply the same true probability if Book B has a tighter overall market. De-vig both books, then compare the true probabilities.

De-vig as the foundation of every edge

De-vigging is not an isolated calculation. It is the first step in a pipeline that determines every betting decision.

Step 1: De-vig to find the market's true probability estimate. Use the de-vig calculator.

Step 2: Compare your estimated probability against the de-vigged line. If you think the true probability is 55% and the de-vigged line says 50%, you have a 5% edge.

Step 3: Calculate EV using that edge and the available odds. The EV calculator turns edge into dollars.

Step 4: Size the bet with the Kelly Criterion. Full Kelly is aggressive. Most sharps use quarter or half Kelly.

Step 5: Track closing line value to verify that your edges are real over time. If you consistently beat the closing line after de-vigging, your probability estimates are better than the market's.

Skip de-vigging and the entire pipeline breaks. Your EV calculations are inflated, your Kelly sizing is too aggressive, and your CLV tracking compares against the wrong benchmark. The de-vig calculator takes 10 seconds. Use it on every line before you calculate anything else.

Frequently asked questions

What is a de-vig calculator?
A de-vig calculator removes the sportsbook's built-in margin (vig) from betting odds to reveal the true implied probability. It converts biased odds into fair odds that sum to exactly 100%.
What is the best de-vig method?
For two-way markets (spreads, totals, moneylines), the multiplicative method is accurate and simple. For multi-outcome markets with longshots (horse racing, futures), the Shin or power method produces more accurate results by accounting for favorite-longshot bias.
Why do I need to de-vig before calculating EV?
Implied probability includes the sportsbook's margin, which inflates the probability of every outcome. Without removing it, your EV calculation compares your estimate against a biased number, causing you to overestimate edge on favorites and underestimate it on longshots.
Do prediction markets have vig?
Yes. On order-book platforms like Kalshi and Polymarket, vig appears as the bid-ask spread. If Yes and No prices sum to more than $1.00, the excess is vig. Some platforms also charge explicit fees on top of the spread.
How much difference does the de-vig method make?
For standard -110/-110 markets, less than 0.5%. For lopsided markets or multi-runner fields with 110%+ book sums, the method can shift true probabilities by 1-3 percentage points, which is enough to flip an EV calculation from positive to negative.