Guide · Positive-EV betting
Implied probability and no-vig odds, explained
How to turn betting odds into implied probabilities, measure the sportsbook's margin, and remove it to estimate fair (no-vig) odds.
Reviewed by Owen DavidsUpdated Oct 28, 2026Facts checked Oct 28, 2026
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Every betting price implies a probability. Add up a sportsbook's implied probabilities for every outcome of a market and you'll get more than 100%. The excess is the sportsbook's margin, often called the vig or juice. Strip it out and you get no-vig (fair) probabilities: the sportsbook's best estimate of what will happen, before its cut.
From odds to implied probability
| Odds format | Implied probability | Example |
|---|---|---|
| Decimal | 1 ÷ odds | 2.50 → 40.00% |
| American, positive | 100 ÷ (odds + 100) | +150 → 40.00% |
| American, negative | −odds ÷ (−odds + 100) | -150 → 60.00% |
The odds converter does these conversions for you.
Measuring the margin
Take a common market where both sides are priced -110:
- Each side implies 110 ÷ 210 = 52.38%.
- Together: 104.76%. The overround is the 4.76% above 100%.
- The sportsbook's theoretical hold (its expected share of money wagered, if action is balanced) is 1 − 1 ÷ 1.0476 = 4.55%.
Overround and hold describe the same margin in different ways, so check which one a source means.
Removing the vig
The simplest method, and the one most calculators use, is proportional normalization: divide each implied probability by their total.
Example: Team A -150, Team B +130.
| Team A | Team B | Total | |
|---|---|---|---|
| Implied probability | 60.00% | 43.48% | 103.48% |
| No-vig probability | 57.98% | 42.02% | 100.00% |
| Fair American odds | -138 | +138 |
The sportsbook's own estimate, without its margin, is roughly 58/42. Try it with the no-vig calculator.
Why the method matters
Proportional normalization assumes the margin is spread in proportion to each side's probability. That's an assumption, not a fact about how sportsbooks price. Many researchers use it because it's simple, but it isn't the only option: Shin's procedure, for example, models a bookmaker setting prices against a mix of ordinary bettors and better-informed "insiders," and there's an open debate about which method to use.[1]
For everyday two-way markets priced near even, the methods give similar answers. They diverge more for heavy favourites, longshots and markets with many outcomes.
Which market to de-vig
No-vig odds are only as good as the market they come from. A sportsbook with low limits that adjusts slowly can be consistently off; de-vigging its prices just gives you a precise version of a poor estimate. Positive-EV bettors usually de-vig a market they consider sharper (higher limits, quick to move) and compare other sportsbooks' prices against it. See What is positive expected value (+EV) betting?.
Sources
- 1.Combining historical data and bookmakers' odds in modelling football scores, Egidi, Pauli & Torelli, arXiv:1802.08848 (2018)Independent research · accessed Oct 28, 2026
About this page
- Editorial review
- Approved by Owen Davids on Oct 28, 2026
- AI assistance
- Drafted with AI assistance. Facts, sources and conclusions were checked by a human editor before publication.
- Facts last checked
- Oct 28, 2026
How we research and label evidence: our methodology.
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