Implied probability: what the odds really say
Every betting price implies a chance of winning. Converting odds to a percentage shows what the sportsbook thinks, plus its margin, and lets you compare it with your own estimate.
Reviewed Oct 15, 2026
Answer first
90s- 01Negative American odds: probability = odds ÷ (odds + 100), using the number without the minus.
- 02Positive American odds: probability = 100 ÷ (odds + 100).
- 03Both sides of a market add up to more than 100%; the extra is the vig.
Key numbers
Implied probability in four numbers
In short
Key takeaways
- A bet has value only if its real chance beats the implied chance.
- Remove the vig to see the book’s fair estimate.
- Decimal odds convert easily: 1 ÷ decimal odds.
- Small differences in price add up over many bets.
At the door
Odds to probability
Gate pass
21+
-300
300 ÷ 400
-150
150 ÷ 250
-110
110 ÷ 210
+120
100 ÷ 220
+400
100 ÷ 500
Rounded to one decimal.
Same price in three formats
| American | Decimal | Fractional | Implied |
|---|---|---|---|
| -200 | 1.50 | 1/2 | 66.7% |
| -110 | 1.91 | 10/11 | 52.4% |
| +100 | 2.00 | 1/1 | 50.0% |
| +150 | 2.50 | 3/2 | 40.0% |
| +300 | 4.00 | 3/1 | 25.0% |
All three formats show the same chance.
How to convert
For -150, divide 150 by 250 to get 60%. For +150, divide 100 by 250 to get 40%. For decimal odds of 2.50, divide 1 by 2.50 to get 40%.
Most betting apps show American odds in the US, but many let you switch formats in settings.
A phone calculator is enough; no special tools are needed.
Removing the vig (two-way market)
| Side | Price | Implied | No-vig |
|---|---|---|---|
| Team A | -130 | 56.5% | 54.3% |
| Team B | +110 | 47.6% | 45.7% |
| Total | — | 104.1% | 100% |
Divide each implied chance by the total to remove the margin.
What the vig does
Add both sides of a market and the total is more than 100%. At -110 on both sides, the total is about 104.8%. That extra is the book’s margin.
Dividing each side by the total gives fair, no-vig chances, which is how many bettors judge a line.
Sequence
Checking a bet for value
Step 01
Convert the odds
Get the implied chance.
Step 02
Remove the vig
Use both sides.
Step 03
Make your estimate
Your own chance.
Step 04
Compare
Yours must be higher.
Step 05
Shop prices
Better odds lower the bar.
Why it matters
A bettor who wins 55% of bets at -110 profits over time, because 55% beats the 52.4% break-even. At -120, the same bettor needs 54.5%, so the edge shrinks.
Small price differences matter more than most new bettors expect.
That is why bettors compare books before every wager.
Floor rules
Probability terms
Know before you sit
- Implied probability
- Chance shown by the odds.
- Vig
- The book’s margin.
- No-vig odds
- Fair odds after removing margin.
- Break-even
- Win rate needed to profit.
Three-way markets
Soccer and some other markets have three outcomes: home, draw and away. Add all three implied chances to find the margin, which is often larger than on two-way markets.
The same no-vig method works: divide each by the total.
Break-even by price
| Price | Break-even win rate |
|---|---|
| -105 | 51.2% |
| -110 | 52.4% |
| -115 | 53.5% |
| -120 | 54.5% |
Lower juice lowers the bar.
Futures and long odds
Futures markets often add up to 120% to 150% across all teams, because each team carries some margin. That makes long-odds futures expensive.
Compare futures prices across books; differences are often large.
Common mistakes
- Treating odds as certainty
- They are estimates.
- Ignoring the vig
- Both sides exceed 100%.
- Comparing across formats wrongly
- Convert first.
- Betting without an estimate
- Know your number.
Keep reading
Related pages
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01Basics
What is implied probability?
The chance of winning that a price suggests, including the book’s margin. Rules differ between licensed sportsbooks, so read the house rules.
How do I convert -110?
Divide 110 by 210, which is about 52.4%. Rules differ between licensed sportsbooks, so read the house rules.
How do I convert +200?
Divide 100 by 300, which is about 33.3%. Rules differ between licensed sportsbooks, so read the house rules.
02Vig
Why do both sides add up to more than 100%?
The extra is the sportsbook’s margin, called the vig. Rules differ between licensed sportsbooks, so read the house rules.
How do I remove the vig?
Divide each side’s implied chance by the total of both. Rules differ between licensed sportsbooks, so read the house rules.
What is a no-vig line?
The fair price with the margin removed. Rules differ between licensed sportsbooks, so read the house rules.
03Using it
When is a bet good value?
When your estimated chance is higher than the implied chance. Rules differ between licensed sportsbooks, so read the house rules.
Does it work for parlays?
Yes. Multiply the chances of each leg together. Rules differ between licensed sportsbooks, so read the house rules.
Do books show probabilities?
Some apps can show odds in decimal or percent formats. Rules differ between licensed sportsbooks, so read the house rules.
Sources
- Wizard of Odds — Sports betting Not from a registry (Reference source, not an official registry)The gaming industry’s standard reference for casino-game math, by actuary Michael Shackleford. Not an official registry; our calculators compute these numbers independently. · accessed Oct 15, 2026Odds and margins
- American Gaming Association — Sports betting Not from a registry (Reference source, not an official registry) · accessed Oct 15, 2026US legal sports betting data
- New Jersey Division of Gaming Enforcement · accessed Oct 15, 2026Gaming and sports wagering rules
- National Council on Problem Gambling — Help and resources Not from a registry (Reference source, not an official registry) · accessed Oct 15, 2026Free, confidential help: call or text 1-800-GAMBLER