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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
  1. 01Negative American odds: probability = odds ÷ (odds + 100), using the number without the minus.
  2. 02Positive American odds: probability = 100 ÷ (odds + 100).
  3. 03Both sides of a market add up to more than 100%; the extra is the vig.

Key numbers

Implied probability in four numbers

52.4%At -110Common spread price
40%At +150Underdog example
66.7%At -200Favorite example
About 4.5%Vig at -110/-110Both sides

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+

  1. -300

    300 ÷ 400

  2. -150

    150 ÷ 250

  3. -110

    110 ÷ 210

  4. +120

    100 ÷ 220

  5. +400

    100 ÷ 500

Rounded to one decimal.

Same price in three formats

AmericanDecimalFractionalImplied
-2001.501/266.7%
-1101.9110/1152.4%
+1002.001/150.0%
+1502.503/240.0%
+3004.003/125.0%

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)

SidePriceImpliedNo-vig
Team A-13056.5%54.3%
Team B+11047.6%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

  1. Step 01

    Convert the odds

    Get the implied chance.

  2. Step 02

    Remove the vig

    Use both sides.

  3. Step 03

    Make your estimate

    Your own chance.

  4. Step 04

    Compare

    Yours must be higher.

  5. 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

PriceBreak-even win rate
-10551.2%
-11052.4%
-11553.5%
-12054.5%

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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After the 90 seconds

Questions before and after you play

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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

  1. Wizard of Odds — Sports betting Not from a registry (Reference source, not an official registry) · accessed Oct 15, 2026Odds and margins
  2. American Gaming Association — Sports betting Not from a registry (Reference source, not an official registry) · accessed Oct 15, 2026US legal sports betting data
  3. New Jersey Division of Gaming Enforcement · accessed Oct 15, 2026Gaming and sports wagering rules
  4. 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