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Betting Odds Explained: American, Decimal, Fractional, and Implied Probability

8 min read April 25, 2025By TheCalcUniverse Editorial

American, Decimal, Fractional — three ways to say the same thing. Here is how to read any odds format, convert between them, and calculate the true probability behind the number.


If you've ever stared at '+200' or '7/2' on a sportsbook screen and felt your brain short-circuit, you're not alone. Betting odds come in three different formats depending on where you live, but they all tell you the same two things: your potential payout and the implied probability of an outcome.

The Three Odds Formats at a Glance

FormatExampleWhat It MeansWhere It Is Used
American (positive)+200Win $200 profit on a $100 betUS, Canada
American (negative)-150Bet $150 to win $100 profitUS, Canada
Decimal3.00Multiply your stake by 3.00 for total returnEurope, Australia, Canada
Fractional2/1Win $2 for every $1 stakedUK, Ireland

How to Convert Between Formats

The math is straightforward once you know the rules. For American odds, positive numbers convert to decimal with `(odds / 100) + 1` — so **+200 becomes 3. 00**.

Negative odds use `(100 / |odds|) + 1` — so **-150 becomes 1. 667**. Fractional odds are just the decimal minus 1 expressed as a fraction: 3.

00 minus 1 is 2/1. An odds converter handles all three instantly, but learning the relationship helps you spot mispriced lines faster when shopping across sportsbooks.

What Is Implied Probability?

Implied probability is the percentage chance the odds represent. The formula is dead simple: `1 / decimal odds x 100`. Odds of **3.

00 imply a 33. 3% chance**. Odds of **1.

50 imply a 66. 7% chance**. This is the single most useful number for a bettor because it lets you ask the key question: 'Do I think the actual probability is higher or lower than what the odds say?

' If you believe an outcome has a 40% chance but the odds only imply 33. 3%, you've found a value bet.

Remember: implied probabilities from a bookmaker always add up to more than 100%. That extra percentage is the vig (vigorish), also called the overround. In a fair market, two equally likely outcomes would each be at +100 (50% implied probability each). In reality, you'll see both sides at -110, which works out to 52.4% each for a total of 104.8%. That 4.8% is the bookmaker's built-in profit.

Understanding the Vig and Why It Matters

Convert Odds Instantly

Use TheCalcUniverse Betting Odds Converter to switch between American, Decimal, and Fractional formats, see implied probability, and calculate your payout for any stake.

Written by

TheCalcUniverse Editorial

Content Team

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