01
The Three Odds Formats and How to Convert Between Them
Sportsbooks display odds in different formats depending on region and platform. American odds show +150 (bet 100 to win 150, plus your stake back = 250 total) or β200 (bet 200 to win 100, plus stake back = 300 total). Decimal odds, common in Europe, show your total return multiple including stake (e.g. 2.50 means a $1 bet returns $2.50). Fractional odds, used in the UK, show 3/2 meaning "bet 2 to win 3." Conversion formulas: positive American β Decimal = (American/100)+1; negative American β Decimal = (100/|American|)+1; Decimal β Fraction = reduce (Decimalβ1) to lowest terms; Decimal β Implied probability = (1/Decimal)Γ100. For example, American +150 converts to Decimal (150/100)+1 = 2.50, Fractional 3/2, and implied probability (1/2.50)Γ100 = 40%.
| American | Decimal | Fractional | Implied Prob. |
|---|---|---|---|
| +150 | 2.50 | 3/2 | 40.0% |
| -200 | 1.50 | 1/2 | 66.7% |