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Decimal odds (European odds) represent the total return per unit staked, including the original stake. A decimal odd of 2.50 means a \$1 bet returns \$2.50 total (\$1.50 profit plus \$1 stake). This is the most intuitive odds format, used predominantly in Europe, Australia, and by most online bookmakers. Decimal odds are simply calculated as 1 divided by implied probability.
Decimal Odds
Decimal odds are the cleanest, most intuitive way to express betting odds. The number simply tells you how much you get back for every dollar staked—including your original stake. Odds of 2.50 mean $2.50 back for every $1 bet. No complex fractions, no positive/negative confusion. Just multiply your stake by the decimal odds to know your potential return. This simplicity is why decimal odds dominate online betting worldwide and are the standard format for professional bettors.
Table of Contents
- Understanding Decimal Odds
- Calculating Returns
- Converting Odds Formats
- Implied Probability
- Decimal Odds by Sport
- Using Decimal Odds
Understanding Decimal Odds {#understanding}
Decimal odds represent total return per unit staked. The number includes both your potential profit AND your original stake back.
The Simple Formula
Quick Examples
| Odds | $100 Stake | Total Return | Profit |
|---|---|---|---|
| 1.50 | $100 | $150 | $50 |
| 2.00 | $100 | $200 | $100 |
| 2.50 | $100 | $250 | $150 |
| 3.00 | $100 | $300 | $200 |
| 5.00 | $100 | $500 | $400 |
| 10.00 | $100 | $1,000 | $900 |
Reading Decimal Odds
| Odds Range | What It Means |
|---|---|
| 1.01 - 1.50 | Heavy favorite |
| 1.51 - 2.00 | Favorite |
| 2.00 | Even money (50/50) |
| 2.01 - 3.00 | Slight underdog |
| 3.01 - 5.00 | Moderate underdog |
| 5.01 - 10.00 | Longshot |
| 10.00+ | Extreme longshot |
Calculating Returns {#calculation}
Single Bet Return
Example:
- Stake: $50
- Odds: 2.40
Return = $50 × 2.40 = $120 Profit = $120 - $50 = $70
Multiple Selections (Accumulator)
Example: Three-leg parlay
| Selection | Odds |
|---|---|
| Liverpool | 1.80 |
| Man City | 1.60 |
| Arsenal | 2.10 |
Combined = 1.80 × 1.60 × 2.10 = 6.05
$20 stake returns $20 × 6.05 = $121
Each-Way Calculations
For each-way bets, calculate win and place separately:
Converting Odds Formats {#conversion}
Decimal to Fractional
| Decimal | Calculation | Fractional |
|---|---|---|
| 1.50 | (1.50 - 1) / 1 | 1/2 |
| 2.00 | (2.00 - 1) / 1 | 1/1 (evens) |
| 2.50 | (2.50 - 1) / 1 | 3/2 |
| 3.00 | (3.00 - 1) / 1 | 2/1 |
| 4.00 | (4.00 - 1) / 1 | 3/1 |
Decimal to American
For decimal ≥ 2.00:
For decimal < 2.00:
| Decimal | American |
|---|---|
| 1.50 | -200 |
| 1.80 | -125 |
| 2.00 | +100 |
| 2.50 | +150 |
| 3.00 | +200 |
| 5.00 | +400 |
Complete Conversion Table
| Decimal | Fractional | American | Implied Prob |
|---|---|---|---|
| 1.20 | 1/5 | -500 | 83.3% |
| 1.33 | 1/3 | -300 | 75.2% |
| 1.50 | 1/2 | -200 | 66.7% |
| 1.67 | 4/6 | -150 | 59.9% |
| 1.80 | 4/5 | -125 | 55.6% |
| 1.91 | 10/11 | -110 | 52.4% |
| 2.00 | 1/1 | +100 | 50.0% |
| 2.10 | 11/10 | +110 | 47.6% |
| 2.50 | 3/2 | +150 | 40.0% |
| 3.00 | 2/1 | +200 | 33.3% |
| 4.00 | 3/1 | +300 | 25.0% |
| 5.00 | 4/1 | +400 | 20.0% |
| 10.00 | 9/1 | +900 | 10.0% |
Implied Probability {#probability}
Converting Odds to Probability
| Decimal Odds | Implied Probability |
|---|---|
| 1.50 | 66.7% |
| 2.00 | 50.0% |
| 2.50 | 40.0% |
| 3.00 | 33.3% |
| 4.00 | 25.0% |
| 5.00 | 20.0% |
Converting Probability to Odds
| Probability | Decimal Odds |
|---|---|
| 80% | 1.25 |
| 60% | 1.67 |
| 50% | 2.00 |
| 40% | 2.50 |
| 25% | 4.00 |
| 10% | 10.00 |
Bookmaker Margin in Decimal Odds
True probabilities sum to 100%. Bookmaker implied probabilities exceed 100%.
Example: Football Match
| Selection | Decimal Odds | Implied Prob |
|---|---|---|
| Home | 2.40 | 41.7% |
| Draw | 3.30 | 30.3% |
| Away | 2.90 | 34.5% |
| Total | 106.5% |
Decimal Odds by Sport {#by-sport}
Football (Soccer)
| Market | Typical Range |
|---|---|
| Match winner | 1.30 - 4.00 |
| Over/Under 2.5 | 1.70 - 2.20 |
| Both Teams to Score | 1.60 - 2.30 |
| Correct Score | 6.00 - 100.00 |
| First Goalscorer | 4.00 - 20.00 |
Tennis
| Market | Typical Range |
|---|---|
| Match winner (close) | 1.60 - 2.40 |
| Match winner (mismatch) | 1.05 - 10.00 |
| Set winner | 1.30 - 3.50 |
| Total games | 1.80 - 2.00 |
Basketball
| Market | Typical Range |
|---|---|
| Moneyline (NBA) | 1.30 - 3.50 |
| Spread (-5.5) | 1.90 - 1.95 |
| Total points | 1.90 - 1.95 |
| Quarter winner | 1.50 - 2.60 |
Horse Racing
| Market | Typical Range |
|---|---|
| Favorite | 1.50 - 3.00 |
| Second favorite | 3.00 - 6.00 |
| Mid-range | 6.00 - 15.00 |
| Outsider | 15.00 - 100.00+ |
Using Decimal Odds {#using}
Comparing Value
Decimal odds make comparison instant:
Which is better value?
- Book A: Team X at 2.45
- Book B: Team X at 2.50
- Book C: Team X at 2.38
Obviously 2.50—no calculation needed.
Finding Value Bets
Example:
- Your estimated probability: 45%
- Bookmaker decimal odds: 2.40
Value = (0.45 × 2.40) - 1 = 1.08 - 1 = +8% (positive value = good bet)
Expected Value Calculation
Or simplified with decimal odds:
Example: 50% probability, 2.20 odds, $100 stake
EV = (0.50 × 2.20 × $100) - $100 = $110 - $100 = +$10
Quick Mental Math
Decimal 2.50:
- $10 bet = $25 return
- Just multiply by 2.5
Decimal 3.00:
- $10 bet = $30 return
- Just multiply by 3
Decimal 1.50:
- $100 bet = $150 return
- Add half
Related Calculators
Convert and analyze decimal odds:
Odds Converter - Convert between formatsImplied Probability Calculator - Find true probabilitiesMargin Calculator - Calculate bookmaker edge
Frequently Asked Questions
Evgeniy Volkov
Fullstack developer with a background in mathematics. I build the calculators and game-style tools on ToolsGambling with Pixi.js and modern web tech, and every result uses transparent probability formulas you can verify yourself.
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