Odds Calculator & Converter
Convert between decimal, fractional, and American odds formats, and calculate implied probabilities with this easy-to-use odds calculator.
Calculate Your Odds Calculator & Converter
Enter odds in decimal format (e.g., 2.50)
These odds suggest a 50.00% chance of the event occurring
Conversion Formulas:
Understanding Different Odds Formats
Betting odds are expressed in several formats around the world, with decimal, fractional, and American (moneyline) odds being the most common. Each format presents the same information but in a different way, catering to regional preferences and traditions in gambling.
Understanding how to convert between these formats is essential for comparing odds across different bookmakers and betting markets, especially for international events or when using betting platforms from different regions.
Decimal Odds
Decimal odds (also known as European odds) represent the total return on a bet, including the initial stake. They're widely used in Europe, Australia, Canada, and New Zealand.
Potential Return = Stake × Decimal Odds
Profit = Stake × (Decimal Odds - 1)
Example: With decimal odds of 2.50 and a $10 bet, your potential return would be $10 × 2.50 = $25, which includes your original $10 stake plus $15 profit.
Key characteristics:
- Always greater than 1.00 (where 1.00 represents getting your stake back with no profit)
- The lower the number, the more likely the outcome is predicted to be
- Easy to calculate potential returns by simple multiplication
Fractional Odds
Fractional odds (also known as British odds or UK odds) are traditionally used in the United Kingdom and Ireland, especially in horse racing and sports betting. They represent the profit relative to the stake.
Potential Return = Stake + (Stake × Numerator/Denominator)
Profit = Stake × Numerator/Denominator
Example: With fractional odds of 6/4 and a $10 bet, your profit would be $10 × (6/4) = $15, with a total return of $25 (including your stake).
Key characteristics:
- Expressed as a ratio of profit to stake (e.g., 6/4, 9/2, 11/8)
- "Odds-on" opportunities (where you stake more than your potential profit) are shown with the denominator larger than the numerator (e.g., 4/7)
- Even odds are expressed as 1/1 (often called "evens")
American Odds
American odds (also called moneyline odds) are primarily used in the United States. They can be either positive or negative numbers, indicating underdogs and favorites respectively.
For positive odds: Potential Profit = Stake × (American Odds / 100)
For negative odds: Potential Profit = Stake × (100 / |American Odds|)
Examples:
- With +150 odds and a $100 bet, your profit would be $100 × (150/100) = $150, with a total return of $250.
- With -200 odds and a $100 bet, your profit would be $100 × (100/200) = $50, with a total return of $150.
Key characteristics:
- Positive odds (e.g., +150) show how much profit you'd win on a $100 stake
- Negative odds (e.g., -200) show how much you need to stake to win $100 profit
- Even odds are expressed as +100
Converting Between Odds Formats
Decimal to Fractional
- Subtract 1 from the decimal odds: (Decimal - 1)
- Express the result as a fraction in its simplest form
Example: To convert decimal odds of 3.50 to fractional: 3.50 - 1 = 2.50 = 5/2 (or 5/2)
Fractional to Decimal
- Divide the numerator by the denominator
- Add 1 to the result
Example: To convert fractional odds of 5/2 to decimal: (5 ÷ 2) + 1 = 2.5 + 1 = 3.50
Decimal to American
- For decimal odds greater than 2.00:
- Subtract 1 from the decimal odds
- Multiply by 100
- Add a + sign to the result
- For decimal odds less than 2.00:
- Subtract 1 from the decimal odds
- Divide 100 by the result
- Add a - sign to the result
Examples:
- Decimal odds of 3.50 to American: (3.50 - 1) × 100 = +250
- Decimal odds of 1.50 to American: -100 ÷ (1.50 - 1) = -100 ÷ 0.50 = -200
Implied Probability
Implied probability is the conversion of odds into a percentage, representing the likelihood of an event happening according to the odds. It's useful for comparing odds between bookmakers and identifying value bets.
Decimal odds: Implied Probability = (1 / Decimal Odds) × 100%
Fractional odds: Implied Probability = Denominator / (Numerator + Denominator) × 100%
Positive American odds: Implied Probability = 100 / (Odds + 100) × 100%
Negative American odds: Implied Probability = |Odds| / (|Odds| + 100) × 100%
Example: Decimal odds of 3.00 have an implied probability of (1 / 3.00) × 100% = 33.33%
Understanding implied probability helps bettors identify when the bookmaker's assessment of an event's likelihood differs from their own, potentially leading to profitable betting opportunities.
Frequently Asked Questions
These three formats express the same probabilities differently:
- Decimal odds (2.50) show the total return on a 1 unit stake, including the stake.
- Fractional odds (6/4) show the ratio of profit to stake.
- American odds can be positive (+150, showing profit on a 100 unit stake) or negative (-200, showing stake needed to win 100 units).
Calculate potential winnings based on odds format:
- Decimal: Winnings = Stake × Decimal Odds
- Fractional: Winnings = Stake + (Stake × (Numerator ÷ Denominator))
- American (positive): Winnings = Stake + (Stake × (American ÷ 100))
- American (negative): Winnings = Stake + (Stake × (100 ÷ |American|))
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