Implied Probability Calculator
Convert American, decimal, or fractional betting odds to implied probability %. Remove vig with no-vig fair odds calculation. Detect arbitrage opportunities in two-way and three-way markets.
Implied Probability
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Decimal Odds —
Break-Even Win Rate —
Extended More scenarios, charts & detailed breakdown ▾
Implied Probability
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Decimal Odds —
Payout on $100 bet —
Professional Full parameters & maximum detail ▾
Market Analysis
Market Overround —
Total Vig (Hold) —
Arbitrage Opportunity —
Fair Probabilities
Fair Prob Side 1 —
Fair Prob Side 2 —
How to Use This Calculator
- Select your odds format (American, Decimal, or Fractional).
- Enter the odds value.
- See implied probability and break-even win rate instantly.
- Use the No-Vig Fair Odds tab to compare both sides of a market and remove the juice.
- Use Professional for three-way markets (soccer 1X2) and arbitrage detection.
Formula
American negative: P = |odds| / (|odds| + 100)
American positive: P = 100 / (odds + 100)
Decimal: P = 1 / decimal odds
Example
−110 → 110/210 = 52.38%. Two sides at −110: overround = 104.76%, vig = 4.76%. Fair prob each side = 52.38/104.76 = 50%.
Frequently Asked Questions
- Implied probability is the win percentage embedded in betting odds. American −110 → 1/1.909 = 52.4%. This means the bookmaker implies a 52.4% chance for each side of an even game, which adds up to 104.8% (the 4.8% is the vig).
- For negative odds (−110): probability = |odds| / (|odds| + 100) = 110/210 = 52.4%. For positive odds (+150): probability = 100 / (odds + 100) = 100/250 = 40%.
- The vig (vigorish) is the sportsbook's commission. Standard −110/−110 lines have ~4.76% vig: implied probs sum to 104.76%, meaning the book keeps 4.76 cents of every dollar wagered long-term.
- No-vig odds remove the bookmaker's markup to show the true market probability. Divide each side's implied probability by the total overround: Fair P1 = Raw P1 / (P1 + P2).
- Arbitrage (arb) exists when the sum of fair probabilities across all outcomes is less than 100%. You can bet all sides proportionally for a guaranteed profit regardless of outcome.
Related Calculators
Sources & References (5) ▾
- Sportsbook Review — Odds Explained — Sportsbook Review
- Action Network — Implied Probability — Action Network
- BettingPros — Juice & Vig Explained — BettingPros
- ESPN Sports Betting Education — ESPN
- Vegas Insider — Understanding Odds — Vegas Insider