No-Vig Sports Betting Math: Removing Juice & Finding True Fair Odds
Sportsbooks build a mathematical profit margin—known as the vig (vigorish) or juice—into their betting lines. Calculating no-vig fair odds removes this bookmaker markup to reveal the market’s true implied win probabilities for Expected Value (+EV) auditing.
The Implied Probability & Vig Formulas
Negative American Odds (-X): Implied Win % = |X| ÷ (|X| + 100)
Positive American Odds (+Y): Implied Win % = 100 ÷ (Y + 100)
Sportsbook Vig (%) = (Implied Prob A + Implied Prob B - 1) × 100
The Power Method for Fair Probability
Fair Probability (Outcome A) = Implied Prob A ÷ (Implied Prob A + Implied Prob B)
For standard -110 / -110 lines (52.38% each = 104.76% sum), removing the 4.76% juice gives a true 50.00% fair probability and +100 even money fair odds.




