The probabilities of two outcomes in sports betting never add up to 100%. That’s because sportsbooks take their cut — called the juice or vig.
But to truly see how a sportsbook views an event, you need to remove that vig.
Here’s how to do it.
How Implied Probability Works
Before we can remove the juice, we need to figure out what it is.
You’ll need to convert American odds to implied probability, then add those two probabilities together. Whatever percentage that exceeds 100% is the juice.
Let’s use a moneyline in which the Packers are -200 and the Vikings are +170 as an example.
The formulas to convert American odds to implied probabilities will be slightly different if you’re converting a negative moneyline (favorite) or positive moneyline (underdog).
Favorite: Odds / (Odds + 100) *100
Packers: 200 / (200 + 100) *100 = 66.667%
That implies the Packers have about a 66.7% chance to win this game.
Underdog: 100 / (Odds + 100) *100
Vikings: 100 / (Odds + 100) *100 = 37.04%
That implies the Vikings have about a 37% chance to win this game.
Those two probabilities add up to 103.7%.
How to Remove the Juice
Removing the juice is not as simple as dividing 3.7% by two and subtracting from each side, but it’s fairly straightforward.
Here’s the formula:
Team A Implied Probability / (Team A IP + Team B IP)
Packers: 45.45% / (45.45% + 58.33%) = 44%
Vikings: 58.33% / (58.33% + 45.45%) = 56%
That gets you to 100%.
Here’s a quick video tutorial on how to remove juice in Excel. https://streamable.com/s/gu5968/ymhfqg?loop=0#amp=1
Why Remove the Juice?
It’s important to remove the juice on each implied probability so you can see what true odds are for each game. That way, you’re getting a more accurate picture of what the sportsbook and betting market really thinks of each team.
If you’re projecting games on your own using some sort of formula or model, you’ll want to compare to the true price to calculate your edge.