# Implied Probability Calculator

This Implied Probability Calculator converts American odds into implied probability. This calculation converts the odds into a form that is easier to quantify: percent likelihood of the event occurring. This type of calculator includes the sportsbooks margin, which means it isn’t the exact likelyhood.

## Implied Probability

Enter the American odd in the space provided and hit calculate to get the percent value.

## How the Implied Probability Calculator works

Implied probability is most useful when determining the sportsbook’s edge over the bettor. It is important to note: this is not the margin/vig/juice. This is simply the advantage they have in being profitable over the bettor. Though it will never tell you which team to select, determining the percent implied probability over 100% will point out lines where the book’s advantage is lower. In being a successful sports betting every percentage point counts, and each point the book gives back is one more win toward profitability for the bettor.

## Implied Probability Calculation for Negative American Odds

Calculating implied probability is a little more complex for American odds. Let’s take the classic coin flipping example where we know the actual probability is 50%: a -110 bet on Heads. Once again, the calculation is slightly different for for minus odds versus plus odds.

Implied Probability = (-1*(Odds)) / (-1(Odds) + 100)

Which looks like:

Implied Probability = (-1*(-110)) / (-1(-110) + 100)

or:

52.4% or 0.524 = 110 / 210

That number should be familiar to experienced bettors as the break even winning percentage bettors shoot for. Because -110 on one side of a bet usually means -110 on the other side too, we can add all the probabilities (in this case another -110 probability) to determine the sportsbook’s edge.

(Heads Probability + Tails Probability) – 1 = Sportsbook’s Edge
or:

(0.524 + 0.524) – 1 = 0.048 or 4.8%

Ideally you should be looking for bets with the lowest sportsbook edge you can. It is a subtle edge in sports betting, but remember the difference between winning at 52% and 53% is a world of difference.

## Implied Probability Calculation for Positive American Odds

Let’s work a positive odds example. We’ll use the following moneyline bet where the favorite is -190 and the underdog is +160. First we break down the implied probability on +160 odds :

Implied Probability = 100 / (Odds + 100)

or:

38.4% or 0.384 = 100 / (160 + 100)

To get the other outcome, we calculate the -190 odds:

65.5% or 0.655 = (-1(-190)) / (-1(-190) + 100)

In the above example we see that the sportsbook’s advantage is:

(0.384 + 0.655) – 1 = 3.9%

What this tells us is that with no other information a bet on the -190/+160 is more likely to be successful over the long term than the -110/-110 example. This chart shows the implied probability for negative and positive odds. Note that probability approaches, but never touches 0% as positive odds go up. Likewise negative odds approach 100% but never actually reach 100%