Implied Probability Calculator

Inputs

18+ · BeGambleAware.org

Results

Enter values to calculate.

How the implied probability calculator works

Every price is a probability in disguise. Implied probability is the chance of an outcome that a bookmaker's price assumes, margin included. Comparing it with your own estimate is the whole question of whether a price is worth taking.

  1. Convert the price to decimal odds if it is not already.
  2. Implied probability is 1 divided by the decimal odds, as a percentage.
  3. Across a market the implied probabilities add up to more than 100%; the excess is the bookmaker's margin.

Worked example

A price of 2.10.

  • 1 ÷ 2.10 = 47.6%.
  • In fractional terms that is 11/10; in American, +110.

If you believe the true chance is 50%, this price is value; if you believe it is 45%, it is not.

Questions

What is implied probability in sports betting?
The chance of an outcome that a price implies: 1 divided by the decimal odds. It is what you are being asked to believe by taking the price.
How do you convert American odds to implied probability?
For positive odds, 100 divided by (odds + 100). For negative odds, the absolute odds divided by (absolute odds + 100). +110 is 47.6%; −110 is 52.4%.
Why do the probabilities in a market add to more than 100%?
Because the bookmaker prices every outcome a little short. The amount over 100% is the margin, and it is why a fair price is always a little bigger than the offered one.