Betting Mathematics

Implied Probability Explained

Learn how to convert American, decimal and fractional odds into implied probability and compare sportsbook prices with fair odds.

Advertisement

Implied probability converts betting odds into the percentage chance represented by the price.

Decimal odds

Implied probability equals one divided by decimal odds. Decimal 2.50 implies 40%.

Positive American odds

For +150, implied probability is 100 divided by 150 plus 100, which equals 40%.

Negative American odds

For -200, implied probability is 200 divided by 200 plus 100, which equals 66.67%.

Bookmaker margin

The implied probabilities in a market often add to more than 100% because of overround.

Fair probability

Compare the sportsbook's implied probability with your own estimate.

Professional approach

Use implied probability as the bridge between odds, expected value and model forecasts.

Educational note: Betting involves risk. Examples are for explanation only and do not guarantee profit.

Frequently asked questions

What probability does +100 imply?

50%.

What probability does -110 imply?

About 52.38%.

Why do market probabilities exceed 100%?

Because the sportsbook includes margin.

<body bgcolor="#ccff99"> <center> <font color="#006666" face="Arial,Helvetica,Geneva,Swiss,SunSans-Regular">Implied Probability - Understanding implied probability is essential for anyone serious about sports betting, since it reveals the true chance a bookmaker's odds suggest for an outcome to occur. Whether you're working with American odds, decimal odds, or fractional odds, learning how to calculate implied probability allows you to see past the raw numbers and compare them to your own assessment of an event. Bookmakers build in a bookmaker margin (often called the vig or overround) on every market, meaning the implied probability for all outcomes will always add up to more than 100%. By learning to strip out this margin — a process known as finding no-vig odds or de-vigged probability — bettors can uncover the true probability behind a line and identify potential value bets where the market may be mispricing an outcome. This kind of probability-based betting strategy is a core skill in NBA, NFL, and horse racing markets alike, helping you move beyond guesswork and make more informed, disciplined decisions.</font></center> </body>