Gambling terms, explained straight

In general mathematics, overround means the amount by which a sum exceeds 1 or 100%; in betting, it specifically refers to the bookmaker's built-in margin.24

Sports Betting

Overround percentage

The overround percentage is the built-in profit margin a bookmaker adds to a betting market, measured as how far the total implied probability of all possible outcomes exceeds 100%.

Formula
For k outcomes, overround = (∑ 1/Oi) − 1, where Oi are decimal odds.4
Typical range
Historically 10% to 15%; some markets now as low as 2%.6
Example
An overround of 1.045 corresponds to a margin of 4.5%.5

Key points

  • A bookmaker builds the margin into quoted odds so summed implied probabilities exceed 100%, making prices worse than fair odds.27
  • If the book is balanced, the overround is the bookmaker's expected profit; in an unbalanced book, actual profit can differ.13
  • Overround is related to but not identical to vigorish; conversion formulas exist in the literature.2

Where this term is used

Not the same as

  • Overround meaning — the general mathematical concept of an excess over 1 or 100%, whereas overround percentage is the specific betting margin

Sources

  1. Mathematics of bookmaking - Wikipedia en.wikipedia.org Defines the overround as the bookmaker's margin and explains how it works in balanced and unbalanced books.
  2. Vigorish - Wikipedia en.wikipedia.org Distinguishes overround from vigorish and provides the general mathematical meaning.
  3. Fixed-odds betting - Wikipedia en.wikipedia.org Explains how overround applies to fixed-odds betting and how actual profit can differ.
  4. Edward Wheatcroft* eprints.lse.ac.uk Provides the formula for overround and defines it as the excess of implied probabilities over 100%.
  5. Estimating expected loss rates in betting markets: theory and evidence tandfonline.com Gives a concrete example of an overround of 1.045 corresponding to a 4.5% margin.
  6. Extending Kelly Staking Strategies to Peer-to-Peer Betting Exchanges doc.ic.ac.uk States historical overround levels of 10% to 15% and current lows of 2%.
  7. Profiting from arbitrage and odds biases of the European ... qmro.qmul.ac.uk Explains that bookmakers build margin into odds so implied probabilities exceed 100%.

Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.