What the vig is
A fair coin at fair odds pays 2.00 on heads and 2.00 on tails: 1/2.00 + 1/2.00 = 1. A bookmaker prices the same coin at 1.91 and 1.91: 0.5236 + 0.5236 = 1.047. That extra 0.047 (4.7%) is the overround. Bet both sides equally at every toss and the book keeps about 4.5% of the money staked, whichever side lands.
overround = 1/odds₁ + 1/odds₂ (+ 1/odds₃) | margin = 1 - 1 / overround
How the fair odds are worked out
The calculator uses the proportional method: each implied probability is scaled down by the same factor so that they add up to exactly 1.
fair probabilityᵢ = (1/oddsᵢ) / overround | fair oddsᵢ = 1 / fair probabilityᵢ
Other methods spread the margin unevenly (books tend to load more of it on longshots). For short odds and balanced markets the difference is small; for big favourites against big outsiders it can matter.
Using fair odds
Fair odds are a reference price. Value bettors take a sharp book's fair odds as the market's best estimate and look for other books offering more. Arbitrage needs no estimate at all: it only needs the best price for every outcome, across books, to have implied probabilities that add up to less than 1. That is a surebet, and the surebet calculator splits the stake for it.
Either way, the price has to still be there when you place the bet. Odds at a second book can be minutes old, which is the main reason a surebet found is not a surebet confirmed.

