Vigorish

Vigorish, or simply the vig, also known as juice, under-juice, the cut or the take, is the amount charged by a bookmaker, or bookie, for taking a bet from a gambler. In the United States, it also means the interest on a shark's loan. The term originates from the Russian word for winnings, выигрыш vyigrysh.

Bookmakers use this practice to make money on their wagers regardless of the outcome. To minimize their risk, some bookmakers do not want to have an interest in any side winning in a given sporting event. Instead, they are interested in getting equal betting on all outcomes of the event. In this way, the bookmaker minimizes his risk and always collects a small commission from the vigorish. For this purpose, the bookmaker will normally adjust the odds or the line.

The concept is also sometimes referred to as the overround, although this is technically different, being the percentage the event book is above 100%, whereas the vigorish is the bookmaker's percentage profit on the total stakes made on the event. For example, 20% overround is vigorish of 162⁄3%. The connecting formulae are $v={\frac {o}{(1+o)}}$ and $o={\frac {v}{(1-v)}}$ where o is the overround.

It is simplest to assume that vigorish is factored in proportionally to the true odds, although this need not be the case. Under proportional vigorish, a moneyline odds bet listed at −100 vs. +100 without vigorish (fair odds) could become −105 vs. +105. Under disproportional vigorish, it could become −110 vs. +100.

Example

A fair odds bet: Two people want to bet on opposing sides of an event with even odds. They are going to make the bet between each other without using the services of a bookmaker. Each person is willing to risk $100 to win $100. After each person pays his $100, there is a total of $200 in the pot. The person who loses receives nothing and the winner receives the full $200.

By contrast, when using a sportsbook with the odds set at −110 vs. +100 (10 to 11, 1.9090..) with vigorish factored in, each person would have to risk or lay $110 to win $100 (the sportsbook collects $220 "in the pot"). The extra $10 per person is, in effect, a bookmaker's commission for taking the action. This $10 is not in play and cannot be doubled by the winning bettor; it can only be lost. A losing bettor simply loses his $110. A winning bettor wins back his original $110, plus his $100 winnings, for a total of $210. From the $220 collected, the sportsbook keeps the remaining $10 after paying out the winner.

Vigorish percentage

Vigorish percentage can be defined in a way independent of the outcome of the event and of bettors' behaviors by defining it as the percentage raked in a risk-free wager. This definition is the rake of the bookie as a percentage of total bets received if the bookie has balanced the wagers so that he makes equal profit regardless of the outcome of the event.

For a two outcome event, the vigorish percentage, v is

$v=100*\left(1-{p*q \over p+q}\right)$

where the p and q are the decimal payouts for each outcome. This should not be confused with the percentage a bettor pays due to vigorish. No consistent definition of the percentage a bettor pays due to vigorish can be made without first defining the bettor's behavior under juiced odds and assuming a win-percentage for the bettor. These factors are discussed under the debate section.

For example, −110 side pricing of an even match is 4.55% vigorish, and −105 side pricing is 2.38% vigorish.

Vigorish percentage for three-way events may be calculated using the following formula:

$v=100*{(1/p+1/q+1/t)-1 \over 1/p+1/q+1/t}$

where p, q and t are the decimal payouts for each outcome. For comparison, for overround calculation only the upper part of the equasion is used, leading to slightly higher percentage results than the vigorish calculation.

Other kinds of vigorish

Casino games

Vig may generically refer to the built-in house advantage on most bets on any game in a casino. The term may also refer to, and be applied in specific ways to, particular casino games.

• Baccarat, in the house-banked version of baccarat (also mini-baccarat) commonly played in North American casinos, vigorish refers to the 5% commission (called the cagnotte) charged to players who win a bet on the banker hand. The rules of the game are structured so that the banker hand wins slightly more often than the player hand; the 5% vigorish restores the house advantage to the casino for both bets. In most casinos, a winning banker bet is paid at even money, with a running count of the commission owed kept by special markers in a commission box in front of the dealer. This commission must be paid when all the cards are dealt from the shoe or when the player leaves the game. Some casinos don't keep a running commission amount, and instead withdraw the commission directly from the winnings; a few require the commission to be posted along with the bet, in a separate space on the table.
• Backgammon, the recube vig is the value of having possession of the doubling cube to the player being offered a double.
• Craps, vigorish refers to the 5% commission charged on a buy bet, where a player wishes to bet that one of the numbers — 4, 5, 6, 8, 9 or 10 — will be rolled before a 7 is rolled. The commission is charged at the rate of $1 for every $20 bet. The bet is paid off at the true mathematical odds, but the 5% commission is paid as well, restoring the house advantage. For many years, this commission was paid whether the bet won or not. In recent years, many casinos have changed to charging the commission only when the bet wins, which greatly reduces the house advantage; for instance, the house advantage on a buy bet on the 4 or 10 is reduced from 5% to 1.67%, since the bet wins one-third of the time (2:1 odds against). In this case, the vig may be deducted from the winnings (for instance, a $20 bet on the 4 would be paid $39 – $40 at 2:1 odds, less the $1 commission), or the player may simply hand the commission in and receive the full payout. This rule is commonplace in Mississippi casinos, and becoming more widely available in Nevada.
• Roulette: odds are calculated out of 36 numbers, but the wheel has one or two extra pockets (zero and double zero).
• Poker
  • In pai gow poker, a 5% commission charged on all winning bets is referred to as vigorish. Unlike baccarat, the commission is paid after each winning bet, either by the player handing in the amount from his stack of chips, or by having the vig deducted from the winnings.
  • In table poker, the vigorish, more commonly called the rake, is a fraction of each bet placed into the pot. The dealer removes the rake from the pot after each bet (or betting round), making change if necessary. The winner of the hand gets the money that remains in the pot after the rake has been removed. Most casinos take 5-10% of the pot, typically capping the total rake at $3 or $4.
• Slot machines - the payouts and winning combinations available on most slot machines and other electronic gambling systems are often designed such that an average of between 0.1% to 10% (varying by machine and facility) of funds taken in are not used to pay out winnings, and thus becomes the house's share. Machines or facilities with a particularly low percentage are often said to be loose.

Other uses

• In investment banking, "vig" is sometimes used to describe profits from advisory and other activities.
• In sports, Pittsburgh Pirates announcer Bob Prince coined the term "hidden vigorish" to describe an underdog's ability to beat the odds in a given situation.
• The term is also used in reference to an auction house's buyers and sellers fees.

See also

• Loan shark
• Rake (poker)
• Market maker

In roulette the house pays 35-1 / 17-1 / 8-1 / 4-1 etc. based on 38 actual slots including 0 and 00 Big vig in the houses favor.