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Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.
The amount by which the actual 'book' exceeds 100% is known as the 'overround', [1]: 96–104 [2]: 126–130 'bookmaker margin' [4] or the 'vigorish' or 'vig' [4] and represents the bookmaker's expected profit. Thus, in an "ideal" situation, if the bookmaker accepts £120 in bets at his own quoted odds in the correct proportion, he will pay out ...
Vigorish (also known as juice, under-juice, the cut, the take, the margin, the house edge or the vig) is the fee charged by a bookmaker for accepting a gambler's wager. In American English , it can also refer to the interest owed a loanshark in consideration for credit.