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  2. Mathematics of bookmaking - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_bookmaking

    Decimal odds are a single value, greater than 1, representing the amount to be paid out for each unit bet. For example, a bet of £40 at 6 − 4 (fractional odds) will pay out £40 + £60 = £100. The equivalent decimal odds are 2.5; £40 × 2.5 = £100. We can convert fractional to decimal odds by the formula D = (b + a) ⁄ b.

  3. Kelly criterion - Wikipedia

    en.wikipedia.org/wiki/Kelly_criterion

    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.

  4. Sports betting - Wikipedia

    en.wikipedia.org/wiki/Sports_betting

    If the final adjusted score is a tie, the bet is considered a push. The half point at the end is sometimes added to eliminate the possibility of a push. This is the most common type of bet in American sports betting. Total (Over/Under) bets are wagers made based on the total score between both teams. In an example, if an MLB game has a total of ...

  5. Gambling mathematics - Wikipedia

    en.wikipedia.org/wiki/Gambling_mathematics

    The house edge (HE) or vigorish is defined as the casino profit expressed as a percentage of the player's original bet. In games such as Blackjack or Spanish 21, the final bet may be several times the original bet, if the player doubles or splits. Example: In American Roulette, there are two zeroes and 36 non-zero numbers (18 red and 18 black).

  6. Log5 - Wikipedia

    en.wikipedia.org/wiki/Log5

    The name Log5 is due to Bill James [1] but the method of using odds ratios in this way dates back much farther. This is in effect a logistic rating model and is therefore equivalent to the Bradley–Terry model used for paired comparisons , the Elo rating system used in chess and the Rasch model used in the analysis of categorical data.

  7. American Totalisator - Wikipedia

    en.wikipedia.org/wiki/American_Totalisator

    The company was founded by Harry L. Straus, a computer engineer from Baltimore, who became interested in developing a fairer system of calculating and displaying odds and payouts on parimutuel betting after an incident at a Maryland racetrack in 1927. When a horse listed at 12:1 odds won, but paid off at 4:1, Straus recognized the need for a ...

  8. Poker probability - Wikipedia

    en.wikipedia.org/wiki/Poker_probability

    In statistics, this is called odds against. For instance, with a royal flush, there are 4 ways to draw one, and 2,598,956 ways to draw something else, so the odds against drawing a royal flush are 2,598,956 : 4, or 649,739 : 1. The formula for establishing the odds can also be stated as (1/p) - 1 : 1, where p is the aforementioned probability.

  9. Fixed-odds betting - Wikipedia

    en.wikipedia.org/wiki/Fixed-odds_betting

    Fixed-odds betting is a form of gambling where individuals place bets on the outcome of an event, such as sports matches or horse races, at predetermined odds. In fixed-odds betting, the odds are fixed and determined at the time of placing the bet. These odds reflect the likelihood of a particular outcome occurring. If the bettor's prediction ...