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Parlay bets are paid out at odds higher than the typical single game bet, but still below the "true" odds. For instance, a common two-team NFL parlay based entirely on the spread generally has a payout of 2.64:1. In reality, however, if one assumes that each single game bet is 50/50, the true payout should instead be 3:1.
Fractional odds are written a − b (a/b or a to b), meaning a winning bettor will receive their money back plus a units for every b units they bet. 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.
Calculating payouts: Sports books pay winners based on the odds set at the time of the wager. But the odds are often expressed in a, well, odd way: as a positive or negative three-digit number.
The folks at Minyanville did a comprehensive calculation and came up with the following chart. The numbers are based on a $50 a square game, with a $625 payout for the 1st and 3rd quarters, a ...
To calculate decimal odds, you can use the equation Payout = Initial Wager × Decimal Value [12]. For example, if you bet €100 on Liverpool to beat Manchester City at 2.00 odds the payout, including your stake, would be €200 (€100 × 2.00).
Parimutuel betting differs from fixed-odds betting in that the final payout is not determined until the pool is closed — in fixed-odds betting, the payout is agreed at the time the bet is sold. Parimutuel gambling is frequently state-regulated, and offered in many places where gambling is otherwise illegal.
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 mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.