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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. Hence, fractional odds of a − 1 (ie. b = 1) can be obtained from decimal odds by a = D − 1.
Decimal odds are favoured by betting exchanges because they are the easiest to work with for trading, as they reflect the inverse of the probability of an outcome. [13] For example, a quoted odds of 5.00 equals to a probability of 1 / 5.00, that is 0.20 or 20%. Decimal odds are also known as European odds, digital odds or continental odds. [9]
A Dutch or an arb is profitable if the sum of the reciprocals of the decimal odds of each selection is less than 1, and each bet is sized such that the payout in each outcome are the same. Additionally, the profitability of a Dutch/arb can be expressed as 1-R, where R is the sum of the reciprocals. [2]
Odds for different outcomes in single bet are presented either in European format (decimal odds), UK format (fractional odds), or American format (money line odds). European format (decimal odds) are used in continental Europe, Canada, and Australia. They are the ratio of the full payout to the stake, in a decimal format. Decimal odds of 2.00 ...
For example, the 4-to-1 fractional odds shown above is the same as 5 in decimal odds, while 1-to-4 would be quoted as 1.25. The method for converting moneyline to decimal odds depends on whether the moneyline value is positive or negative. If the moneyline is positive, it is divided by 100 and add 1.
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The Canadian and American equivalent is the bet across (short for across the board): the bettor bets equal sums on the horse to win, place, and show. A parlay, accumulator or roll-up consists of a series of bets in which bettors stake the winnings from one race on the next in order until either the bettor loses or the series completes successfully.
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