Decimal 2.50
Implied probability is 1 ÷ 2.50 = 40%. The equivalent formats are fractional 3/2 and moneyline +150.
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| Starting format | Implied probability | Decimal odds |
|---|---|---|
| Decimal D | p = 1 / D | D |
| Fractional a/b | p = b / (a + b) | D = 1 + a/b |
| Positive moneyline +A | p = 100 / (A + 100) | D = 1 + A/100 |
| Negative moneyline −A | p = A / (A + 100), using A as the positive magnitude | D = 1 + 100/A |
| Probability p | p | D = 1/p |
Decimal odds include the returned stake. Fractional and moneyline odds describe profit relative to stake. The percentage shown is the break-even probability encoded by one price before removing any bookmaker margin.
Decimal odds show total return per unit staked. At 2.50, a winning 10-unit stake returns 25 units in total: 15 units of profit plus the original 10-unit stake.
Fractional odds show potential profit relative to stake. Odds of 3/2 mean 3 units of profit for every 2 units staked. Adding the returned stake gives decimal odds of 1 + 3/2 = 2.50.
American moneyline odds use two directions. Positive odds show profit from a 100-unit stake, so +150 means 150 units of profit. Negative odds show the stake needed for 100 units of profit, so −200 means staking 200 units for 100 units of profit.
At decimal odds D, the implied probability is 1/D. This is the win rate at which the expected gross return equals the amount staked, before costs. It is a price-derived threshold, not proof that an outcome has that true probability.
Implied probability is 1 ÷ 2.50 = 40%. The equivalent formats are fractional 3/2 and moneyline +150.
Decimal odds are 1 + 4/5 = 1.80. Implied probability is 5 ÷ 9 = 55.5556%, and the equivalent moneyline is −125.
Decimal odds are 1 + 100/200 = 1.50. Implied probability is 200 ÷ 300 = 66.6667%, and fractional odds are 1/2.
Decimal odds are 1 ÷ 0.25 = 4.00. Equivalent fractional odds are 3/1, and the moneyline is +300.
Divide 1 by the decimal odds, then multiply by 100. Decimal odds of 2.50 imply 40% because 1 ÷ 2.50 = 0.40.
Divide the numerator by the denominator and add 1. Fractional odds of 3/2 become 1 + 3/2 = 2.50.
A positive moneyline shows profit on a 100-unit stake. A negative moneyline shows the stake needed for 100 units of profit. For example, +150 converts to decimal 2.50, while −200 converts to decimal 1.50.
Not necessarily. Implied probability is the break-even percentage encoded by the displayed odds. Bookmaker margin and market assumptions mean it is not a prediction or guarantee of the true chance.
Prices for every possible outcome often include a bookmaker margin, also called overround or vig. Convert all mutually exclusive outcomes and add their percentages to measure the raw overround.
Even money is decimal 2.00, fractional 1/1, moneyline +100, and an implied probability of 50%.
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