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Fractional Odds Calculator

Convert chances for and against success into fractional odds, win/lose probabilities, and streak probabilities.

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What Are Fractional Odds?

Fractional odds express the ratio of chances against success to chances for success. UK and European betting markets commonly use this format. For example, 5/1 means five chances to lose for every one chance to win. See also the Decimal Odds Calculator and Odds Probability Calculator.

Fractional Odds Formula

$$\text{odds} = \frac{C_{\text{against}}}{C_{\text{for}}}$$

where $C_{\text{for}}$ is the number of chances for success and $C_{\text{against}}$ is the number of chances against success.

Converting Fractional to Decimal Odds

Decimal odds equal $(C_{\text{for}} + C_{\text{against}}) / C_{\text{for}}$. To convert fractional odds $a/b$ to decimal, compute $a/b + 1$. For example, 5/1 fractional odds equal 6.0 decimal odds.

Frequently Asked Questions

What are the odds of winning a coin toss?

A fair coin has one chance to win and one to lose, so fractional odds are 1/1 (even money). The probability of winning is 50%.

How do I convert fractional odds to decimal odds?

Add the denominator to the numerator, then divide by the denominator. For 1/2: (1+2)/2 = 1.5 decimal odds. Or simply add 1 to the decimal equivalent of the fraction.

What do 5/1 odds mean?

5/1 means five chances against for every one chance for. You win roughly 1 in 6 attempts (about 16.67% probability). A successful $1 bet at 5/1 returns $6 total ($5 profit plus $1 stake).

How is probability related to fractional odds?

Probability of winning equals $C_{\text{for}} / (C_{\text{for}} + C_{\text{against}})$. Fractional odds show the lose-to-win ratio, while probability shows the win share of all outcomes.