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Calculators · Sports betting math

Odds Converter

Type odds in any format; read the other three and the win chance.

Reset
Implied probability52.38%Odds of −110 need to win this often to break even
American
−110
Decimal
1.91
Fractional
10/11
A 100 stake returns
$190.91
Profit on a 100 stake
$90.91

Educational tool. Bandwagon does not take or place wagers. Results are arithmetic on the numbers you enter, not advice.

How the odds Converter works

All four formats say the same thing: how much you get back for what you stake. Decimal odds are the total return per 1 staked, stake included, so 2.50 returns 2.50 for every 1. Everything else converts through decimal.

American odds: a plus number is the profit on a 100 stake (+150 profits 150), a minus number is the stake needed to profit 100 (−200 risks 200 to profit 100). Decimal = 1 + american / 100 for plus prices, and 1 + 100 / |american| for minus prices. Fractional is the profit over the stake, which is decimal − 1 written as a fraction.

Implied probability is 1 / decimal: the share of the time a bet at that price has to win for you to break even. It includes the bookmaker's margin, which is why the two sides of a market add to more than 100%. The Vig Calculator takes it out.

Odds Converter example

You enter

Odds or probability
-110
Convert from
American

You get

Implied probability52.38%Odds of −110 need to win this often to break even
American
−110
Decimal
1.91
Fractional
10/11
A 100 stake returns
$190.91
Profit on a 100 stake
$90.91

−110 means risking 110 to win 100. As decimal that is 1.909 (110 + 100 over 110), as a fraction 10/11, and the bet must win 52.38% of the time to break even.

Odds Converter questions

How do I convert American odds to decimal?

For a plus price, divide by 100 and add 1: +150 is 1 + 1.5 = 2.50. For a minus price, divide 100 by the number without its sign and add 1: −200 is 1 + 0.5 = 1.50.

Why is −110 not 50%?

−110 implies 52.38%, not 50%, because you risk 110 to win 100. The extra 2.38 points are the bookmaker's margin on that side; both sides at −110 add to 104.76%.

What is the difference between −100 and +100?

Nothing: both are even money, 2.00 in decimal and 50%. The calculator writes it as +100.

Do fractional odds include the stake?

No. 5/2 means a 5 profit on a 2 stake, so the total return is 7 on 2, which is 3.50 in decimal.

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