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Betting Odds Converter

Convert American, decimal and fractional odds to implied probability

Updated · Free, no signup

Positive for underdogs (+150), negative for favorites (−110). Must be ≥ +100 or ≤ −100.

$

Implied probability

40%

Decimal odds

2.5

American odds

+150

Fractional odds

3/2

Profit if the bet wins

$150.00

Total payout (stake + profit)

$250.00

  • The price implies a 40% chance of winning. If you think the true chance is higher, the bet has positive expected value.
  • A $100.00 stake returns $250.00 if it wins.

Common odds equivalents

AmericanDecimalFractionalImplied probability
-3001.3331/375%
-2001.51/266.7%
-1501.6672/360%
-1101.90910/1152.4%
+10021/150%
+1202.26/545.5%
+1502.53/240%
+20032/133.3%
+30043/125%
+50065/116.7%

About the Betting Odds Converter

Sportsbooks show the same price in different ways: American or moneyline odds such as +150 or −110 in the US, decimal odds such as 2.50 in Europe, Canada and Australia, and fractional odds such as 3/2 in the UK and Ireland. This odds converter translates any one of them into the others and shows the implied probability — the chance of winning the price represents.

Use it to compare prices between books that quote different formats, to check whether a bet offers value against your own estimate of the probability, or simply to understand what a stake would return. Enter a stake to see the profit and the total payout including your stake.

Implied probability here is the raw figure from a single price and includes the bookmaker’s margin (the vig). The fair probabilities of all outcomes in a market add up to 100%; bookmaker prices add up to more.

With the default inputs, the implied probability is 40%. Change any value above to recalculate instantly.

How to use the betting odds converter

  1. 1Choose the format your odds are in.
  2. 2Enter the odds — for American odds include the minus sign for favorites.
  3. 3Enter your stake to see profit and total payout.
  4. 4Read the equivalent odds in every format and the implied probability.

Formula and method

Decimal = 1 + A/100 (A > 0) or 1 + 100/|A| (A < 0); Decimal = 1 + n/d; P = 1 ÷ Decimal

Decimal odds are the total return per 1 unit staked, so they are the easiest base for converting. Positive American odds show the profit on a 100 stake, and negative American odds show the stake needed to win 100. Fractional odds n/d show profit relative to stake, so decimal = 1 + n/d.

Implied probability is 1 divided by the decimal odds. Profit is stake × (decimal − 1) and the payout adds the stake back. Fractions produced from decimal or American odds are reduced to the nearest fraction with a denominator of 100 or less, which matches how bookmakers quote them (for example −110 becomes 10/11).

A
American (moneyline) odds
n/d
Fractional odds
P
Implied probability

Worked examples

Underdog at +150

+150 means a $100 bet wins $150 profit. That is decimal 2.50 and fractional 3/2, and it implies a 40% chance of winning.

Standard −110 line with a $110 stake

At −110 you stake $110 to win $100. Decimal odds are 1 + 100/110 ≈ 1.909, fractional 10/11, and the implied probability is 52.38% — above 50% because of the bookmaker’s margin.

UK price of 5/1 with a $20 stake

5/1 pays five times the stake in profit, so $20 wins $100 and returns $120. That is decimal 6.00, American +500 and a 16.67% implied chance.

Fair odds for a 25% chance

An outcome with a 25% chance has fair decimal odds of 1 ÷ 0.25 = 4.00, which is +300 American or 3/1 fractional.

Frequently asked questions

How do I convert American odds to decimal?+

For positive odds, divide by 100 and add 1: +250 becomes 3.50. For negative odds, divide 100 by the number (ignoring the sign) and add 1: −200 becomes 1.50.

What does −110 mean in betting?+

It means you must stake $110 to win $100 profit. It is the standard price on point spreads and totals in the US and implies a 52.38% chance, which builds in the sportsbook’s margin.

How do I calculate implied probability?+

Divide 1 by the decimal odds. Decimal 2.00 implies 50%, 1.50 implies 66.7% and 4.00 implies 25%. For American odds, convert to decimal first or use 100 ÷ (A + 100) for positive odds and |A| ÷ (|A| + 100) for negative odds.

What is the vig or overround?+

It is the bookmaker’s margin. Add up the implied probabilities of every outcome in a market; anything over 100% is the overround. Two sides at −110 total 104.76%, a margin of about 4.5%.

What does evens mean?+

Evens (or even money) is 1/1 fractional, 2.00 decimal and +100 American. A winning bet doubles your stake, and the implied probability is 50%.

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