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Odds Calculator

Enter betting odds in any format, whether American moneyline such as +150 or −110, decimal such as 2.50, fractional such as 5/2, or an implied probability, and see them converted to every other format. Add your stake to see the profit and the total payout if the bet wins.

Quick examples

+150 is the profit on a $100 bet; −110 is what you stake to win $100. Must be at least 100 either way.

$
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Total payout if it wins$250.00

Your stake back plus the profit.

Profit if it wins
$150.00
Implied probability
40%
Decimal odds
2.5
American (moneyline) odds
+150
Fractional odds
3/2

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      Formula

      Decimal from American: +A → 1 + A ÷ 100; −A → 1 + 100 ÷ A
      Decimal from fractional a/b: 1 + a ÷ b
      Implied probability = 1 ÷ decimal odds × 100%
      American from decimal d: if d ≥ 2, +(d − 1) × 100; if d < 2, −100 ÷ (d − 1)
      Profit = stake × (decimal − 1); total payout = stake × decimal

      How to use it

      1. Choose the format your odds are quoted in.
      2. Enter the odds and your stake.
      3. Read the payout and profit, and the same odds in the other formats.

      Worked examples

      An underdog at +150 with $100 staked

      Total payout if it wins
      $250.00
      Profit if it wins
      $150.00
      Implied probability
      40%
      Decimal odds
      2.5
      Fractional odds
      3/2
      American (moneyline) odds
      +150

      A standard −110 line: stake $110 to win $100

      Total payout if it wins
      $210.00
      Profit if it wins
      $100.00
      Implied probability
      52.38%
      Decimal odds
      1.909
      Fractional odds
      10/11

      Fractional 5/2 with a stake of 10

      Total payout if it wins
      $35.00
      Profit if it wins
      $25.00
      Implied probability
      28.57%
      Decimal odds
      3.5
      American (moneyline) odds
      +250

      A favorite at decimal 1.50 with $20 staked

      Total payout if it wins
      $30.00
      Profit if it wins
      $10.00
      Implied probability
      66.67%
      American (moneyline) odds
      -200
      Fractional odds
      1/2

      A 25% chance as fair odds

      Decimal odds
      4
      American (moneyline) odds
      +300
      Fractional odds
      3/1
      Total payout if it wins
      $400.00

      Evens

      Decimal odds
      2
      American (moneyline) odds
      +100
      Implied probability
      50%
      Fractional odds
      1/1
      Total payout if it wins
      $100.00

      Reading the three formats

      American odds are built around $100. A plus number is the profit on a $100 bet, so +150 wins $150. A minus number is the stake needed to win $100, so −110 means betting $110 to win $100.

      Decimal odds, used in Europe, Canada and Australia, are the total return for each 1 staked, stake included: 2.50 returns $250 on $100. Fractional odds, traditional in the UK and Ireland, are profit over stake: 5/2 wins 5 for every 2 staked.

      The bookmaker’s margin

      Implied probability is the win rate you need to break even at those odds, not the true chance of winning. Add up the implied probabilities of every outcome in a market and the total is usually more than 100%; the excess is the bookmaker’s margin, often called the vig or overround. With −110 on both sides of a game, each side implies 52.38%, a total of 104.76%.

      So a bettor laying −110 has to win more than 52.38% of bets just to break even. Odds are a price, not a prediction, and because of the margin the expected result over many bets is a loss.

      Questions people ask

      How much do I win on a $100 bet at +150?

      $150 profit, so $250 back in total including your stake.

      What does −110 mean?

      You stake $110 to win $100 profit, getting $210 back if it wins. As decimal odds that is 1.909, and the implied probability is 52.38%.

      What is 5/2 in decimal and American odds?

      Decimal 3.50 and American +250. A stake of 10 returns 35: 25 profit plus the 10 back.

      How do I convert odds to a probability?

      Divide 1 by the decimal odds: 2.50 is 1 ÷ 2.5 = 0.40, or 40%. From American odds, +150 is 100 ÷ (150 + 100) = 40%, and −200 is 200 ÷ (200 + 100) = 66.67%.

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