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Betting Odds Explained: Decimal, Fractional and American

A dark odds board with highlighted green prices

2.50, 3/2 and +150 are the same price written three ways. How to read each format, turn odds into a probability, and spot the bookmaker's margin.

Three ways to write one price

DecimalFractionalAmerican€10 stake returns
1.501/2−200€15
2.001/1 (evens)+100€20
2.503/2+150€25
4.003/1+300€40
  • Decimal (Europe, Canada, Australia): the total return per 1 staked, including the stake.
  • Fractional (UK): profit relative to stake — 3/2 means 3 profit for every 2 staked.
  • American: +150 is the profit on a 100 stake; −200 is how much you stake to win 100.

Odds as a probability

Decimal odds convert to an implied probability with one division: 1 ÷ odds. Odds of 2.50 imply 1 ÷ 2.50 = 40%. Odds of 1.50 imply about 67%.

The bookmaker's margin

Add up the implied probabilities of every outcome in a market and you will get more than 100%. For a football match priced 2.10 / 3.40 / 3.60, that is 47.6% + 29.4% + 27.8% = 104.8%. The extra 4.8% is the overround — the bookmaker's built-in margin. The lower it is, the better the prices.

Odds are an opinion about probability — plus a margin. They are not a prediction of what will happen.

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