An odds conversion chart lists the same price in American, decimal and fractional odds, with the implied probability each one represents. A −110 price is 1.91 in decimal odds, 10/11 in fractional odds and a 52.4% implied probability — which is also the win rate you need to break even at that price.
Use the chart to read any line quickly, or to compare a sportsbook price with a prediction-market price quoted in cents (a 52¢ contract is close to a 52% implied probability).
Odds conversion chart: American, decimal, fractional and implied probability
| American | Decimal | Fractional | Implied probability |
|---|---|---|---|
| −1000 | 1.10 | 1/10 | 90.9% |
| −500 | 1.20 | 1/5 | 83.3% |
| −400 | 1.25 | 1/4 | 80.0% |
| −300 | 1.33 | 1/3 | 75.0% |
| −250 | 1.40 | 2/5 | 71.4% |
| −200 | 1.50 | 1/2 | 66.7% |
| −175 | 1.57 | 4/7 | 63.6% |
| −150 | 1.67 | 2/3 | 60.0% |
| −140 | 1.71 | 5/7 | 58.3% |
| −130 | 1.77 | 10/13 | 56.5% |
| −125 | 1.80 | 4/5 | 55.6% |
| −120 | 1.83 | 5/6 | 54.5% |
| −115 | 1.87 | 20/23 | 53.5% |
| −110 | 1.91 | 10/11 | 52.4% |
| −105 | 1.95 | 20/21 | 51.2% |
| +100 / even | 2.00 | 1/1 | 50.0% |
| +105 | 2.05 | 21/20 | 48.8% |
| +110 | 2.10 | 11/10 | 47.6% |
| +115 | 2.15 | 23/20 | 46.5% |
| +120 | 2.20 | 6/5 | 45.5% |
| +125 | 2.25 | 5/4 | 44.4% |
| +130 | 2.30 | 13/10 | 43.5% |
| +140 | 2.40 | 7/5 | 41.7% |
| +150 | 2.50 | 3/2 | 40.0% |
| +175 | 2.75 | 7/4 | 36.4% |
| +200 | 3.00 | 2/1 | 33.3% |
| +250 | 3.50 | 5/2 | 28.6% |
| +300 | 4.00 | 3/1 | 25.0% |
| +400 | 5.00 | 4/1 | 20.0% |
| +500 | 6.00 | 5/1 | 16.7% |
| +1000 | 11.00 | 10/1 | 9.1% |
Implied probabilities include the sportsbook’s vig for that one side. Decimal odds are rounded to two places and probabilities to one.
How to convert American odds to decimal odds
- Positive odds: divide by 100 and add 1. +150 → 150 ÷ 100 + 1 = 2.50.
- Negative odds: divide 100 by the odds (ignoring the minus sign) and add 1. −110 → 100 ÷ 110 + 1 = 1.91.
- Decimal odds are your total return per $1 staked, including the stake.
How to convert American odds to implied probability
- Negative odds: odds ÷ (odds + 100), ignoring the minus sign. −110 → 110 ÷ 210 = 52.4%.
- Positive odds: 100 ÷ (odds + 100). +150 → 100 ÷ 250 = 40.0%.
- Decimal odds: 1 ÷ decimal. 1.91 → 1 ÷ 1.91 = 52.4%.
Why implied probability is your break-even win rate
Implied probability is the share of bets you must win at that price to finish level. Every cent of price changes it. The worked example below shows why a small difference adds up.
- At −110: 50 wins × 0.909 units = 45.45 units won, 50 units lost → −4.55 units.
- At −105: 50 wins × 0.952 units = 47.62 units won, 50 units lost → −2.38 units.
Reading the chart in a sportsbook
- A minus sign marks the favorite: you risk more than you win.
- A plus sign marks the underdog: you win more than you risk.
- Two sides of one market add up to more than 100% (for example 52.4% + 52.4% = 104.8%). The extra is the vig — see what the vig is, and how to remove it with the no-vig fair price.
Sources: the conversions are standard formulas, shown above with the math for each. New to the format? Start with how American odds work.
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