Odds Calculator
An odds calculator converts between different probability formats: decimal odds (European), fractional odds (UK), moneyline/American odds (US), and implied probability. Each format expresses the same underlying probability differently.
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Tip: Always convert odds to implied probability before comparing. A "good" bet is one where the true probability exceeds the implied probability in the odds. This is called having "value."
- 1Decimal odds = 1 / probability (includes stake: 2.50 means $1 returns $2.50 total)
- 2Fractional odds (e.g. 3/2): profit/stake = 1.5× profit on $1 bet
- 3American odds: +150 means $100 bet wins $150; −150 means bet $150 to win $100
- 4Implied probability = 1/decimal odds = stake/(stake+profit) for fractional
Decimal odds 2.50=40% implied probability, +150 American, 3/2 fractional1/2.50 = 0.40 = 40%
American odds −200=66.7% implied probability, decimal 1.50Heavy favorite
| Format | Example | Profit on $100 | Implied probability |
|---|---|---|---|
| Decimal | 2.50 | $150 | 40% |
| Fractional | 3/2 | $150 | 40% |
| American (positive) | +150 | $150 | 40% |
| American (negative) | −150 | $66.67 | 60% |
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Fun Fact
Bookmakers build in a "vig" (vigorish) or "juice" — overround — into their odds, ensuring they profit regardless of outcome. A fair coin flip has 50%/50% probability, but a bookie might offer 52% implied probability on each side (104% total), keeping a 4% margin.
References
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