Betting Odds Converter (Decimal / American / Fractional / Implied Probability)
Enter odds in any one of decimal (e.g. 2.50), American moneyline (e.g. +150 / −200), British fractional (e.g. 3 / 2) or implied probability (e.g. 40%); the tool instantly returns the other three formats, classifies the line as favourite / underdog / even money and computes the payout and net profit for the stake you enter. Built for anyone comparing odds across books (Pinnacle, Bet365, DraftKings, Hong Kong Jockey Club), measuring value-bets via implied probability, or running arbitrage and hedging calculations.
Enter valid odds (decimal > 1, American ≥ 100 or ≤ −100, fractional positive integers, probability 0–100%).
Payout calculator
250.00
+ 150.00 net profit
Cross-format summary
- Decimal (European)
- 2.50
- American (Moneyline)
- +150
- Fractional (UK)
- 3/2
- Implied probability
- 40.00%
Underdog (book implies < 50% chance)
Implied probability includes the book's vig — the sum across all outcomes exceeds 100%, and the excess is the book's margin, not the true probability.
Formula
decimal = 1 + profit/stake; implied = 1 / decimal; American +X (X ≥ 100) ⇒ decimal = X / 100 + 1; American −X (X ≥ 100) ⇒ decimal = 100 / X + 1; fractional p/q ⇒ decimal = p / q + 1.
- · Decimal odds are the European / Australian / Canadian standard. Payout maths is trivial: stake × decimal odds = total return (including stake).
- · American (moneyline) odds dominate US and Canadian sportsbooks: +X means win X per 100 staked; −X means stake X to win 100.
- · Fractional odds p/q (UK horse-racing and British high-street books) read as "win p for every q staked" — pure profit-to-stake ratio. So 3/2 means 1.5 profit per 1 staked, equivalent to decimal 2.50.
- · Implied probability = 1 / decimal odds. Summing implied probabilities across all outcomes of a market typically exceeds 100% — the excess (called overround, vigorish or "juice") is the book's margin, NOT the true probability.
- · Hong Kong odds equal fractional odds expressed as a single decimal (profit-to-stake — e.g. 1.5 means stake 1 to win 1.5). Add 1 and you get the European decimal. This tool standardises on decimal.
- · Even money = decimal 2.00 = American ±100 = fractional 1/1 = implied probability 50%.
- · Decimal odds ≤ 1.00 have no market meaning (decimal 1.00 = risk-free stake return). The tool rejects them. Likewise American odds with |value| < 100 are not standard lines.
- · Scope: format conversion only. The tool does NOT compute the book's vig across full markets, parlay multipliers, or Kelly stake sizing — see the Kelly Criterion calculator for the latter.
Frequently asked
Is implied probability the same as the bookmaker's true probability estimate?
No. Implied probability is just 1 / decimal odds — the book has already baked the vig into the line. A typical three-way soccer market (home / draw / away) sums to 105–110%; the extra 5–10% is the book's margin. To estimate the book's "true" probability, divide each side's implied probability by the market total ("devigging"). For example, if the three sides imply 50% / 35% / 25% (sum 110%), the devigged probabilities are 45.5% / 31.8% / 22.7%. This tool converts a single line; it does not devig a full market.
Why does American +150 convert to decimal 2.50, not 1.50?
Decimal odds quote total return per unit stake — including the stake itself. So +150 (win 150 on 100) gives 250 back, hence decimal = 250 / 100 = 2.50. If you want the pure profit-to-stake ratio, subtract 1 → 1.50 — which is exactly the fractional form 3/2 or the Hong Kong odds 1.5. All three describe the same line; they differ only in whether the stake is included.
What's the difference between positive (+150) and negative (−200) American odds?
Positive American odds (+X) are quoted for underdogs: stake 100 to win X. +150 means win 150 on a 100 stake — the bigger X, the longer the shot. Negative odds (−X) are for favourites: stake X to win 100. −200 means stake 200 to win 100 — the bigger X, the heavier the favourite. The boundary is ±100, which equals decimal 2.00, fractional 1/1 and implied probability 50% — even money. Sportsbooks may quote either +100 or −100; they mean the same line.
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