Bet Winning Calculator
Odds Payout Calculator works out Decimal odds and American / moneyline odds from Odds, Odds format and Stake. The default figures on this page give profit if the bet wins of 150; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
2 steps
- Decimal price = 2.5, i.e. 150 American, 3/2 fractional, 40% implied.
- A stake of 100 returns 250 in total, a profit of 150.
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
4 sources
What the Odds Payout Calculator calculates
Converts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.
How to use this Odds Payout Calculator
Enter Odds, Odds format, Stake and Kelly fraction. Decimal odds updates as you type. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Decimal odds, American / moneyline odds and Fractional odds.
The method follows Kelly, J.L. Jr (1956), "A New Interpretation of Information Rate", Bell System Technical Journal 35(4), 917-926, Thorp, E.O. (2006), "The Kelly Criterion in Blackjack, Sports Betting and the Stock Market", Handbook of Asset and Liability Management, Elsevier, Cortis, D. (2015), "Expected values and variances in bookmaker payouts: a theoretical approach towards setting limits on odds", Journal of Prediction Markets 9(1), 1-14 and Shin, H.S. (1993), "Measuring the incidence of insider trading in a market for state-contingent claims", The Economic Journal 103(420), 1141-1153.
What you can compare
Change one input at a time to see how it affects Decimal odds, American / moneyline odds and Fractional odds. The inputs you can vary are Odds, Odds format, Stake and Kelly fraction.
Understanding Decimal odds, American / moneyline odds and Fractional odds
This is an arithmetic tool, not betting advice. Bookmaker prices already carry a margin, so the long-run expected value of a bet at posted odds is negative unless you genuinely have an edge. Gamble only what you can afford to lose.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
How to calculate winning from odds?
Converts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books. Open “How this is worked out” beside the result to see each step for your own figures.
How do I calculate my winning bet?
It needs Odds, Odds format, Stake and Kelly fraction. Nothing else is required, and the figures stay in your browser.
What is +200 in odds?
Converts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books. On this page it is computed from Odds, Odds format and Stake and shown as Decimal odds, American / moneyline odds and Fractional odds.
What odds are 9%?
The result gives Decimal odds, American / moneyline odds, Fractional odds, Implied probability, Hong Kong odds and Indonesian odds, each labelled with its unit so the figure can be read on its own.
What information do I need for the Odds Payout Calculator?
You need Odds, Odds format, Stake and Kelly fraction. The page opens with default figures that give profit if the bet wins of 150, so you can see the scale before entering your own.
What does this Odds Payout Calculator show?
It shows Decimal odds, American / moneyline odds, Fractional odds, Implied probability, Hong Kong odds, Indonesian odds, Malay odds and Profit if the bet wins, with the working and any warnings for your entries.