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Bet Sports Calculator

Sports Betting Odds Calculator works out Decimal odds and American / moneyline odds from What to calculate, Odds and Odds format. The default figures on this page give profit if the bet wins of 90.909091; change any entry and the result, the working and the sources update together.

Profit if the bet wins
90.909091
Betting Odds Calculator
Decimal odds
1.909091
American / moneyline odds
-110
Fractional odds
10/11
Implied probability
52.380952 %
Hong Kong odds
0.909091
Indonesian odds
-1.1
Malay odds
0.909091
Total return (stake plus profit)
190.909091
Break-even win probability
52.380952 %
Worked out from Kelly, J.L. Jr (1956), "A New Interpretation of Information Rate", Bell System Technical Journal 35(4), 917-926 and 3 other sources.
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.

Your figures

Updates as you type
Formatting only. This does not change the calculation.
American (+150, -110), decimal (2.50), fractional (3/2) or a probability (40%).
Leave on automatic unless a bare number is ambiguous.
For arbitrage this is the total to spread across all outcomes.
Comma-separated. Parlay legs, arbitrage outcomes or the whole market for a no-vig calculation.
Kelly staking needs your own estimate, not the bookmaker's implied probability.
Multiply full Kelly by this. Half Kelly (0.5) keeps most of the growth with far less variance.

How this is worked out

2 steps
  1. Decimal price = 1.90909091, i.e. -110 American, 10/11 fractional, 52.380952% implied.
  2. A stake of 100 returns 190.909091 in total, a profit of 90.909091.

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

4 sources
Thorp, E.O. (2006), "The Kelly Criterion in Blackjack, Sports Betting and the Stock Market", Handbook of Asset and Liability Management, Elsevier
Fractional-Kelly practice and the variance argument for staking below full Kelly.
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
Definition of the overround/vigorish and the multiplicative method of removing it.
Shin, H.S. (1993), "Measuring the incidence of insider trading in a market for state-contingent claims", The Economic Journal 103(420), 1141-1153
Background on why the sum of implied probabilities exceeds one in a real book.

What the Sports Betting Odds 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 Sports Betting Odds Calculator

Enter What to calculate, Odds, Odds format and Stake. 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 What to calculate, Odds, Odds format, Stake, Odds for each leg or outcome and Your estimated win probability.

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.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

What information do I need for the Sports Betting Odds Calculator?

You need What to calculate, Odds, Odds format, Stake, Odds for each leg or outcome, Your estimated win probability, Bankroll and Kelly fraction. The page opens with default figures that give profit if the bet wins of 90.909091, so you can see the scale before entering your own.

What does this Sports Betting Odds 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.

Can I check how the Sports Betting Odds Calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

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