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Bet Calculator

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 decimal odds of 2.5; change any entry and the result, the working and the sources update together.

Decimal odds
2.5
Betting Odds Calculator
American / moneyline odds
150
Fractional odds
3/2
Implied probability
40 %
Hong Kong odds
1.5
Indonesian odds
1.5
Malay odds
-0.666667
Profit if the bet wins
150
Total return (stake plus profit)
250
Break-even win probability
40 %
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 = 2.5, i.e. 150 American, 3/2 fractional, 40% implied.
  2. 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
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 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 Betting Odds Calculator

Enter What to calculate, Odds, Odds format and Stake. Decimal odds updates as you type, and “Use a worked example” loads checked figures you can adjust. 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.

Convert +150 American odds example

With What to calculate: convert, Odds: +150, Stake: 100, the calculator returns Decimal odds: 2.5, American / moneyline odds: 150, Fractional odds: 3/2. This example is checked against an independent source in the test suite.

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

How to calculate odds for a bet?

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.

What is +200 odds as a percentage?

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 What to calculate, Odds and Odds format and shown as Decimal odds, American / moneyline odds and Fractional odds.

How do I work out my odds?

It needs What to calculate, Odds, Odds format, Stake, Odds for each leg or outcome and Your estimated win probability. Nothing else is required, and the figures stay in your browser.

How much would you win if you bet $100 on odds?

On the figures this page opens with — stake 100 — the decimal odds is 2.5. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

Is there a free bet calculator app available?

The calculation is free and does not require an account. An account is only needed for optional features such as saving, comparing, exporting, or sharing supported scenarios.

What information do I need for the 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 decimal odds of 2.5, so you can see the scale before entering your own.

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