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Parlay Bet Calculator

Parlay Calculator works out Decimal odds and American / moneyline odds from Odds format, Stake and Odds for each leg or outcome. The default figures on this page give parlay decimal odds of 6.957926; change any entry and the result, the working and the sources update together.

Parlay decimal odds
6.957926
Betting Odds Calculator
Decimal odds
6.957926
American / moneyline odds
595.792637
Fractional odds
5610566521971/941697861380
Implied probability
14.372098 %
Hong Kong odds
5.957926
Indonesian odds
5.957926
Malay odds
-0.167844
Profit if the bet wins
595.792637
Total return (stake plus profit)
695.792637
Parlay American odds
595.792637
Parlay implied probability
14.372098 %
Break-even win probability
14.372098 %
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.
Multiplying the leg prices assumes the legs are independent. Correlated legs (same-game parlays) are priced differently by the book.
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.
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.
Multiply full Kelly by this. Half Kelly (0.5) keeps most of the growth with far less variance.

How this is worked out

3 steps
  1. Parlay price = 1.909091 x 1.909091 x 1.909091 = 6.95792637
  2. Every leg must win, so the combined implied probability is 14.372098%.
  3. A stake of 100 returns 695.792637, a profit of 595.792637.
Legstable
legdecimalamericanimpliedProbability
11.909091-11052.380952
21.909091-11052.380952
31.909091-11052.380952

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 Parlay 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 Parlay Calculator

Enter Odds format, Stake, Odds for each leg or outcome 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 format, Stake, Odds for each leg or outcome 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.

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 do you calculate parlays?

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 much does a $100 4 team parlay pay?

On the figures this page opens with — stake 100 — the parlay decimal odds is 6.957926. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

How rare is it to hit a 12 leg parlay?

It needs Odds format, Stake, Odds for each leg or outcome and Kelly fraction. Nothing else is required, and the figures stay in your browser.

What is the parlay formula?

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 Parlay Calculator?

You need Odds format, Stake, Odds for each leg or outcome and Kelly fraction. The page opens with default figures that give parlay decimal odds of 6.957926, so you can see the scale before entering your own.

What does this Parlay 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.

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