Dutching Calculator
Split one total stake across multiple mutually exclusive outcomes and calculate equalised return, profit or loss, overround and arbitrage status.
Dutching inputs
How to use the dutching calculator
This calculator divides one total stake across several mutually exclusive outcomes so that each winning outcome produces approximately the same gross return. Enter at least two decimal prices, choose a total stake and press Calculate split.
The calculator displays the stake for every outcome, the equalised return, net profit or loss, combined implied probability, ROI and whether the entered prices create a theoretical arbitrage.
What is dutching?
Dutching is a staking method that spreads one budget across multiple outcomes. Lower odds receive a larger stake and higher odds receive a smaller stake so that the total return is approximately equal whichever selected outcome wins.
Weighted stakes
Stake size is inversely proportional to decimal odds.
Equalised return
Each selected outcome targets the same gross payout.
Complete coverage
The method only works as intended when the selected outcomes cover the intended market correctly.
Dutching formula explained
First, convert each decimal price into an inverse value and add the results.
(1 ÷ Odds 1) + (1 ÷ Odds 2) + ...The equalised gross return is the total stake divided by that sum.
Total stake ÷ Combined inverse-odds sumEach individual stake is then calculated by dividing the equalised return by that outcome's decimal odds.
Equalised return ÷ Outcome oddsDutching versus arbitrage betting
Dutching and arbitrage use similar stake-allocation mathematics, but they are not identical concepts. Dutching describes the stake split. Arbitrage exists only when the sum of implied probabilities is below 100%, allowing a theoretical positive return whichever selected outcome wins.
| Feature | Dutching | Arbitrage |
|---|---|---|
| Main purpose | Equalise return across outcomes | Lock a theoretical positive return |
| Profit required? | No | Yes |
| Combined implied probability | Can be below, equal to or above 100% | Must be below 100% |
| Execution risk | Rounding and market coverage | Price movement, limits and void rules |
Combined implied probability and overround
If the combined implied probability is above 100%, the equalised return will be below the total stake. The amount above 100% is the overround.
Combined implied probability − 100%If the total is below 100%, the difference represents a theoretical arbitrage margin before rounding, limits and execution costs.
100% − Combined implied probabilityDutching examples
Example 1: positive theoretical arbitrage
Odds of 3.00, 4.00 and 5.00 have a combined implied probability of approximately 78.33%. With a €100 total stake, the equalised gross return is about €127.66 and theoretical profit is about €27.66.
| Outcome | Odds | Stake | Gross return |
|---|---|---|---|
| 1 | 3.00 | 42.55 | 127.66 |
| 2 | 4.00 | 31.91 | 127.66 |
| 3 | 5.00 | 25.53 | 127.66 |
Example 2: negative equalised result
If two outcomes are both priced at 1.80, the combined implied probability is 111.11%. A €100 total stake produces an equalised return of about €90, creating a €10 loss whichever selected outcome wins.
Example 3: rounding differences
Bookmakers usually accept stakes to two decimal places. Small rounding differences can make one outcome return slightly more or less than another. Always recheck the final stakes before placing bets.
When can dutching be used?
Dutching is generally intended for mutually exclusive outcomes such as:
- multiple runners in a horse race;
- several correct-score outcomes;
- tournament winner markets;
- several players in an outright market;
- different teams in a winner market;
- exchange or bookmaker combinations covering all relevant outcomes.
Overlapping selections can make the interpretation invalid because more than one outcome may win or all outcomes may lose together.
Dutching and bankroll management
The total stake should be evaluated as one combined position. Splitting €100 across five outcomes does not reduce the total exposure below €100. The mathematical structure changes, but the whole amount remains at risk if the market coverage is incomplete or settlement differs.
Common dutching mistakes
- Using outcomes that are not mutually exclusive.
- Failing to cover every relevant outcome.
- Ignoring bookmaker or exchange commission.
- Assuming any dutching calculation guarantees profit.
- Rounding stakes without checking final returns.
- Ignoring price movement during execution.
- Using different settlement rules across bookmakers.
- Exceeding account or market stake limits.
Dutching versus value betting
Value betting evaluates whether an individual price is favourable relative to a probability estimate. Dutching focuses on stake distribution across multiple outcomes. A dutched position can contain negative-value prices, and a value bet does not require dutching.
Related staking and probability tools
Check the full market before using the split
Dutching is only as reliable as the prices, market coverage and settlement rules entered. Explore the Academy for probability, value and bankroll guidance.
Related betting tools
Dutching Calculator FAQ
What is dutching?
Dutching splits one total stake across multiple outcomes to target approximately equal gross returns.
Does dutching guarantee profit?
No. Profit only exists when the entered prices and complete market coverage create a positive theoretical margin.
How many outcomes can I enter?
This calculator supports up to 15 outcomes.
Why is projected profit negative?
The combined implied probability may exceed 100%.
What is combined implied probability?
It is the sum of 1 divided by each decimal price, expressed as a percentage.
What is overround?
Overround is the amount by which combined implied probability exceeds 100%.
What is an arbitrage margin?
It is the amount by which combined implied probability falls below 100%.
Can dutching be used for horse racing?
Yes, provided the selected runners and settlement rules are understood.
Can dutching be used for football?
Yes, for suitable mutually exclusive markets such as correct score or tournament winner.
Can more than one selected outcome win?
Standard dutching assumes mutually exclusive outcomes. Overlapping outcomes require different analysis.
Why do returns differ slightly after placing bets?
Rounding, price movement, commission or stake limits can alter the result.
Does this calculator include commission?
No. Commission and fees must be considered separately.
Can I remove an outcome?
Yes. Outcomes added beyond the first two can be removed individually.
Is my data stored?
No. The calculation runs locally in your browser and requires no registration.
Is dutching the same as value betting?
No. Dutching allocates stakes; value betting evaluates price quality.