Dutching Calculator: Split a Stake Across Outcomes
Free dutching calculator: split a total amount across several outcomes of one event to equalise the return and see the net result.
This dutching calculator splits a total amount across several outcomes of the same event so that the return is the same whichever one happens, and shows the sum of implied probabilities and the net result.
Dutching calculator
Splits one total across several outcomes of the same event so that the return is the same whichever one happens.
| Outcome | Odds | Stake | Return |
|---|---|---|---|
| Outcome 1 | — | — | — |
| Outcome 2 | — | — | — |
| Outcome 3 | — | — | — |
| Outcome 4 | — | — | — |
An equal return is not a profit: if the implied probabilities add up to more than 100%, the net result is negative. Only one of the options can come true.
How it works
Enter the total amount and the decimal odds of 2 to 4 outcomes of the same event. Each outcome gets a share proportional to its implied probability (1 / D), so the return is equal on all of them. Dutching does not remove the margin: if the implied probabilities add up to more than 100%, the net result is negative even though the return is equal.
Formulas
- Sum:
S = 1/D₁ + 1/D₂ + … + 1/Dₙ. - Stake on outcome
i= total × (1/Dᵢ) /S. - Equal return = total /
S; net result = total /S− total.
Worked example
Total 100 at odds 3.00, 3.50 and 4.00: the sum is 86.90%. Stakes: 38.36, 32.88 and 28.77. Equal return: 115.07; net result: 15.07.
Things to keep in mind
- The outcomes must belong to the same event and exclude each other; only one can happen.
- If you do not cover every possible outcome, one left out of the split loses the whole amount.
- Odds move and every operator applies its own limits and rules.
Next steps
- If the odds come from different operators and their sum falls below 100%, look at arbitrage with odds from several operators.
- To see how much margin the market carries across the outcomes you split the stake over, enter its odds.
- If one of the bets is already placed and the odds have moved, you can hedge a bet already placed.
- With a single outcome and a profit goal, the stake for a set profit is the simpler tool.
Frequently asked questions
What is dutching?
Splitting an amount across several outcomes of the same event so that the return is the same on each.
How do you calculate the stake on each outcome?
Total × (1 / the outcome's odds) divided by the sum of the inverses of all the odds.
Does dutching secure a profit?
No. The return is equal on each outcome, but the net result can be negative if the implied probabilities add up to more than 100%.
How is it different from arbitrage?
Arbitrage looks for odds at different operators whose implied probabilities add up to less than 100%; dutching is the same split applied to any set of odds.
To convert odds formats use the odds calculator.
18+. Take part only where it is legal. Betting carries a risk of loss. Do not treat potential returns as a budget and do not chase losses. If gambling stops being under control, stop and look for help from the support services in your country.
