Dutching calculator: equal profit on every pick

Selection	Odds	Stake	Return
1	7.00	19.22	134.54
2	8.50	15.83	134.56
3	9.00	14.95	134.55
Total		50.00

How it works

Dutching backs several selections in one market so that whichever of them wins, the return is the same. Each selection is staked in proportion to its implied chance, and together they behave like one bet at combined odds of 1 divided by the sum of their implied chances.

If none of your selections wins, the whole stake is lost. Dutching spreads the risk across outcomes you rate; it does not remove it.

The formula

Combined chance = 1 ÷ odds 1 + 1 ÷ odds 2 + …
Combined odds = 1 ÷ combined chance
Stake on a selection = total stake × (1 ÷ its odds) ÷ combined chance
Return if any selection wins = total stake × combined odds

A worked football example

Back three correct scores, 1–0 at 7.00, 2–1 at 8.50 and 2–0 at 9.00, with 50.00 in total. Stake 19.22, 15.83 and 14.95: any of the three returns 134.55, a profit of 84.55, at combined odds of 2.69. Any other score loses the 50.00.

What it does not tell you

Dutching makes the return equal, not the bet good. The combined odds carry the margin of every price in them, so dutching several fair-looking picks can still be a bet against you. Whether it is worth it depends on the real chance that one of them wins.

Common questions

What is dutching in betting?

Backing more than one selection in the same event, with stakes sized so that any of them winning returns the same profit. It turns several picks into one bet at combined odds.

How do you calculate dutching stakes?

Add up 1 ÷ odds for every selection. Each stake is your total × (1 ÷ its odds) ÷ that sum. At 3.00 and 4.00 with 100 the sum is 0.583, so stake 57.14 and 42.86, and either returns 171.43.

When is dutching worth doing?

When you expect the result to be one of a few outcomes and the combined odds are longer than the real chance of that group justifies. Correct scores and first goalscorers are common uses.

Is dutching the same as arbitrage?

The stake split is the same. Arbitrage covers every outcome at prices that add up to under 100%, so it returns a profit whatever happens. Dutching covers only some outcomes, so it can lose.

How many selections can I dutch?

As many as you like, but each extra one shortens the combined odds. Past a point, the profit if any of them wins is too small to be worth the risk that none does.

Dutching explained with a worked exampleBlog What is a correct score bet? How it works and paysBlog Implied probability in one minuteBlog DutchingGlossary Correct scoreGlossary Implied probabilityGlossary

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