Dutching Calculator

Split a stake across several selections in the same event so you win the same amount whichever one comes in, using decimal odds.

A dutching calculator splits your stake across multiple selections in the same event so that every backed outcome returns the same amount of money if it wins, using decimal odds.

What Is Dutching?

Dutching means backing more than one outcome in the same event so that your return is the same whichever of your selections wins. Unlike an arbitrage, which covers every outcome and is risk-free, dutching does not have to cover every outcome, so it is not risk-free: if none of your backed selections wins, the whole stake is lost. The appeal is that dutching lets you pick your preferred outcomes and ignore the rest, all while guaranteeing an equal return across the selections you have backed. Instead of choosing one outcome and accepting the odds offered on that single selection, you can hedge your decision across several selections with a calculated stake split.

The core logic is elegant: different odds mean different probabilities, so different stake amounts are needed to produce equal returns from each selection. A 2.50 price and a 3.40 price cannot both return the same amount from identical stakes; instead, you back the shorter odds with a larger stake and the longer odds with a smaller stake, so that when multiplied by their respective odds, both return the exact same figure. This is dutching.

How Dutching Odds Are Calculated

Dutching stake splits are calculated by converting each selection’s odds into its 1/odds reciprocal, summing those reciprocals, then dividing each reciprocal by the total to find each selection’s proportion of the overall stake. The formula is straightforward: for each selection, stake = (1/odds) / sum(1/odds of all selections) × total stake. Every backed selection then returns total stake / sum(1/odds). The profit is simply that return minus your total stake.

The math ensures that if any of your backed selections wins, you pocket the same amount no matter which one comes in. If none of them wins, you lose the entire stake. This is the key difference from arbitrage: you are deliberately betting that at least one of your backed outcomes will occur, and you are consciously accepting the risk that none of them do. The calculation works the same way whether you are backing two selections or ten; the stake split always produces equal returns on each backed outcome, making dutching a flexible strategy for expressing conviction across a range of outcomes.

The beauty of dutching is that it frees you from having to commit to a single selection. Instead of choosing one outcome and accepting the odds on that choice alone, you can identify several likely outcomes and back them all with calculated stakes that guarantee the same return. This approach is particularly useful in volatile or uncertain markets where you feel several outcomes are plausible.

What the Calculator Shows You

Enter the decimal odds for each selection you want to back and your total stake in euros, and the calculator returns five key figures. Stake on each selection is the calculated amount for that outcome, derived so that all backed selections return the same total. Equal return is that amount for each selection if it wins. Total staked is simply your overall investment across all backed outcomes. Profit if any backed selection wins is the equal return minus your total stake — the net gain if one of your picks comes in. Loss if an uncovered outcome wins shows the downside: if any outcome you did not back wins, you lose your entire stake. The calculator assumes you have consciously excluded at least one outcome from the market.

Worked Example

Take a 1X2 match market where you want to back Home and Draw but leave Away uncovered, with a €100 total stake. The Home win is priced at 2.50 and the Draw at 3.40. Because these odds are different, different stakes are needed to produce equal returns.

The calculator splits the €100 stake into two unequal parts. The Home stake is €57.63. The Draw stake is €42.37. These must return the same amount when multiplied by their respective odds: €57.63 × 2.50 = €144.07 and €42.37 × 3.40 = €144.07. The split is precise because it accounts for the probability implied by each price. If either Home or Draw wins, you collect €144.07, giving you a profit of €144.07 − €100 = €44.07. If Away wins, you lose the entire €100 stake. This is the core of dutching: if one of your backed selections comes in, you win the same amount; if an uncovered outcome wins, you lose everything.

Stake Split and Return

The power of dutching lies in the stake split: different odds require different stake amounts to produce the same return. The table below shows exactly how a €100 stake is divided between Home at 2.50 and Draw at 3.40, and the resulting returns.

Notice that the Home stake (€57.63) is larger than the Draw stake (€42.37). This is because 2.50 is a shorter price than 3.40, so it needs a larger stake to produce the same return of €144.07. Both selections yield an equal return if they win, which is the entire point of dutching. This stake split is calculated precisely using the 1/odds reciprocal of each selection, ensuring that the maths works exactly and both backed outcomes deliver the same profit.

Implied Probability of the Two Backed Outcomes

The implied probability of each backed selection reveals the expected likelihood of that outcome, and these probabilities determine the stake split. The table below shows how each price converts to its implied probability.

Uncovered Outcomes

Dutching exposes you to the outcomes you have chosen to leave out, and this is the most important concept to grasp. Here, backing Home and Draw leaves the Away win completely uncovered: if the away side wins, the full €100 stake is lost in its entirety. There is no partial recovery, no partial return — you lose everything. This is the fundamental difference between dutching and arbitrage. An arbitrage covers every outcome in a market and returns profit regardless of which one occurs; a dutch does not. You are making an active choice to exclude certain outcomes, and that choice comes with the real risk of total loss.

The more outcomes you leave out of a dutch, the higher the equal return becomes if one of your backed selections wins, but the greater the chance of losing everything. In a 1X2 market, leaving one outcome out is common and manageable; the three outcomes are clearly defined and you can make an informed decision about which ones are likely. In a market with many possible outcomes — injury outcomes, specific scoreline markets, tactical markets — leaving several out concentrates risk on the scenarios you have excluded. You might have a strong reason to exclude the 3–3 draw or the away win by exactly one goal, but if that outcome occurs, your entire stake is gone.

Before placing a dutch, pause and ask yourself: which outcome or outcomes am I leaving unprotected, and am I genuinely confident enough to stake my entire €100 on the belief that none of them will occur? If the answer is not an emphatic yes, reconsider the dutch or reduce your stake size.

When Dutching Makes Sense

Dutching is a useful middle ground between picking a single outcome and backing everything. It is most useful when you have genuinely ruled out one or more outcomes based on research and are confident about the selections you have chosen. Dutching a 1X2 market by backing Home and Draw and leaving Away out is sensible only if you have strong reasons to think the Away win is unlikely. Before you dutch, ask yourself: which outcomes am I willing to exclude from this market, and why? If you cannot answer that question, dutching is not the right strategy.

The profit margin in a dutch depends on the combined implied probability of your backed selections. The lower that combined probability, the higher your profit margin becomes. When you back just two outcomes, your edge can be substantial; when you back many outcomes, your edge shrinks because you are covering most of the market without the risk-free guarantee that arbitrage provides. The fewer selections you back, the bigger your edge if one of your picks wins, but the greater the risk if an uncovered outcome occurs. This risk-reward trade-off is central to dutching strategy, and the calculator helps you understand it by showing both the profit if you are right and the total loss if you are wrong.

Common Mistakes

Backing so many selections that the guaranteed return drops below the stake is a silent killer — you are winning but losing money. Forgetting that an uncovered outcome loses the entire stake leaves you exposed without realising it; always check what you have left out. Staking equal amounts instead of in proportion to each price means different outcomes return different amounts, defeating the purpose of dutching. Confusing dutching with arbitrage is a common error: dutching is not risk-free, because it does not cover every outcome in the market.

Dutching vs Arbitrage

The key differences between these two stake-splitting strategies come down to coverage and risk.