Dutching, Explained

After reading this you will be able to split one stake across several selections so your profit is the same whichever one wins, and to tell when that split is worth making at all.

What dutching is

Dutching means backing more than one outcome in the same event, and sizing each bet so the return is identical no matter which of your selections wins. You pick a total stake, and the calculator divides it in inverse proportion to the odds. Longer shots get less money, shorter shots get more, and the payouts line up.

Suppose a three-horse market offers decimal odds of 3.5, 5.0 and 8.0 on the runners you like. Bet on all three and one of them might win. The trick is to stake so that the winner, whichever it is, returns the same amount. Put the right split on a total of 100 and each outcome returns about 105.60, a flat profit near 5.60 whenever any of the three wins.

The name comes from the American gangster Arthur Flegenheimer, known as Dutch Schultz, whose people reportedly used the method at the track. The math is older and simpler than the story.

When to use it, and when not to

Dutching fits a few clear situations. You want to cover several runners you rate as live but cannot separate. You want a single known profit rather than a large payout on one pick. Or you want to fold two or three positive-value bets into one flat return.

It does not create an edge on its own. If the combined implied probability of your selections is above 100%, dutching locks in a loss. The method only redistributes risk. It cannot turn a bad market into a good one.

Dutching one full market (every runner in a race) is the same as betting against the bookmaker's overround. Because the built-in margin pushes the total implied probability above 100%, you are guaranteed to lose. Dutching pays only when you back a subset whose combined implied probability stays under 100%.

The formula and the intuition

Decimal odds o_i imply a probability p_i = 1 / o_i. To equalise profit, stake each selection in proportion to its implied probability. The stake on selection i from a total stake S is:

s_i = S \cdot \frac{1 / o_i}{\sum_{j} 1 / o_j}

Here s_i is the money placed on selection i, o_i its decimal odds, and the denominator is the sum of every selection's implied probability. Call that denominator the book sum:

B = \sum_{j} \frac{1}{o_j}

Because each selection returns s_i \cdot o_i and every s_i o_i works out equal, the common return is R = S / B. Your profit whichever selection wins is:

\text{profit} = \frac{S}{B} - S = S \cdot \frac{1 - B}{B}

The whole outcome hinges on B. If B \lt 1, profit is positive. If B = 1, you break even. If B \gt 1, you lose. The margin above 100% is the overround, which the Vig Remover isolates for a full market.

Worked example with the demo data

Three selections at 3.5, 5.0 and 8.0 with a 100 stake

Convert each to implied probability: 1/3.5 = 0.2857, 1/5.0 = 0.2000, 1/8.0 = 0.1250.
Add them for the book sum: B = 0.2857 + 0.2000 + 0.1250 = 0.6107. Since B \lt 1, a profit exists.
Split the 100 stake in proportion. First selection: 100 \times 0.2857 / 0.6107 = 46.78. Second: 100 \times 0.2000 / 0.6107 = 32.75. Third: 100 \times 0.1250 / 0.6107 = 20.47.
Check the returns. First: 46.78 \times 3.5 = 163.7. Second: 32.75 \times 5.0 = 163.7. Third: 20.47 \times 8.0 = 163.7. All equal, as intended.
Common return: 100 / 0.6107 = 163.7. Profit: 163.7 - 100 = 63.7.

The flat profit is about 63.70 on 100 staked, a return of roughly 63.7% whichever runner wins. That large edge comes entirely from the low book sum of 0.6107. In a real market you rarely see numbers this generous. It appears here because these three odds were chosen freely, not lifted from a priced-up book.

Stakes shrink as odds lengthen, but every return matches at 163.7.

Reading the result

Three numbers tell you what you need. The individual stakes are what to place on each selection. The common return is what any winning selection pays back. The profit is that return minus your total stake, and it repeats on every winning outcome.

Watch the book sum most of all. It doubles as your break-even signal and your yield. A book sum of 0.95 gives a return of 1/0.95 = 1.0526, or 5.26% profit. A book sum of 0.98 gives 2.04%. A book sum of 1.02 gives a 1.96% loss. The relationship is not linear near 1, so a small move in B swings your profit sharply once you are close to break-even.

Profit crosses zero at a book sum of 1.00 and rises fast as the sum falls below it.

Common mistakes

The first mistake is dutching a whole market and expecting profit. Every priced book carries an overround, so backing all runners guarantees the book sum exceeds 1 and you lose the margin. Dutching only works on a chosen subset.

The second is confusing dutching with arbitrage. Dutching splits across selections in one market at one bookmaker. Arbitrage splits across opposing outcomes at different bookmakers to lock a profit from price differences. If you want the cross-book version, use the Arbitrage Calculator.

The third is rounding stakes to whole units without rechecking. If the demo split of 46.78, 32.75, 20.47 becomes 47, 33, 20, the returns drift apart: 47 \times 3.5 = 164.5 versus 20 \times 8.0 = 160. Your profit is no longer flat. Round if you must, then accept the small imbalance or adjust one stake.

The fourth is treating the flat profit as free money. The profit is real only if at least one selection wins. If none does, you lose the entire stake. Dutching guarantees an equal payout across winning outcomes, not across all outcomes.

Related tools

To turn American or fractional prices into the decimal odds this method needs, use the Odds Converter. To judge whether a single selection is worth backing before you fold it into a dutch, the Expected Value Calculator gives edge and break-even probability. If you would rather multiply selections than spread across them, the Parlay Calculator combines odds and payout. To lock profit on a bet already placed, see the Hedging Calculator, and for place-inclusive returns the Each-Way Bet Calculator.

Frequently asked questions

Does dutching guarantee a profit?

Only when the combined implied probability of your selections is below 100%, and only if one of them wins. With a book sum of 0.95 you profit 5.26% on a winning outcome, but you still lose everything if all selections lose.

How many selections can I dutch?

Any number, but each one you add raises the book sum. Two selections at 3.0 and 3.0 give a book sum of 0.333 + 0.333 = 0.667. Add a third at 3.0 and the sum rises to 1.0, wiping out the profit. More coverage means less margin.

What is the difference between dutching and hedging?

Dutching sizes several bets before the event so any winner pays the same. Hedging places a bet against a position you already hold, often after prices move, to secure or protect a result. Dutching starts flat, hedging fixes an existing bet.

Why do my stakes come out uneven?

Because shorter odds carry higher implied probability and need more money to reach the same return. At 3.5 you stake 46.78, at 8.0 only 20.47. The uneven split is what makes every payout equal.

Can I dutch across different bookmakers?

You can place each leg wherever the odds are best, and that lowers your book sum. Once you are backing opposing outcomes rather than same-event selections, though, you are doing arbitrage, and the arbitrage tool models it more directly.

Try it yourself in the tool