The Dutching Calculator: Formula, Examples & How to Use It

What Is the Dutching Formula?

The core principle of dutching is simple: distribute your total stake across multiple outcomes so that your net return is identical regardless of which outcome wins. To do this mathematically, you use the inverse of each outcome's odds.

The formula for any single outcome's stake is:

Or expressed more simply, step by step:

1. Calculate the inverse of each outcome's decimal odds (i.e., 1 / decimal_odds)
2. Add all those inverse values together to get the sum of inverse odds
3. Divide each inverse by that sum
4. Multiply the result by your total stake for that round

The key insight is that (1 / odds) represents your "share" of the market — a 2.00 odds outcome has an implied probability of 50%, so it should receive 50% of your total stake.

Worked Example: 3-Outcome Football Match

Let's apply the formula to a Premier League match:

Manchester United vs Liverpool  |  Odds:

• Home Win (Man Utd): 2.10
• Draw: 3.50
• Away Win (Liverpool): 3.80

Our total stake for this market is £100.

Step 1 – Calculate Inverse Odds

• Home: 1 / 2.10 = 0.4762
• Draw: 1 / 3.50 = 0.2857
• Away: 1 / 3.80 = 0.2632

Step 2 – Sum of Inverse Odds

0.4762 + 0.2857 + 0.2632 = 1.0251

Note: This sum is above 1.0 (i.e., 102.51%). The 2.51% above 100% is the bookmaker overround — the built-in margin. After accounting for it, your profit on a winning outcome will be slightly reduced compared to the "even" scenario. This is normal and expected.

Step 3 – Calculate Individual Stakes

• Home Win: (0.4762 / 1.0251) × £100 = £46.45
• Draw: (0.2857 / 1.0251) × £100 = £27.87
• Away Win: (0.2632 / 1.0251) × £100 = £25.68

Total staked: £46.45 + £27.87 + £25.68 = £100.00 ✓

Step 4 – Verify Payouts

• Home wins: £46.45 × 2.10 = £97.55 (loss of £2.45 — the overround)
• Draw wins: £27.87 × 3.50 = £97.55
• Away wins: £25.68 × 3.80 = £97.55

Every outcome returns £97.55. The £2.45 difference from your £100 stake is the bookmaker's edge on this market. On an exchange with a 0% overround (like Betfair at its most liquid), every outcome would return exactly £100 minus commission.

Why the Overround Matters

Most high-street bookmakers build in an overround of around 105–110%. On a 3-outcome football market, this means dutching at traditional bookmakers will always produce a small guaranteed loss if you back all outcomes. This is fundamentally different from arbitrage, where price discrepancies between bookmakers can eliminate the overround.

The solution? Use betting exchanges (Betfair, Smarkets) for dutching. Exchange odds are much closer to true probability, and the overround is typically only 1–3%. This makes dutching far more viable as a long-term strategy.

When you dutch at a traditional bookmaker with a 108% overround, your expected return is roughly 92.6% of your stake. On an exchange with a 102% overround, your expected return is 98% of your stake — a dramatic improvement. For serious dutchers, the exchange commission (typically 2–5%) is still more favourable than the bookmaker's built-in margin. Our Lay Dutching on Betfair guide explains how to minimise commission costs while dutching on exchanges.

When Should You Use a Dutching Calculator?

A dutching calculator is not just a convenience — it is a necessity whenever you are backing more than one selection in the same market. Without precise stake calculations, you risk over-exposing one outcome and under-exposing another, which defeats the entire purpose of dutching. Here are the most common scenarios where a dutching calculator saves time and money:

• Horse racing with multiple value runners: You identify two or three horses in the same race that are overpriced. Rather than betting your full stake on one, you dutch across the value selections to spread risk.
• Football correct score: You predict a low-scoring match. Instead of a single Under 2.5 goals bet, you dutch 0-0, 1-0, and 0-1 at better combined odds.
• Tennis set betting: You believe a player will win but are unsure whether it will be in straight sets or three sets. Dutching 2-0 and 2-1 covers both scenarios.
• Golf each-way dutching: You select 4–6 golfers you believe are undervalued, each-way terms mean you profit if any place, and a calculator ensures your stakes are balanced across the field.
• Political betting: Dutching multiple candidates in an election where polling is volatile but you have insight into local factors.

In every case, the calculator ensures your stakes are mathematically optimal. Guessing stakes — even approximately — will produce unequal returns and erode your edge over time.

Second Worked Example: Horse Racing Dutch

Let us apply the calculator to a six-runner horse race where you believe three horses are overpriced:

• Horse A: 4.50
• Horse B: 6.00
• Horse C: 8.00

Total stake: £50.

Step 1 — Inverse Odds

• Horse A: 1 / 4.50 = 0.2222
• Horse B: 1 / 6.00 = 0.1667
• Horse C: 1 / 8.00 = 0.1250

Step 2 — Sum of Inverse Odds

0.2222 + 0.1667 + 0.1250 = 0.5139 (51.39% implied probability — excellent value)

Step 3 — Individual Stakes

• Horse A: (0.2222 / 0.5139) × £50 = £21.62
• Horse B: (0.1667 / 0.5139) × £50 = £16.22
• Horse C: (0.1250 / 0.5139) × £50 = £12.16

Total staked: £21.62 + £16.22 + £12.16 = £50.00 ✓

Step 4 — Verify Payouts

• Horse A wins: £21.62 × 4.50 = £97.29
• Horse B wins: £16.22 × 6.00 = £97.32
• Horse C wins: £12.16 × 8.00 = £97.28

Every outcome returns approximately £97.30 — a 94.6% return on your £50 stake. The small variation (£0.04) is due to rounding in the manual calculation; the calculator eliminates this entirely. At an exchange with lower overround, your return would be closer to 98%.

Compare this to betting £50 on Horse A alone: if A wins, you collect £225, but if B or C wins, you lose everything. Dutching trades the jackpot for consistency — and consistency is what builds long-term profit.

Dutching Calculator Tips for Best Results

Using the calculator is straightforward, but these tips will improve your results and protect your bankroll:

• Always check the overround: Before placing any dutch, add the inverse odds manually. If the sum exceeds 0.90 (90% implied probability), you have genuine value. If it exceeds 1.00, you are dutching into negative expected value — avoid it unless hedging an existing position.
• Use decimal odds only: The calculator works with decimal odds. If your bookmaker shows fractional odds (e.g., 5/2), divide the first number by the second and add 1: 5/2 = 2.5 + 1 = 3.50. American odds (+150 = 2.50; -200 = 1.50) require the same conversion.
• Round stakes to bookmaker limits: Most bookmakers accept stakes to two decimal places. Round each stake to £0.01 precision. If a book only accepts whole pounds, round and accept small payout variance — the difference is usually pennies.
• Double-check before confirming: One transposed digit in the odds input can destroy your dutch. Always verify the odds on your betslip match the calculator output before confirming.
• Record every calculation: Save screenshots or notes of your calculator inputs and outputs. When reviewing your records, this helps identify whether your edge was genuine or variance.
• Account for exchange commission: If dutching on Betfair, subtract 2–5% commission from your expected return. A £100 return becomes £95–£98 after commission. Our Lay Dutching guide covers commission structures in detail.

Try the Dutching Calculator

Enter up to 5 outcomes below. Fill in the decimal odds for each and your total stake. The calculator will instantly show you how much to put on each outcome.