Dutching Calculator

How it works

stake on selection i = total × (1/dᵢ) ÷ Σ 1/dⱼ · return = total ÷ Σ 1/dⱼ (the same for every selection) · combined odds = 1 ÷ Σ 1/dⱼ · profit = return − total

Dutching backs several outcomes of the same event — say three horses in a race or a few correct scores — with stakes sized so each winner returns the same amount. It turns several long prices into one shorter "combined" price on the group. Staking each selection in proportion to its implied probability does this; the combined implied probability is the chance the market gives that one of your picks wins. If none of them wins, the whole stake is lost.

Worked example

Dutching $100 across horses at 4.0, 5.5 and 8.0: the implied probabilities are 25%, 18.18% and 12.5%, adding to 55.68%, so the combined odds are 1.80. Stake $44.90, $32.65 and $22.45; whichever horse wins returns $179.59, a profit of $79.59.

Sources: Wikipedia — Mathematics of bookmaking · GamCare — Support

Frequently asked questions