2-Horse Dutching Formula

2-Horse Dutching Formula Horse

Odds to 1

Bet

A B

Oa Ob -------------

Ob+1 Oa+1

Total bet

Example ** times 2 to make a whole number 2 to 1 = 2 bet 4.5 or 9** 7 to 2 = 3.5 bet 3 or 6 -------

Oa+Ob+2

Payoff

(Oa+1)(Ob+1) -------------

Profit

Oa Ob -1

7.5 4.5x3=13.5 ------

Oa = 2

27 ---

6 12 IF either A or B wins: a profit of 12 on a bet of 15: 80%

Equivalent Odds (= Profit / Bet) = (Oa Ob -1)/(Oa+Ob+2) Example

15

Ob = 5

E.O. >= 1 iff Oa Ob – (Oa+Ob) >= 3

=>

4 to 5 = 0.8

E.O. = 2 x 5 -(2+5) = 3 3.5 x 2 – (2+3.5) = 1.5

BCS April 2013 **************************************