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Duval
04 Mar 10 21:53
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Date Joined: 22 Feb 03
| Topic/replies: 5 | Blogger: Duval's blog
I used to be able to do this but have lost an old spreadsheet and can't remember how I got the formula

I want to calculate a dutch lay on three horses say at 3.0 5.0 & 8.0 so that my total liability is exactly £100 for all three. I know that those totals added together is approx 2.47 (i can work that out) but can't get the liability right.

Any takers to ease my pain?
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Report Duval • March 4, 2010 10:11 PM GMT
Sorry, odds are 5 8 & 13

Dutched price is 2.49
Report bongo • March 4, 2010 10:40 PM GMT
Assuming the numbers 5,8 and 13 are in cells A1,A2,and A3 then
=1/(1/A1+1/A2+1/A3)
gives you the answer
Report Duval • March 4, 2010 10:48 PM GMT
Thanks for the reply bongo but as I said I know how to get that answer, it's the stake that I need to work out so that if I put £33.44 on H1 and £20.90 on H2 and £12.86 on H3 then my total liability on all three is £100 - it's getting those wages that I am struggling on
Report Duval • March 4, 2010 11:12 PM GMT
I worked it out! it doesn't look good but it goes like this
if
Cell L5=5
Cell L6=8
Cell L7=13
Then
=100/(((100+(100/(L6/L5))+((100/(L6/L5))/(L7/L6)))*(1/(1/L5+1/L6+1/L7)-1))/100)
gives me £33.440514 to lay on the first Horse
I can work out the other stakes from there.
But if anyone else can make it easier I would appreciate it
Report Bayes. • March 4, 2010 11:30 PM GMT
If x, y and z are the odds....

then...

b = 100xz/(z((x-1)(y-1)-1)-xy)
Report Bayes. • March 4, 2010 11:33 PM GMT
I guess a and c follow symmetrically
Report Bayes. • March 4, 2010 11:35 PM GMT
ie. numerators are a=100yz... and c =100xy... (denominator the same)
Report Duval • March 5, 2010 11:33 PM GMT
Thanks Bayes

That did the trick cheers
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