Thread: I am a genius!
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Old 12-09-2005, 12:44 PM
DavidC DavidC is offline
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Join Date: Aug 2004
Location: Ontario, Canada
Posts: 292
Default Re: I am a genius!

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To solve for two variables you need two different equations. The different sides of the equal sign will always be equal so you want to end up with x = ? and y = ?.

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Cool...
y=147%? crap! [img]/images/graemlins/smile.gif[/img]


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x+y=1
x=1-y

0.55x+0.18y=0.35
0.55(1-y) + 0.18y = 0.35
0.55 - 0.55y + 0.18y = 0.35
0.2 = 0.37y
y = 0.2/0.37 = 54%

Therefore if your opponent has an overpair less than 54% of the time, you're making money on this call.

Edit: I have no idea why this worked and my first x+y=100 didn't work. [img]/images/graemlins/frown.gif[/img] However, I think this is the right answer.

Thanks guys. (If I'm wrong, please let me know.)

re-edit: A quick check:
0.55x+0.18y=0.35
0.55(0.46)+0.18(0.54)=0.35?
Indeed it does... sweet.
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