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Old 09-01-2007, 06:00 PM
jay_shark jay_shark is offline
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Join Date: Sep 2006
Posts: 2,277
Default Re: Calling range for opponent who has gone all in first 4 hands in a row

His range is pretty much any two cards . My intuition tells me you should call with something in the top 10% of all hands and probably closer to the top 15% of all hands .

Our equity if we call with the top 10 % of all hands is approximately :

On average you'll lose 5 bb's and 4 sb's or 5 sb's 4 bb's and call on the tenth hand .

You'll be down to 1360 or 1370 depending on which position you start from and call on the 10th hand with an average equity of 67.8% .

1370*2*0.678 = 1857.72 or 1360*2*0.678 = 1844.16

If you employ this strategy your equity should be just under 1857.72/3000=61.9%

If you call with any hand in the top 20% then your equity should be :

1500-2*(10+20) = 1440 which means you'll lose the blinds on average 4 times before you call .

1440*2*0.6345=1827.36 since the top 20% of all hands wins 63.45% of the time . Notice that this number is less than your equity for calling with the top 10 % . So your optimal calling range must be less than the top 20 % of all hands .

I'm guessing something in between 10 and 20 .
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