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Old 09-22-2006, 09:13 PM
ByronJacobs ByronJacobs is offline
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Join Date: Aug 2005
Posts: 52
Default Can anyone explain this??

Two Dimes gives the following match up

cards win %win lose %lose tie %tie EV
As Js Jc Ah 337173 67.43 162106 32.42 721 0.14 0.675
Qs Ts Kd Jd 162106 32.42 337173 67.43 721 0.14 0.325

This looks OK. But if you now add in the hand 6s 2s 5c 4c you get

cards win %win lose %lose tie %tie EV
As Js Jc Ah 153617 30.72 345585 69.12 798 0.16 0.308
Qs Ts Kd Jd 163978 32.80 335224 67.04 798 0.16 0.329
6s 2s 5c 4c 181607 36.32 318393 63.68 0 0.00 0.363

with the addition of the 2456 hand, the TJQK hand now wins more in absolute terms: instead of 32.5% he now wins 32.9%. As far as I can see this is simply impossible. Of course your relative chances (ie equity) can improve with the addition of another hand but surely you cannot suddenly win win more pots (??). To me this feels like a mathematical impossibility.

Can anyone explain??
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