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Old 03-31-2007, 03:48 PM
SimaoMacaco SimaoMacaco is offline
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Join Date: Jan 2007
Location: FTP
Posts: 487
Default Question on basic probability and Ev

Could somebody please comment on validity of the following analysis of EV for me please:
________________________________________
Game is NL holdem
Villain range is {55, 22, KQs, KQo}
Hero has 8c7c
Board is Qc2c5cKd

Hero equity at Turn = 0.82273
Villain equity at Turn = 0.17727[/i]

Turn (Qc2c5cKd)
Villain bets $8 into $14 pot, Hero to act
Effective remaining stacks after bet is $32.7
________________________________________

Option 1:
..Hero calls and pushes river (Hero folds perfectly when beaten)
..villain folds river 0.4, calls 0.6

(0.82*22)-(0.18*8) = 16.6 << Value at turn
(16.6*0.4)+(32.7*0.6) = <font color="red">36.22</font> &lt;&lt; includes river push &amp; fold %


Option 2:
..Hero pushes turn
..villain folds 0.5, calls 0.5

(0.82*54.7)-(0.18*40.7) = 37.5 &lt;&lt; value of push
(37.5*0.5)+ (0.5*22) = <font color="red">29.75</font> &lt;&lt; includes fold %

________________________________________

So it appears Option 1 is more EV.. however.. this assumes that Hero can fold perfectly when beaten..

If villain folded the best hand 20% of the time on the river his EV would be 0.8*36.22 = 28.97
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