July 16, 2009

Calling Range vs Bluffing Range

So following on from yesterdays post about fold equity I wasn’t exactly sure how to apply it to my game. So after thinking about it for a day I came to the conclusion it was down to hand combinations. If he is willing to check raise then bet again on the turn enough hands as a bluff that he will fold 39% of the combinations to a shove then the move becomes profitable.

So I have to estimate his check raising range count the combinations. Then count the combinations of hands I have said he will call my shove my and work out the percentage of hands he folds. Hopefully the difference will be higher than 39% meaning it was a profitable shove.

I’m not exactly sure if that is right, it sounds it but could be total rubbish. But anyway the hands I have decided he could check raise with are:

TT 6
88 6
77 6
66 6
44 6
33 6
22 6
AJs 3
ATs 3
A9s 3
KTs 2
KJs 2
KQs 2
QTs 3
QJs 3
J9s 3
JTs 4
T9s 3
98s 3
AJo 9
ATo 9
KTo 6
KJo 6
KQo 6
QTo 9
QJo 9
JTo 9

139 combo’s

This is quite a loose range maybe, basically I have him check raising any pair on that board including under pairs he holds. This could be a pretty wide range as he might not check raise every under pair as a bluff, nor a 9 for example. But hopefully this will make up for the complete bluff check raises that he could make holding hands I havent included. I guess with more experience this is where you have a better idea of hand ranges, but for now I think this will do.

And his already mentioned calling range contains:

99 3
KQs 2
K9s 2
QsJs 1
QsTs 1
Q9s 2
JTs 4
8s7s 1
8s6s 1
7s6s 1
KQo 6
JTo 12

36 combo’s

So 36/139 = 25% Meaning he is calling with 25% of hands and folding 75% making it a profitable shove.

As mentioned I’m not exactly sure how accurate this is because I think I have given him a far far to large check raising range, but I think as an excercise in getting my head around the math it works ok.

Hopefully I havent made any glaring errors and can get a couple of responses with where I’ve gone wrong if I have.

Posted By GilgUK at 11:01 AM

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