Preflop maths for coldcalling

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Posted by posted in Low Stakes

Preflop maths for coldcalling

*** MOD: Moved to Small Stakes [2013-10-31 9:20 CET] ***

Problematic:
What minimum equity does my hand need to have in order to coldcall ?

Notes:
1) Original raiser open 3bb
2) Both player are not in blinds (Thus postflop pot = 7.5bb)
3) I always fold my hand to a squeeze

Terminology:
X = % of times I see the flop = 80% in this case
1-X = % of times the pot is squeezed and I fold preflop = 20% in this case
R = Realized Equity = 100% in this case
E = Equity of my hand versus the range of the open raiser

Formula:
X    * (R * E * 7.5bb - 3bb) + (1-X)    * (-3bb) = 0
.80 * (1  * E * 7.5bb - 3bb) + (1-.80) * (-3bb) = 0

E = needs to be roughly 67% and higher to profitably cold call

Is this correct ? Am I making a mistake somewhere ? Is this a good method to help establishing preflop coldcall ranges ?

Thanks for helping.


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