A equation for on the flop vs a c-bet

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twohaha

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Hi all, I was wondering if anyone has any suggestions for these formulas I came up with for this situation.

Assume you are in position, against a player who is c-betting into you. Which play is the most profitable?

Folding:

FoldEV=0BB

Calling:

P: Pot size (in BB)
B: Bet size (in BB)
E: equity after calling*

CallEV= (2B+P)*E-B(1-E)

*Things get tricker when the opponent calls. One can simply estimate the opponent's range (using like hold'em manager or something) and find the equity of your hand vs the opponent's calling range (using something like Equilab). However, this fails to take into consideration what will happen on the turn, where you can outplay your opponent. I would love to know if there is a better way of estimating the equity.

Raising (assuming we fold to re-raise)

P: Pot size (opponent bet + dead money)
F: Opponent fold to raise (%)
B: Raise size
C: Opponent call raise (%)
E: Equity when opponent calls the raise*
R: Opponent re-raise (%)

RaiseEV= F*P+C(E*(P+B)-(1-E)*B)-R*B

*Same as the equation for calling, equity is inaccurate. Also, this formula doesn't describe the case if we had a monster hand, since we aren't folding even if you don't get reraised, or if the opponent reraises light.

Are there are errors, or do you have any suggestions that addresses these problems?
Thanks!
 
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