Example: 400NL. Opponent with $160 raises to $16. I am the only caller in SB with
![The Eight of Clubs [8c]](https://www.pofex.com/images/smilies/8c.gif)
[7c]. Flop is
![The Queen of Clubs [Qc]](https://www.pofex.com/images/smilies/Qc.gif)
[5c][2h]. I check, opponent bets pot, $40 (1 player posted to play - and let’s ignore the rake). I checkraise all in - another $104.
I risk $144 to win $80.
I think he will call with KK, AA,
![The Ace of Clubs [Ac]](https://www.pofex.com/images/smilies/Ac.gif)
[Kc], AQ and KQ (I don’t think he has QQ) and fold everything else. Against these hands my pot equity is 36% - I win 36% of the times when he calls (poker stove). If he calls the pot will be 80+144+104= $328
How often shall my opponent fold to make this play break-even for me.
I think this is the simplest formula is this (this is not a formula I have come up with):
F = (B - E) / (Pf - E)
where
F = break-even probability of opponent folding
B = amount of hero's bet (or, if raising, amount of call + raise)
Pf = pot size when opponent folds, including hero's last bet
E = equity in pot when called (in terms of $s, not %) )
B =144
Pf = 224
E: 0.36*328 = 118.08
F = (144-118.08) / (224-118.08)
F = 0.245 = 25%
For my push to be +EV my folding equity needs to be 25%+. If he on average folds more than 25% of the time the play is +EV. 25% sounds low, but in the hand he actually called with AQ and I don’t know if he would make that flop bet with AK or JJ. I‘m not proud of how I played the hand, but it’s a good example.
Obviously I didn’t do these calculations during the hand. But when you semi bluff it’s good to know roughly, how often you will win if called, and how big a folding equity you need to break even with your play. This is also true when the semi bluff is not an all in move.
If you want to do the math on other hands, Iceman posted an interesting hand -
forum/viewtopic.php?t=5773:
Effective stats $1K. Hero raises to $40 with 65s. Two callers, $125 in pot on flop - T43r. One of the callers bet $120. Hero raises all in. If called hero’s equity is, let’s say 32 % (33-44, TT-QQ).
At what folding equity is this a break-even play for hero?