III. Push Equity Analysis

Let us consider the following example. All the calculations are done in big blinds. Suppose we have АcКd as pocket cards and a stack of 100 big blinds (BB); opponent`s stack has the same size of 100 BB. Opponent Villain makes a raise of 3 BB. We are positioned after him and make reraise of 10 BB. Everyone fold, and Villain makes a 4bet of 25 BB. We may think about all-in. So, we need to see Villain 4bet range. But unfortunately, we do not have the statistics. Therefore we make a reasonable suggestion and learn how we can work with text forms rather than range percents. We suppose Villain plays 4bet with cards such as 99+ or AQ+. We enter this text range to Action Opp field. This is why this field is wider than the others. We press Equity and calculate our equity against this range. Then enter Pot Size before opponent action 14.5 BB and BetSize Opp 25. We press EV Call and see call is not profitable. But let us consider push option. Check All-in. As result the program window changes a little in it bottom part.

 

Fig.3-1 All-in window

 

Fold and Reraise fields disappear, while the new field Call appears. Is it clear if we go all-in, then reraise is not possible. We enter opponent call range in Call field. Suppose that Villain will call only with very strong hands like QQ+ or AK. The program will find out share of this range from initial 4bet range 99+, AQ+, then the program calculates fold-equity and uses this value for EV calculation.

We have 90 BB in our stack and we enter this integer to Bet Size Hero. All the information is entered, now press EV. You can see results in fig.3-2.

 

Fig.3-2 Results for EV all-in

 

So, the push is profitable.

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