Hello guys!

I tried to calculate EV of 4bet/folding with a specific hand (QTs) to choose the best action to take between flatting3bet or 4bet/fold

Let's consider this scenario:

Hero Open's 3bbs from the BTN with QTs and BB 3bet's 12 bbs.

I want to calculate if the EV of 4bet/fold QTs is better than flatting vs 3bet

Call3betsize=9 bbs
4betsize=27 bbs

Let's assume the next variables are correct:

In theory Villain's MDF vs 4bet should be >= 0,36 But actually his defense vs 4bet is = 0,55 (5bet shove =0,22 and 4betcall=0,33)

So Villain's Foldequity=0,45

Values calculated from Piosolver: (let's assume they are correct)

EV of Flatting QTs vs villain 3betrange =9,29 =>EVProfit=+0,29=>ROI%=3,2%

EV of 4bet QTs when Villain's call our 4bet (excluding foldequity preflop) = 21,25=>EVProfit=-5,75=>ROI%=-21,32%

Calculations:

Now i want to do the math of our EVProfit when we 4betFold including the Fold equity of the villain , so i use this formula:

(W%Potbefore4bet)+(L%)((4betcall%EVProfitwhen4betcall)+(5betshove%(-4betsize)))=

=(0,4515,5)+(0,55)((0,33-5,75)+(0,22(-27)))=+2,54=>ROI%=9,43%

Conclusion:

4betFold=9,43%
Flat vs 3bet = 3,2%
4betFold ROI > Flat ROI

My question is if this is the right formula and the right way to make this calculations . Thanks in advance !