You are confused by using different reference points.
There is nothing wrong with constantly using different reference points as long as you stay consistent.
Your inconsistancy caused confusing and consequently inconsistent determination of profit, losses and investment that caused in turn incorrect EV math.
Which in turn gave incorrect comparison of different strats.
Your flop calc
The reference point you used is start of flop play.
Therefore every chip in the middle before flop play by you AND every chip placed in the middle by your opponent from start of the hand is seen as profit. Meaning if opponent folds you get 40 chips.
Therefore every chip placed in the middle during and after flop play by you is seen as investment. Meaning if your opponent does not folds you loose 30 chips.
Your math and EV is correct.
In this case you proved that this strat is 5 chips better then posting your big blind and giving up 100%. Why? With this reference point, posting a big blind and giving up 100% equals an EV of 0.
Turn play.
The reference point you used is before blinds are posted; this because you wrote
Quote:
30% i loose the pot because i check fold -100
Although the exact number is incorrect; the fact you wrote -100 tells me you wanted to figure out things from start of hand. With start of hand I mean before blinds are posted.
Therefore every chip in the middle before start of hand by you (zero obviously) AND every chip placed in the middle by your opponent from start of the hand is seen as profit.
Therefore every chip placed in the middle during and after start of the hand by you is seen as investment.
Here you messed things up.
you check fold
freq= 0.30 / results = -50 (you placed 50 chips in the middle since start of hand because the turn pot size is 100)
you bet and win
freq=0.7*0.25 / results = +80 (opponent placed 80 chips in the middle since start of hand; 50 because turn pot size is 100 + 30 because you betted 30 and saw a call)
you bet and loose
freq=0.7*0.75 / results = -80 (you placed 80 chips in the middle since start of hand)
sum of above = 0.3*(-50) + 0.7*0.25*80 +0.7*0.75*(-80)= -36.3
Placing a big blind from start of hand costs you 20 chips. Meaning placing a big blind from start of hand and then giving up 100% of the time results into -20.
And such the above proves that this strat is 16.3 chips worse then just posting your big blinds and giving up 100% of the time.
Both strats combined teach us that we clearly want to use the flop strat (for because see up) but do not want to use the turn strat (because the turn strat is just worse then posting a big blind and then giving up 100% of the time).
However the above sentance is comparing with to posting a blig blind and giving up 100% of the time.
We actually want to figure what the min required EV has to be of any turn strategy after you applied the flop strategy. This is easy; your flop strategy is 5chips better then posting big blind and 100% giving up.
Consequently wathever turn strategy you want to use (with turn starting stacks of 100) has to perform min 5 chips better then posting the big blind and 100% giving up; if not you were better off by just using your flop strategy and then giving up.
Read through above and think each time clearly about your reference points. Once use of correct reference points sinks in; the math becomes easy.