I am only going off chipEV here because I don't know how to do ICM calculations. Also if there's errors in my calculation
Hypothetical Scenario:
UTG w 10k chips (500/1000, 10bb, shortest stack at table)
2 
2 
If the average calling range of the table is AT+,77+ (8.45%)
47% equity when called
P(fold) of any one opponent = 91.55% = (100-8.45)
P(fold) of 8 opponents = 49% = (.9155^8)
Avg winnings when called and win = 11312.5 @ 47% frequency
Losses when called and lose = 10000 @ 53% frequency
EV = .51(.47*11312-.53*10000)+.49*1500
= 743.4864
Vs Avg calling range
22+,A9s+,KTs+,QTs+,JTs,ATo+,KTo+,QTo+,JTo (18.25%)
P (fold) = 81.75%
P(8folds) = 19.9%
Equity vs range = 48.79%
EV= .799(.4879*11312-0.5121*10000)+.199*1500
= 616.6017152
Obviously the ICM trainer uses a different calculation because it has given ICM value to chips to get $EV instead of ChipEV but the point of these example calculations is to show that push or fold is really dependent on opponents calling range
But what I want to know is how can ICM do this without having any villain calling ranges input? Like when you do the quiz and it tells you "push with this range in this spot"
Is this just the unexploitable pushing range? Or does it just have pre-made "standard" villain calling ranges that it uses as an average?
because I don't think it can give you correct pushing range without knowing opponents calling range and can sometimes lead you to make incorrect decisions. Eg. you're at a super tight table and ICM trainer tells you push 35% but you have a hand slightly outside this range but the table is all so nitty that they only call with 5% so its actually a mistake to fold your hand in terms of $EV.
Sorry if this is a nooby question but I am a cash player who sometimes plays SnG and I want to know how to develop my push or fold skills.
