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$0.02/$0.05 No Limit Holdem
PokerStars
6 Players
Hand Conversion Powered by weaktight.com
Stacks:
UTG peeoouu ($5.34)
UTG+1 Hero ($5)
CO phlay ($7.06)
BTN Shpongolese ($5)
SB la_brujaa ($2.52)
BB mickey12111 ($5.19)
villain is 9/2 over 45 hands
Pre-Flop: ($0.07, 6 players) Hero is UTG+1 
1 fold, Hero raises to $0.20, 2 folds, la_brujaa goes all-in $2.52, 1 fold, Hero calls $2.32
at first when i looked at this hand i thought
my call was pretty bad as his range for 3bet
shoving here would be JJ+,AKs,AKo and im 42 %
to win the hand but after i thought about it
i wondered what my entire range would be for
calling here and it would be KK+,AKs which makes
my range much stronger than his
after thinking about this further i wanted to
find out what range i could profitably call
in this situation.
if villain 3bet shoves JJ+,AKs,AKo then we can
profitably call 99+,AQs+,AKo
i am hesitant to include jj in his range so a
range of QQ+, aks, ako we can profitably
call tt+,aqs+, ako
this is interesting as i didnt think we
could call with a range this relatively wide.
so i want to find out what we could
profitably shove given positions were reversed:
villains assumed utg raising range:
77+,A8s+,K9s+,QTs+,JTs,ATo+,KJo+,QJo
~19% of this range calls our shove, ~81% folds then:
EV = (% villain fold)(current pot) + (% villain calls)(our equity)(bet+pot) - (%villain calls)(his equity)(bet)
0=(.81*.27)+(.19*x*(2.32+.27))-(.19*(1-x)*2.32)
x=23.6%
since ATC has ~25% equity against QQ+,AKs,AKo
we can profitably shove any cards were dealt if
we know he will only call with this range.
assuming my math is correct(BIG assumption)
what does this mean?
well i think that this means
1. against super nitty villains it is profitable to
shove ATC against utg, utg+1 ranges
(obv not every time they open)
2. as an utg opener we have to be willing to
call a wider range to 3bet shoves to avoid
being exploited like this
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