February 18, 2013
Hi – the following hand came up the other day on a $5 6-max tourney on iPoker last week – I have been trying to work out the math to see which option is optimal out of fold/raise-fold/raise-call/shove – would appreciate your thoughts and any comments if I have made any significantly glaring errors with my calculations.
I have omitted the option of limping as this is hard to calculate without knowing flop textures/actions etc – is it safe to assume limping with 33 here is less optimal than options above as it does not flop well enough when we are this shallow, assuming we don't get shoved on which we will a fair amount of the time?
Also, regardless of what the optimal play is should we consider including 33 in our raise/fold range as balance with the good hands we want to raise/call with, or should we be doing this (raise/folding) with other hands in our range instead?
Calcs
Folding = 3868 chips
Raise/folding= 3905 chips (SB shoves 11%, BB shoves 23%, BB calls 4.7% when SB shoves)
2 folds-> 0.66*(3868+180)
Either or both shove-> 0.34*(3868-240)
Shoving = 3997 chips (SB calls 8%, BB calls 11% & overcalls 3.5% when SB calls)
2 folds-> (0.92*0.89)*(3868+180)
2 calls-> ((8/100)*(3.5/100)*(((3868+1864+1810)*(22.6/100))+((3868-1804)*(77.4/100))))
1 call -> ((0.08)*(((3868+180+1804)*0.387)+((3868-1804)*0.613)))+((0.11)*(((3868+180+1690)*0.388)+((3868-1690)*0.612)))
Raise/calling= 4095 chips (SB shoves 11%, BB shoves 23%, BB calls 4.7% when SB shoves)
2 shoves (I fold when both shove) -> (0.14*0.047)*(3868-240)
1 shove-> ((0.14)*(((3868+180+1804)*0.419)+((3868-1804)*0.581)))+((0.23)*(((3868+180+1690)*0.473)+((3868-1690)*0.527)))
2 folds-> 0.66*(3868+180)
The hand
Note – I 3x PFR in this example, but my calcs above are based on me only 2x PFR which I think is preferable due to stack sizes of myself and remaining players in the pot.
iPoker – €4.55+€0.45|<> NL – Holdem – 5 players
Hand converted by PokerTracker 3
UTG: 2,255.00
CO: 5,569.00
Hero (BTN): 3,868.00
SB: 1,864.00
BB: 1,810.00
SB posts SB 60.00, BB posts BB 120.00
Pre Flop: (180.00) Hero has 3 3
fold, fold, [color=red]Hero raises to 360.00[/color], fold, [color=red]BB raises to 1,810.00 and is all-in[/color], Hero calls 1,450.00
Flop: (3680.00, 2 players) J 4 4
Turn: (3680.00, 2 players) A
River: (3680.00, 2 players) 9
[spoil]Hero mucks 3 3 (Two Pair, Fours and Threes) (Pre 53%, Flop 13%, Turn 5%)
BB shows A J (Two Pair, Aces and Jacks) (Pre 47%, Flop 87%, Turn 95%)
BB wins 3,680.00
[/spoil]
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