So our task is to examine the profitability of 4betting and calling off for 100BB's vs a 5-7% 3betting range. Specifically the profitability of TT but using pokerazor we can actually examine the profitability of the line for our entire opening range.
So firstly we set the scene:
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For those of you not familiar with pokerazor this is a very simple tree where hero opens to $6 (3bb's), SB 3bets to $22 (11bb's) and hero raises to $48 (24bb's) with his entire range and calls a shove with TT+, AK, AQs.
The percentages shown are the frequencies of each action. For example hero is opening with 52.04% of hands (we are stealing the nits blinds) and folding 47.96% preflop.
If the SB is raising 5-7% of the time his range is pretty strong. This is the range I have assigned:
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The range is TT+, AQ+, AJs, KQo being raised 100% of time and then some suited connectors and suited aces being raised occasionally (weighted at 10%). As you can see on the first pic above this equates to SB 3betting of 6.128% of the time. For the purpose of this exercise we are ignoring the times he calls preflop and he is therefore 3betting with this range or folding.
Now I am going to show the pokerazor EV calcs for 4betting our entire range and also the EV of calling if SB shoves. I am going to do this vs two 5 betting ranges.
Results vs tight 5Bet range of JJ+, AK
These results show that even 4betting JJ is a -EV play vs this opponent and we should not be looking to get in in here without QQ+, AK.
Here are the EV calcs of calling the 5bet:
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Calling the 5bet with JJ, TT or AQs is still a -EV so we are not 'priced in' to call vs a JJ+, AK 5bet shoving range.
Results vs wider 5bet range of TT+, AK, Axs
So now we add TT and suited aces to his 5bet range (nb. not all suited aces are in his 3bet range) and 4betting JJ now becomes profitable.
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And we are priced in to call with TT+, AK, AQs
IF we are sure he is sometimes 5bet shoving as a bluff but the 4bet itself is still a -EV play.
The thing to take away from this is just how important it is to know your opponent, and more importantly to know their ranges.