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 Originally Posted by zook
A good study question is how much of your 4bet shoving range has to be made up of stuff like QJs (as opposed to QQ+,AK) for calling with AK to be correct?
Assuming SB folds, effective stacks are 194.
Hero shoves, 173 (194-21) for villain to call for a 238 (194+21+21+2) pot. That 1.376:1 / 42,1% equity needed.
AK vs QQ+,AK is 1.53:1 / 39,6% (-EV)
AK vs QQ+,AK,QJs is 1,32:1 / 43,1% (+EV)
So if hero is always QQ+, AK and QJs always, and nothing else ever it's a profitable call with AK (that being the range of AKs, AKo).
There's a breaking point somewhere though if hero is not always shoving QJs, but is doing so with QQ+, AK.
QQ+, AK is 34 combinations.
QJs is 4 combinations, or 10,5% of the range QQ+,AK,QJs.
As pointed out above, equity needed is 42,1%.
0,421=(0,895*0,396)+(?*0,383)
? = 0,1738
So if 17,38% of hero's range consists of hands like QJs, it's neutral EV for villain to call with AK.
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