Help with the Math behind 3betting
I'm using my current downswing to re-examine my game. 3 betting is something I've been doing largely without thought. Just raising up good hands because I want to enter the pot with a raise. So what exactly should I be considering?
This is my thought.
Obviously I need to consider the villain's range and what odds
I'm setting by raising. If I bet pot sized I'm setting my odds as a little worse than one to one(amount to call plus pot-sized of raise). The villains calling odds are 2 to one. So they can profitably call with the top 2/3 of their range, and in practice probably less if they're oop. So in order to 3bet profitably do I want to be ahead of about half their range(my odds) or just 2/3 of their range(their calling odds)?
So against someone with 20% pfr in blank position opens to 3bb, should I be raising with the top 10% of hands, 13%, much lower, or something completely different? Then make some adjustments on how the hand plays against their calling range. So hands like A9s while in the top 10% of hands probably doesn't play well if they'll call with all the stronger aces. If for example, he calls a 3bet with all his pfr hands(20% range) then what should I be raising with?
What if instead of raising pot sized I raise less, does the same math apply except with different ranges based on the different odds?
With the same thought process, to call behind I only would need to be ahead of less than half his range since the odds include the money from the blinds.
When it comes to 3betting light, am I just taking advantage of how infrequently he'll call or 4bet below optimal. So if he's calling/4betting only 1/10 of his pfr range, then I'm justified in 3 betting light because essentially I'm setting odds that are good enough for him to call but he isn't accepting the odds as often as he should. Is this right?