Let's say Villain is very tight, and based on lack of other information, we assume he's only 3betting AAxx.

Say V's flop cbet is 60% - he will cbet all rainbow and two-tone boards, regardless of whether or not he has a NFD or straight draw, will check all monotone flops, and will bet small on 75% of paired and connected flops.

What should our check-raising range and frequency be?

I'm thinking when calling OOP with ss and ds rundowns (KQJT-9876), we should be check/shoving any two pair and wraps or better, though I could see this being too tight of a range. Thoughts?

Theoretically it depends on his fold to raise %.

Practically it's impossible to know, because you don't really know anything about villains psychological state, his willingness to fold or call at that moment, only half his holding, etc.

EDIT: you could calculate your equity vs. all AA hands and then guesstimate what % of that range folds and then do the math, but it'd be pretty non-empirical.

42

Is right on the largest of scales

Too vague of a question to learn much from. Here are some specific scenarios.

3.5 bb MP open from you, 12 bb BTN 3-bet from villain, 25.5 bb in the pot heads up. You check, villain bets 16 bb.

Here are some random flops (a couple thrown out because they were too similar to the others) and effective prefop stacks between 100-200 taken from a RNG:

Q32 -- You check, villain bets 12.5 bb, you have 186 bb behind.

765 -- You check, villain bets 17.5 bb, you have 131 bb behind.

JT4 -- You check, villain bets 20 bb, you have 126 bb behind.

A54 (lol) -- You check, villain bets 20 bb, you have 93 bb behind.

J55 -- You check, villain bets 12.5bb, you have 112 bb behind.

Question is for you OP, what would you do with your range in these spots, against different types of players who supposedly have only AA. You could learn useful things from people critiquing your answers.

Thanks for the suggestion. Here we go: