|
If you think that's his range, then you need to figure your pot odds on a call and compare that to your equity in the pot.
In order to determine if a raise is correct, then you need to figure out how he plays each hand in his range, and determine how much fold equity you have, and how much equity you have when called.
If you can figure out this information, then you can do just a little math and determine your EV of each play.
For instance:
If we put his turn betting range at 99+, AcKc, AdKd, AQ, then we have 24% equity against his turn betting range. (Note: I'm not saying this is a correct range. I'm just using your example. I would say he likely doesn't bet full pot on the turn with AK all that often, so the ranges need to be weighted, but they aren't). Well given he bet Full Pot, we are getting 2:1 and therefore need 33% equity to make a Breakeven call. Given we only have 24%, a call is -EV. However, if he bet something like 1/2 pot, then we would be getting 3:1, and need only 25% equity to have a BE call, and it would be much closer.
Since a call is -EV in this situation, which must now consider whether to fold or raise. Even though calling is -EV, it may be +EV to raise if we have enough fold equity in combination with the equity we have when called. In this situation based on his large turn lead, and the odds he would be getting if you shoved, then I would think he likely calls everything in your range that he leads turn with {99+, AdKd, AcKc, AQ}. So, if that's the case, then you have 0 fold equity, and you still have the same equity as you had when he bet, so it's still -EV. However, if he was folding some portion of his range, then we would need to find out how often he is folding (usually done by finding the total number of hand combos he is betting and the number he is folding, then dividing [# of folding combos] / [total # of combos], which gives you the % he folds). Then we find our equity agains the range he continues with, then we do some math:
EV = (% he calls)(Ev[call]) + (% he folds)(Ev[fold])
Ev[call] = (Our equity)(total pot) - (amount it cost us)
Ev[fold] = (amount we win when he folds) = current pot before our action.
And using those formulas, you can correctly determine whether a raise is correct.
|