Quote:
Originally Posted by refinedsugar
What could he be repping with a line like that? The only thing you beat is a weak ace or a bluff.
I think OP and everyone who has responded so far is aware of this. I don't see any responses that suggest V gets here and bets for value with J
T
, QQ, 99, or K
8
.
The relevant questions at the moment are a) How many bluffing hands and weak aces does V have in his range at this point given his line as well as his perception of our line?, b) how many hands will he bet here that defeat TPTK?, and c) what is the ratio of group b to group a?
If I am correct to assume a $4 drop, we are being offered the opportunity to call $45 to win $105, so we get 2.3:1 on our money. At that rate we need to hold the better hand roughly 30% of the time in order to break even on our call.
So based on the 30% break-even point, for us to have a winning call we need the ratio mentioned to be at least one hand we beat for every two hands that beat us. Let's try and break down his range:
- Weaker aces: With us holding one ace and one ace on the board, there are 2 remaining aces * 4 unseen queens = 8 possible combos of AQ. CRUCIAL POINT TO CONSIDER: Does this villain 3bet AQ from BB when we open from CO and another player calls from SB? If he tends to just call in this circumstance, there are 8 combos of AQ in his range. If not, the math change. 8 combos of AJ, 8 combos of A9, 8 combos of A7, 8 combos of A5, 8 combos of A3, and 8 combos of A2. So a total of 56 combos of ALL weaker aces. Since you say 68 suited is on the low end of his pf calling range and we might not expect him to confidently bet a really weak ace on the river, we can discount the 56 combos to a smaller amount. If we include just AQ, AJ, and the two suited A9, we get 18 combos of weak aces that can probably take this line. It makes sense for a weaker ace to bet the river since our turn check back can make our hand look like KK/QQ/JJ.
- Bluffs: By the same logic that says he can bet AJ to get value from KK, we might see him bet a busted draw in order to represent AJ and make us fold the pocket pairs and king highs that beat his busted draws. With a flop of A86xcc we might see him call our flop bet with K
Q
, T
9
J
T
, etc. Don't have any information to determine how often he would decide to bluff with busted draws, nor do we know whether the AKo in OP includes the K
. For the sake of argument, let's say we see just two combos in this category for now.
- Hands that beat us: Logical two pairs include 86s (3 combos), A8s (with an ace in our hand, just 2 combos), A6s (2 combos), AT (6 combos), A4s (2 combos), T8s (2 combos). Sets include 66 (3 combos), 88 (3 combos), TT that stubbornly think we whiffed the flop (discount to 2 combos). We also lose to 97s (4 combos); if he is likely to check raise the flop with 9
7
we could discount that to 3 combos. Since OP says 86s is the bottom of his calling range perhaps we discount 75s to 2 combos. So I see a total here of 30 combos.
So according to my breakdown, he can get here with a weaker ace/bluff for 20 combos, and has us beat with 30 combos. Since 30 is not 2.3 times larger than 20 I like a call. Not a fist pump call by any means, but in the long run it should be profitable based mainly on the fact that villain can bet for value with AQ/AJ/A9 based on actions taken on previous streets.*
* As mentioned before, it's crucial to know whether he 3bets preflop with AQ in these circumstances. If we take AQ out of his range and we hold his bluffs to just two combos, our ratio changes to 12 hands we beat vs 30 hands that beat us and then we have to seriously consider folding.