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Ahhh forgot about this one. Here is my answer.
I think betting and folding to a raise on the turn is best, checking and folding the river to a bet.
There are some pretty basic reasons why betting the turn would be superior to checking. Worse hands will call a bet; worse hands cant draw out for free.
But this hand represents a concept I have been incorporating in my game recently that I feel is a significant concept when considering what to do with a hand, but may be too general. The concept that really stands out when considering what to do in this hand: Which line do I get bluffed the least?
I could also consider: Which line do I get bluffed the most? But I am using a concept congruent with my strategy. I believe that if I put all my money in the pot, I am going to lose. There are too many hands that are calling a cbet on the flop that are beating me (AQ/KQ/QJ/88/77/QQ). But there are also a lot of hands that could possibly float this flop, or hands that may turn themselves into bluffs. But even though an opponent may very well bet turn and river if we check to them, we are still going to want to fold. There simply are not enough bluffs in his range to warrant calling down. That is my opinion, but I strongly stand by it. Given this assumption, we want to take a line where our opponent bets as a bluff the least. In my experience, if we bet the turn and check the river we will see less bluffs on the river shove than we would see bluffs when we check the turn and he bets the turn and river.
It essentially goes back to the more basic concept that we are always trying to balance our range well and always trying to keeping our opponents range unbalanced. When we check the turn, our opponent balances his range well, and we lose money. But when we bet the turn and check the river, it is very hard for our opponent to logically deduce he can call the turn with a draw and shove river as a bluff. And he may think any shove will look too much like a bluff and we are trapping him with AQ/KQ which we very well may play the same way. It is hard to figure out how to play optimally against our bet/bet/check range in this situation.
I can't tell you how many times I will put money in the pot only to put my opponent in a situation where he can easily balance his range with bluffs and made hands. In my opinion, doing this is what ultimately causes your red line to decrease the most (and I know you guys get depressed about your red line). When you are considering taking a line, make sure you are thinking about how your line is going to affect your opponents range balancing, and be inclined to take the line that makes it harder for him to balance his range well.
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