Re: 200/400 hand 1
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I wasn't saying anything about pumping the pot. I was saying that if A2 has 'significant' showdown value then it means that it does well against his hand range here. So why not 3-bet for value?
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Because 3-betting ensures you will either win a small pot, lose a small pot where you are unsure if you made the proper laydown, or lose a large pot. You're narrowing your hand range too much in a situation where you will only flop a "I'm sure I am going to showdown" hand >20% of the time. Like James said, I'm much more inclined to 3bet with a 78s hand or even a QTo hand than with A2o.
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