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What kmind said, obv, but my pokerz really improved after reading an article by Chris Ferguson; I think it was a chapter in one of the Full Tilt books.
He said that his decision-making about flop bet sizing goes like this. First, put the villain on range. Second, based on the board and villain's range, decide on his bet size. Third, he would think about his cards and decide IF he wants to bet. Fourth, if he chooses to bet, he bets whatever size he decided on BEFORE considering his cards. Another thing to consider before betting the flop is whether you're barreling the turn if a blank hits, and what you'll do if a K or diamond hits.
To answer your questions, I think your bet sizing is about right, though I would not argue if you bet .60 instead. The board has draws, but it's actually a pretty good board for you given his range.
This is FR. At 6m, I would almost always feel pretty comfortable firing a second barrel here. Here, the decision is closer, but I think a turn bet of about 3/5 pot would be a value bet. If he calls the turn, he's not afraid of you having Ax, like kmind mentioned. If he raises the flop or turn, you're beat.
This is one of those spots where we need several really good HUD stat reads or some note on his postflop play to be really accurate with our turn play.
One thing that has changed since I began playing 3 years ago is the amount of auto-calling cbets that occurs. This is a good read to get and make note of. Does villain "chase" any cbet with just a few outs? Does he often call the flop and fold the turn? If so, I'm 2-barreling him tons in spots like this.
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