Originally Posted by combuboom
good pot control line. A9 or most 9s for that matter aren't checking the turn IME, but given preflop raise i think he rarely has a lone 9 anyway. once he checks turn, he's generally either got air (overcards, most likely) or a set taking the standard "okay my c-bet didn't work, i give up" line, possibly a tricky AA or KK with the same mindset. checking behind the turn saves money against the ones that beat you while getting max value out of air.
people are often too worried about allowing drawing in cash games. if he's got two random cards above a 9, he has 6 outs to improve on the river. put simply, the times that he'll see your check on the turn and fire at least 1/2 the pot with air on the river generally outweighs the 14% of the time he outdraws you as far as pure EV.
only exception to that last statement would be if you had a read that the guy really rarely bluffed/stabbed at pots at all beyond c-bets, and in that case betting the turn and folding to a raise is probably the best line. against most players at 50NL and beyond, your line is good.
Yep, not much to add to this. It's always worth it to take that small risk of getting outdrawn vs inducing a bluff.
The only thing I can add to what combu says is that, at times, PP's bigger than tens, such as JJ or QQ, will take this line also because when they don't improve and their c-bet on the flop gets called they try to get to showdown cheaply. So while they do slow down the betting, they will call bets and in that case if you fire turn and river it'll cost you more. There is also the chance you get raised from those hands and I think that's what combu meant when he said bet/fold to a raise on the turn.
In conclusion your line was good for both inducing a bluff from lesser hands and pot control against hands that are WA of us. In the former case it's vs a 14% chance of getting outdrawn, so definitely a +EV play.