[iggymcfly]

This is definitely a tricky spot. At first glance, it looks like he has either KT or TT as any other made hand would have led the flop, and a combo draw looks somewhat unlikely if still possible. By combinations, KT is 4 times as likely as TT.

On the other hand, we have to ask what kind of hands villain is checking behind the flop with. It's pretty dry and if he's reasonably aggressive, you'd expect a naked king to be betting a large amount of the time. Of course, you'd kind of expect air to be betting there too, anbd you can see the logic with something like KQJT that he wouldn't want to get raised off of his two pair draws so I don't know how much you can really discount KT.

As a rough guess on his range, let's say he has KT 70% of the time, TT 20% of the time, and a combo draw 10% of the time. Now if we reraise, our hand looks really strong and villain can't discount any of the flopped sets, so let's say if we're up against KT, we get a fold half the time. For simplicity's sake, I'll assume the player in the middle always folds, since he'll fold a lot and when he does call, he's not likely to gain much equity.

If that's the case, than pushing gets us $1760 35% of the time, breaks us even 35% of the time (the dead money in the middle is made up for by the fact that we don't have much for redraws), costs us $2390 20% of the time (giving us 4.5 outs vs. TT on average), and makes us about $1216 on average when we're against a combo draw (figuring that we typically have 60% equity in that case).

That means that with a range weighted very heavily toward a good made hand and not including any K5 type hands at all, we're still gaining $260 on average with a push vs. a fold. I think that's enough to show that pushing's clearly superior to folding. On the other hand, calling's just bad since we allow the player in the middle to stay around cheap, we'll never know if he hit or not, and we don't really have "safe cards" anyway except for a king since the main hand we're worried about is TT. I'd definitely get it in here.

(Obviously, you can't make all those calculations when you're playing, but you have to figure more simply, that if he'll play KT or TT there, and you get him to fold KT a decent amount, you're going to be in a pretty good spot.