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This range seems reasonable, though there's going to be a bit of wiggle room because it's hard to know just which ~30% of hands he's going to have here and what hands he would 3-bet preflop because we don't have reads, etc. But I'll use the range you have provided for the analysis and show you how to discount certain hands and so on, and then explain why I would use a different range.
On the flop he check/calls, so we're going to need to discount the strongest hands in his range. Let's say for the sake of having something to work with that he only plays {88-99} like this 1/3 of the time, {JTo, JTs} like this 1/4 of the time, and {Q9o, Q9s, 98o, 98s} like this 1/3 of the time. Also, we can just go ahead and say that he never has QQ since there is only 1 possible combination of it (QsQh), he will 3-bet it sometimes preflop, and he won't always play it like this on the flop.
This is the part where I should probably show you how to discount combinations in PokerStove for the purposes of analysis, and since I have a little while before I have to be doing anything else, you're going to get some special treatment. To make this easier to follow along with, his starting range before I remove some combinations is JJ-88,AQs,A9s-A8s,KQs,K9s-K8s,Q9s+,JTs,T9s,98s,87s,76s,AQo,A9o-A8o,KQo,K9o-K8o,Q9o+,JTo,T9o,98o,87o,76o and you can just copy/paste that into the Player 2 box.
I'm half-asleep but here we go: http://www.youtube.com/watch?v=eQiGOeeY8bc
Okay so what we've come up with is that we have something like 33% equity against his range on the turn, which if he was going all-in on the turn would probably be sufficient to make a +EV call (maybe breakeven-ish with the rake). However, he's not going all-in, and we'll likely have to face a river bet (especially the times we're behind) so if we were going to call we'd probably need to have some sort of implied odds like if we hit a Q or a K we could be sure of having the best hand most of the time, which is just not the case here. Instead we have a situation with reverse implied odds, meaning if we do hit one of our "outs", we're still going to be behind a lot of the time.
Now here are some changes I would make to his range and why I would make them.
He's going to show up with some random pair or random bluff here sometimes. It's not something you have to give him credit for before you can take it into account, it's just going to happen some portion of the time. He could be doing that with something like {T8, T9, J9} on some weird semi-bluff/value kind of thought process, or just have some random shit like KJ and is trying to pick off your c-bet, or have some other straight draw like 76 or T6s and be trying to use it as a semibluff, etc. There are a lot of hands he could do this with, and while he obviously won't be doing it with them 100% of the time, it's something we should account for. If we add {K9s, KTs, KJs, T9s, T8s, J9s, 76s} to his range to account for this, we have 48.6% equity, which makes it pretty close.
Now obviously we don't know how often he's going to be doing this and with what hands he would be doing this, but we should try to account for it in at least a conservative way by adding some of the more obvious combinations he could do this with.
Random thought, but if you've ever read the "Harrington on Hold'em" series, he perhaps jokingly calls this "Harrington's Law", meaning any given bet is always a bluff at least 10% of the time.
Anyway, good work. Doing this type of stuff is what will help you get better faster and make lots of monies.
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