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First, this isn't an average ABC player necessarily - we know nothing about him. Which means his check-raising range is wider than you think, especially depending on the flop texture. The 2nd example is a very dry board; there's no flush draw and just a couple of gutshot straight draws possible. So check-raising there could mean one of a few things:
1. I have a set or maybe AJ and I'd like to get the money in.
2. I have a pair of aces, and since this flop connected with me I'm going to guess it didn't connect with you, and try to take this down now.
3. I am taking a gamble that you don't have an ace and don't like to see one - so this is a bluff, please fold.
What's interesting about it is that a check-raise on a fairly dry, ace-high flop from a lot of players specifically could mean that they DON'T have better than TPTK. If you had a set of sixes, say, check-raising there is playing pretty fast and tipping your hand strength very early, when you really don't have to. AJ is the same thing, and since the flop hit you so hard, it becomes more likely that your opponent has some other hand (like a medium or big pocket pair, that would be scared of the ace). There are good strategic reasons to check-raise a strong hand there anyway, but the fact that the board is not dangerous means that a lot of players would NOT check-raise their really good hands, hoping to get a 2nd barrel out of you on the turn before they really show their strength. There's a reason the check-call, check-raise line is so infamous as a "set line."
What I'm arguing is this: since we don't have a read on this guy and the flop is unexciting, the check-raise could mean a whole lot of things. I don't mind calling his smallish raise to see how he proceeds on the turn. That might be a leak, and admittedly I play 50 NL myself, not 100; but I definitely feel like there's more check-raising going on than just "I have your one pair beat," especially on the flop. (Turn and river is a different story.)
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