$4 NLHE 6-max: +ev play?

$4 NL HE 6-max: +ev play?

No-Limit Hold'em, $0.04 BB (6 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

Hero (BB) ($4.65)
UTG ($2.62)
MP ($7.62)
CO ($1.09)
Button ($11.53)
SB ($2.33)

Preflop: Hero is BB with 10 , 10
UTG bets $0.14, 3 folds, SB calls $0.12, Hero raises $0.52, UTG calls $0.42, SB calls $0.42

Flop: ($1.68) 7 , 8 , 2 (3 players)
SB checks, Hero bets $1.68...

is this a +ev play?
I am having a hard time giving villains in this hand objective ranges..
What are your thoughts?

Yes, bet.

You can't give them accurate ranges because their ranges are really wide with lots of freaky stuff in there. Wide ranges are fine, it means that lots of hands will have gotten to this point and a bigger part of their range is weak, so value bet into them, a lot.

A good player (even though none of these guys are good) will call you really wide from UTG on this flop because the only thing he has that doesn't have more than enough outs are small pp's (tiny part of his range).

Your average 4nl player is calling with all of the same hands, plus he's got some extra draws and 7x/8x hands (purely because he has random stuff in his range) and he wont be folding them.
Since sb is another random 4nl player, and even one who limp-called OOP, we can assume that among other things he's not positionally aware and will come along with a similar range.

forget that they are 4nl players for a sec and obiously this is right because they have super wide ranges and I'm probably at least 30% here. against a decent calling range is this still +ev?

SB is basically always a fish, I don't care what stakes we're playing.

Him being in the hand, yes I think value betting is +EV because of the added equity (especially since we have position on him).

Purely against UTG... hmmm, his range for bet/calling pre-flop against reg BB... 88-JJ? I can't give him a range any wider than that unless he's using reads (i.e. if he thinks you're spewy post-flop there will be dominating hands in there as well, if he thinks you're a TAGfish there'll be some A's in there). Still, the vast majority of players wont be adjusting very well (not just at 4nl) and I'd just go with 88-JJ and we're behind that, I also think the TT/JJ in his range is more likely than 88/99 which hurts us more.
We can maybe add in AQs just to represent the random stuff that happens, since occasionally people will be acting on reads when they shouldn't, or they're not as good as we thought or they misclicked pre-flop or something. It's certainly calling the flop once it gets there, and brings our equity back to 50/50 (I'd still check-fold, I'm just illustrating that as soon as we add SB into the equation it's an easy value bet). - I used AQs because it has decent equity and most random stuff from decent players has decent equity. It's also only 4 combinations to represent that it's uncommon.

Hope my semi-mindless rambling makes some sense..