Right, I think I have something at last!
Question 1: Post a hand for evaluation where you have based your decisions on the stats of your opponents.
Well, I'm not sure about this one: I think that the player is likely tight enough that he would fear the Q on the flop and certainly the A on the turn, but I do wonder if I should give his flop raise more credit.
Question 2: Evaluate one of the hands submitted by other members.
This guy gets hit by a truck and some work with Equilab makes me think isn't any way he could reasonably have seen it coming unless he knew his opponent only ever EVER bets with the nuts.
Question 3: Consider the following situation:
$10 NL Hold'em (7-handed)
Stacks & Stats:
UTG ($10)
MP ($8)
MP2 ($9)
CO ($10)
Hero($10)
SB ($10) (17/13/2.6/24/1212) [VPIP/PFR/AF/WTS/Hands]
BB ($10) (27/9/2.0/29/333) [VPIP/PFR/AF/WTS/Hands]
Preflop: Hero is BU with 6 :diamond:, 7 
4 folds, Hero raises to $0.40, SB calls $0.40, BB calls $0.40
Flop: ($1.20) 3 :diamond:, 3 :heart:, T
(3 players)
SB checks, BB checks, Hero checks
Turn: ($1.20) J
(3 players)
SB bets $1.00, BB calls $1.00, Hero...
What action would you take, and why?
The SB has TAGgish stats. The BB is looser and more passive. The SB bets. The BB just calls.
I need to be worried that the SB has me beaten with a bigger flush draw or even a full house, but my instinct is to rule it out. He'd probably have 3-bet TT or JJ pre-flop. He saw no strength from me on the flop so he doesn't need a huge hand to bet with - he may reasonably have thought I whiffed. He's made a largish bet for someone with no fear of a flush draw. He may be honestly betting with a jack, semibluffing an ace of diamonds, or both the above; he may be trying it on with 88 or 99, possibly have been slowplaying trip threes, or just having a stab at a scary board that I might have missed with AQ or something. So I've convinced myself that a fold is out of the question.
The BB on the other hand may very well have a high diamond, and the risk that one of the two of them does means that I need to raise here. Say a raise to $3.50? I think that protects my small flush and gives me the option of getting away from the hand if there's a big reraise, or a call and another diamond on the river (which would be a sickener).
Question 4: Consider the following situation:
$10 NL Hold'em (8-handed)
Stacks & Stats
UTG ($8)
MP ($10)
MP2 ($9)
MP3 ($6)
Hero ($10)
BU ($10) (25/21/3.8/26/1250) [VPIP/PFR/AF/WTS/Hands]
SB ($10)
BB ($10)
Preflop: Hero is CO with J♥, J♦
4 folds, Hero raises to $0.40, BU 3-bets to $1.30, 2 folds, Hero calls $1.30
Flop: ($2.75) 6♥, 9♠, T♣ (2 players)
Hero...
What action would you take, and why?
This guy raises PF a lot, and has a high AF too. He probably thinks I have a wide-ish PFR range from the cut-off, and so will 3-bet with a lot of cards. I presume then that our call is for value, not just set mining (stacks aren't deep enough for this).
His range doesn't hit that flop! I just fed "10%" into Equilab and it said the following:
Board: 6♥9♠T♣
Equity Win Tie
CO 61.16% 60.54% 0.62% { JJ }
BU 38.84% 38.21% 0.62% { 77+, A9s+, KTs+, QTs+, AJo+, KQo }
126 combinations in that range. We're behind 99, TT, QQ, KK, AA, which is just 24 hands. We stand to make a ton of money from AT, KT, QT.
If he were super-tight, I would need to be much more worried that I were behind a bigger overpair. (We're about level with Equilab "5%" and 60:40ish against "4%".)
So I guess I have two options - donk or checkraise. I went into this thinking that a donk bet was the best way to get money with a minimum of tough decisions but I now think that's the cowardly option - I think he's so likely to C-bet, given his stats, that we should let him give us money and keep the action open by raising big, since if I donk and he calls there are a lot of turn cards which could make life very difficult - a queen or king is a problem, an ace is a nightmare.
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Final thought: I've lost a few big showdowns recently so I'm trying at the table to make the effort not to pay people off. Nevertheless I've gone for aggressive play in both the questions. I hope I haven't overdone it, and I wonder if I'd have that much courage at the tables, without time to think it over properly!