Hold'em table

Three-handed, the button opens very wide and K3o is a marginal but viable steal; raising to 2.5x attacks the blinds and gives me position if called.

J2s is too weak to continue from the small blind against a button raise with the big blind still to act.

Holding AQo in the big blind against a button open in 3-handed play is a clear 3-bet for value.

K3 offsuit is far too weak to call a 3-bet; I'm dominated whenever a king flops and need roughly 37% equity against a range that crushes me. Folding preserves chips for better spots.

63 offsuit is too weak to open from the button for a full big blind, so folding preserves chips.

AcJc is a premium suited broadway hand blind vs blind; raising to 3bb for value and initiative.

J8o is slightly too weak to open profitably even from the button 3-handed.

Heads-up against the big blind, A6s has strong equity and plays well as a steal-raise. Raising to 3x builds the pot with a hand that often dominates BB's calling range.

JTs has good playability and enough equity against a small-blind open after the button folds, so calling 200 to see a flop is preferable to folding or bloating the pot out of position.

As preflop raiser on a low 3-8-4 board, a half-pot c-bet pressures the BB caller's capped range, and my ace-high plus gutshot equity gives me backup if called.

Jack-ten has only two overcards and a backdoor flush on a dry 3-4-8 board, so the half-pot c-bet does not offer enough immediate or realizable equity to continue.

Ace-Jack offsuit is a strong opening hand three-handed, and I have position on both blinds. A standard 3x raise builds the pot for value while retaining fold equity.

J5 offsuit is too weak to continue against a button raise for 250 more, especially with the big blind still to act.

Holding 83 offsuit facing a button open raise, this hand is far too weak to defend out of position.

25 offsuit is too weak to call or raise even on the button in a three-handed game, so folding is the highest-EV option.

A8o is well ahead of a random hand in a blind-versus-blind spot, making a standard 3bb open raise profitable.

A4o is marginal, but calling only 200 more with position on the SB raiser and needing just 25% equity against a likely wide 3-max raise range is profitable; folding ace-high here is too tight.

C-betting one-third pot on a dry King-high board where we retain a significant range advantage as the preflop raiser.

Bottom pair with an ace overcard and position against a small flop bet; I only need ~20% equity and my hand has decent equity versus K-x, overpairs, and bluffs, so calling is clearly profitable while raising bloats the pot with a weak made hand.

I hold Ace-high with a gutshot straight draw to the wheel on a King-high board; checking out of position controls the pot and realizes equity.

I only hold bottom pair (4s) with a gutshot to the wheel, and a bet here mostly folds out A-high hands I already beat while getting called by KX or pocket pairs that beat me. Checking realizes my showdown value cheaply and lets me bet big if a 5 or Ace rolls off on the river.

I hold an Ace for a five-high straight on a four-to-a-straight board. Worse hands rarely call a bet, chopped Aces will call, and any six beats me, so checking to induce bluffs or reach a cheap showdown is optimal.

I hold the wheel (A-2-3-4-5), the nuts on this river. Seat_3 showed aggression preflop and on the flop, so I'll bet big hoping for a king or two pair paying me off.

The board has a four-card straight (2-3-4-5) and our Ace only makes the lowest possible straight (wheel). Seat 1's massive 5x pot overbet heavily represents a 6 for the higher straight, making this an easy fold.

K2o is too weak to open even from the button in 3-handed play, making fold the clearly optimal choice.

Button folded, so it's heads-up SB vs BB where 9s4c has solid equity against a wide defending range. A standard 3x raise builds fold equity and initiative rather than limping with a suited hand that plays fine postflop.

QJo has enough equity and position against a single small-blind open to continue; calling keeps the pot manageable.

I have 9-high with the preflop raiser's fold equity spent; checking keeps the pot cheap and I can fold to pressure.

Queen-high with no pair or draw on A55 has little value and no clean bluff equity against the preflop raiser, so I check back and realize free equity.

My 9-high has no real showdown value, but the BB's flop-check range is full of aces and pocket pairs that beat me and will call a turn bet, so a bluff would need ~40% folds that is unlikely to materialize. I check and plan to fold to aggression.

Queen-high with no pair or draw on a paired ace board has little value or bluff equity against a preflop raiser, so I take the free card.

I have 9-high on a double-paired board and both checked through; a bluff has little fold equity since checkers usually call with a five or ten, and my hand can't win at showdown.

Queen-high has almost no showdown value, but a river bluff mostly folds out hands I already beat while pairs and aces call. Checking is free and best.