Holdem table

A2o is easily dominated and plays poorly postflop; with no money invested, folding avoids a negative-EV spot.

Pocket nines are a strong hand heads-up against the BB; raising builds the pot and applies pressure while retaining fold equity.

7-T offsuit is weak, facing a raise with a caller already out; not worth continuing.

J6o is a weak hand facing a call with a big blind still to act; not worth continuing.

A7 offsuit on the button is a decent raising hand heads-up against blinds; a standard 3x open applies pressure with position.

53s is too weak to call a button raise from the small blind with the big blind still to act. Folding saves chips for better spots.

K3 offsuit is too weak to defend against a button raise out of position; when I hit a king my kicker is dominated, and calling 200 into a small pot with poor playability is -EV.

42 offsuit is too weak to open even on the button in three-handed play; folding avoids putting chips in with a dominated hand.

KJs is a strong hand three-handed on the button; I raise for value and initiative against the blinds, keeping the raise standard at 3x to avoid bloating the pot out of position later.

3-4 offsuit is weak; facing a raise out of position with poor pot odds, folding is best.

87o is too weak to continue out of position against a button raise; folding avoids a negative-EV call.

AJ suited-ish (Ah Js) is a strong button hand; raise to isolate and take advantage of position against two limpers.

A6o is too weak to continue out of position against a button open; folding avoids a dominated, difficult postflop spot.

QTo has roughly 45% equity against a typical wide button opening range, and I only need about 31% given the pot odds (200 into 450). Defending the big blind here is profitable even out of position, so I'll see a flop rather than fold a hand this strong relative to a button raise.

I only have queen-high with a backdoor flush draw on an ace-high flop against the preflop raiser, whose range hits this board often. Checking keeps the pot small and lets me fold cheaply to pressure or take a free card.

I have top pair top kicker on an ace-high board; a continuation bet extracts value and denies equity from draws or weaker pairs.

My QdTh only makes ace-high on the Ad8d5s board (backdoor diamond draw at best), while seat_3's preflop raise plus flop bet almost always holds an ace or a pair. Calling 400 into 1050 requires ~28% equity I don't have, so folding is cheapest.