Hold'em table

Q8 offsuit is too weak and easily dominated to open first in from the button, so folding avoids a marginal spot.

Heads-up after the button folds, A3o has solid equity against the big blind's range. A small raise builds the pot with an ace and applies pressure, with a fallback to folding if facing heavy resistance.

6s 2d is one of the weakest starting hands and does not justify calling a raise out of position.

T3 offsuit is a weak hand from the button against two players; folding avoids investing in a marginal spot.

AQo is a premium holding in a blind-versus-blind situation; opening to 3bb builds the pot with a significant equity advantage.

57 offsuit is too weak to continue against a raise, even heads-up after the button folded. Folding avoids putting more chips in with a dominated, disconnected hand.

A3s is a standard open-raising hand from the button in 3-handed play to seize initiative and position.

Q9 offsuit is too weak to continue from the small blind against a button open, especially out of position with the big blind still to act. Folding avoids a dominated spot.

Getting a good price of 150 into a 400 pot against a likely wide button open in 3-max; 97o has enough equity and implied odds to see a flop despite being out of position.

I hold second pair with a weak kicker on an ace-high flop against the preflop raiser, so I have little fold equity and am often behind. Checking keeps the pot small and lets me reassess against a bet.

I have top pair with a weak kicker on a dry board, making it ideal to check back for pot control and allow the opponent to catch up or bluff later streets.

I hold second pair (99) with a weak kicker on an ace-high board against the preflop raiser who checked back the flop. Checking is free, preserves my showdown equity against unpaired hands, and avoids building a pot where I'm dominated or forced to fold.

Betting for value and protection on the turn after checking back the flop with top pair, weak kicker against the big blind's capped checking range.

The 300 stab into an 850 pot after a checked flop is small, requiring only ~21% equity; my pair of nines beats missed stabs and K/J-high bluffs often enough to continue cheaply, and I can reassess on the river.

The river 7h gave me two pair (nines and sevens), which beats all one-pair hands, but sets and better two-pair combos (AQ, A9, A7, Q9) are live on this ace-queen board. Checking controls the pot and keeps my showdown value while avoiding a value-bet into ranges that dominate me.

I have top pair with a weak kicker and sufficient showdown value; checking behind avoids value-owning myself against better Aces.

K2o is too weak to open from the button in three-handed play; folding avoids domination and a bloated pot out of position postflop.

Pocket eights are a strong heads-up hand (~55%+ vs a random holding), so raising from the SB for value and fold equity is clearly better than limping. A 3x open builds the pot while keeping the BB's range wide and dominated.

Defending the big blind with Ac2h in position against a small blind open, getting 2:1 pot odds.

Pocket eights are an underpair to the QJ3 flop with only two outs and poor showdown value against the caller's range. Checking keeps the pot small so I can fold cheaply to aggression.

I have Ace-high with limited equity on a Queen-Jack high board; checking back to see a free turn is optimal.

My 88 has showdown value with the paired board but is behind jacks/queens; both opponents checked the flop, so I'll see a free river rather than build a pot from a weak position.

Holding Ace-high with showdown value in position, checking behind to realize equity and see the river for free.

My jacks and eights two pair beats the A-high and small-pair hands that fit the passive check-check line, so a half-pot river bet extracts thin value; if raised, I can easily fold.

I hold only Ace-high on a paired board where any pocket pair makes two pair. With plenty of actual pairs in my range to call this river bet, Ace-high is too weak of a bluff-catcher here.

T9s is a strong button raise in a 3-handed game; I take the initiative with position and fold equity while keeping the pot manageable if called.

Folding 52s in the small blind facing a 3x button raise, as it lacks sufficient playability and equity out of position.

K9o out of position against a button open is too weak to call or 3-bet profitably, so I fold.

Opening JTs on the button with a standard 2.5bb raise to build the pot in position.

Q2 offsuit is too weak to continue out of position against a button open, so folding is the highest-EV option.

K2 offsuit is dominated by most of the button's raising range and plays terribly out of position with a weak kicker; even with decent pot odds, equity realization is too poor to profitably call.