Hold'em table

Suited connectors on the button in a 3-handed game are a standard open; raising to 3x builds fold equity and lets me play in position with a hand that flops well.

K2 offsuit is too weak to continue out of position against a button open, with the big blind still to act. Folding avoids paying 250 into a dominated, low-equity spot.

Defending big blind with J8s against a button open getting favorable pot odds in 3-handed play.

Check to the preflop aggressor on a paired board holding Jack-high.

I have total air (45hh with a backdoor flush at best), but the BB check-calling preflop then checking a low 993 flop often signals a missed hand; a small ~1/3-pot c-bet has good fold equity and I can easily fold to a raise.

Fold J-high with no draw or backdoor flush potential on a paired board out of position.

A9s is a solid button open in three-handed play; a 3bb raise builds the pot and applies pressure before the blinds.

Ten-deuce offsuit is far too weak to continue against an open raise out of position.

Opening from the button with J9o in 3-handed play to apply pressure on the blinds.

Q5 offsuit is too weak to defend the small blind against a button raise while out of position against two players. Folding is the clear EV-maximizing play.

46 offsuit is too weak to continue against a button open; folding avoids paying 100 more with a dominated, disconnected hand.

King-eight offsuit is a standard button open in a 3-handed game where the blinds must defend wide; raising to 3x builds the pot with position and applies pressure.

24 suited is too weak to continue out of position against a button open, with the big blind still to act. Folding avoids putting more chips in with a dominated, low-equity hand.

Getting attractive pot odds of 200 to win 450 with deep stacks heads-up, calling with pocket threes to set-mine is standard.

I hold an underpair out of position against the preflop raiser; checking is standard.

As preflop aggressor on a dry Q-9-4 flop against a wide BB checking range, a small c-bet with king high and a backdoor flush draw applies pressure and can win the pot outright; I can easily fold if raised.

Holding an underpair to the board on Qh-9d-4s facing a flop continuation bet offers insufficient equity and implied odds to continue.

Button open with suited king; K7s is playable in a 3-handed pot and a small raise builds the pot while keeping fold equity.

In 3-handed play, A8s has strong equity against a wide button opening range. 3-betting isolates the button and builds value while denying the big blind easy pot odds.

QJo offsuit is badly dominated against a large 3-bet from the small blind, and calling 850 to win ~2150 needs ~40% equity I don't have, out of position with a player still behind. Folding is clearly the profitable play.

K7s is too weak to continue against a 9.5bb three-bet; the king is often dominated and the price is not attractive enough to call.

Ace-seven offsuit is well within the standard button opening range in 3-handed play, so I make a standard 2.5bb raise to steal the blinds and build a pot in position.

Pocket fours are a cheap set-mine against the button's 2.5x raise; calling 200 into a 400 pot with ~100bb behind offers strong implied odds if I flop a set, and folding is too tight three-handed.

A6s gets a good price to call 150 into 600 multiway from the big blind, with suited-ace playability if I flop well. Raising a weak ace into two players is unnecessary, and folding gives up too much equity at this price.

My pocket 4s are below both the K and J on the board with no draws, so I have almost no equity or fold equity bluffing into two preflop callers. Checking is free and lets me fold cheaply to any aggression.

Ace-high with no pair or draw on a king-jack flop is too weak to bet into the preflop raiser. Checking keeps the pot small and lets me see the turn cheaply.

In a 3-way pot on a broadway-heavy flop, checking back Ace-high controls the pot and realizes equity in position.

My pair of 4s is only good against unpaired hands, and a bet would fold out exactly those while any pair calls or raises. Checking preserves my thin showdown equity and lets me fold cheaply if someone fires.

Ace-high with no pair or draw has little value betting into two opponents, so I take the free turn card.

We have Ace-high with some showdown value in a three-way pot, and bluffing into two opponents on a wet board is low EV.

I hold 4h4d on a Jh-3c-Kc-9h-7d board with no betting on any street; my pair of fours is almost certainly beaten by any J, K, 9, 7, or pocket pair, so I have no value and no fold-equity worth betting into two checked players. Checking is free and avoids building a pot I likely lose.

Ace-high has little showdown value multiway, but checking is free after seat_1 checked and a river bluff into two callers is unlikely to succeed.

I paired my seven on the river with an Ace kicker, giving me decent showdown value after both opponents checked all three streets. A bet would rarely be called by worse, so checking behind to realize equity is optimal.