Hold'em table

78o is a marginal but playable button open in three-handed play; a small raise takes the initiative with position rather than calling or folding.

Folding T5 offsuit in the small blind facing an open raise from the button.

Pocket threes are a cheap set-mine: only 150 more to call into a 400 pot (~3.7:1), and 33 retains decent equity against a button raising range. Keeping the pot small out of position is preferable to 3-betting.

My pair of threes is very weak on an ace-high board against the preflop raiser, so I take a free card rather than bluff into their checking range; I plan to fold to a bet.

78o completely missed A-T-4 with no pair, draw, or useful blockers, so a c-bet is a pure bluff into a range that can easily have an ace or a pair. Checking back keeps the pot small and avoids lighting chips on fire.

Pocket threes are nearly worthless on T44AK with two hearts; checking back keeps the pot small and avoids building a pot out of position with a weak hand.

78 offsuit has no pair, no draw, and no relevant blockers on A-K-T-4. Checking behind avoids spewing into a board that favors the preflop caller.

Pocket 3s missed the board entirely; with no fold equity shown and a checked pot, taking a free showdown is best.

Seven-eight has no pair and no draw on this board, so it almost never wins at showdown, but a river bluff is unlikely to fold the pairs and weak aces in the big blind's calling range. Checking realizes the free showdown.

JTo is well within the standard opening range on the button in 3-handed play; raising to 2.5bb to apply positional pressure.

6d9c is a weak hand facing a 2.5x raise out of position; folding is the clear profitable play.

K5o is too weak and dominated to continue against a button open; folding avoids a poor-equity, hard-to-play spot.

Button folded, so this is heads-up versus the big blind with A7o. A small raise takes the initiative and builds the pot with a hand that is ahead of much of a blind defense range.

K2o is too weak to defend against a 3bb open from the small blind.

Q8s is playable from the button in a three-handed pot, so I open to 2.5bb rather than limp or fold.

J9s has great playability and implied odds; with no rake, flatting from the small blind against a button open is well-priced.

Ten-deuce offsuit is far too weak to defend against a raise out of position; folding is clearly best.

Checking to the preflop raiser out of position on an Ace-King board that heavily favors their range.

As the preflop raiser I c-bet one-third pot on a dry AK3 board after the small blind checks. Queen-eight has little showdown value, but the bet can fold out worse hands and I can shut down if called.

I completely missed the flop of Ad 3c Ks with Jd 9d, holding only weak backdoor draws out of position against the preflop raiser's c-bet.

Q7o is slightly too weak to open profitably even on the button 3-handed.

Q7o in the small blind against only the big blind is worth a cheap call to see a flop rather than fold or inflate with a marginal hand.

9-5 offsuit is too weak to raise, and checking is free with the button already folded and the small blind only completing.

I have Q-high with a gutshot-ish backdoor on a K-high board heads up; checking is free and avoids building a pot out of position with a weak hand.

Nine-high with no pair or draw has essentially no equity if called, so checking back after the small blind checks avoids spewing into a wide but connected board.

I only have queen-high; with no draw and a free check available, folding or betting has no value.

I have complete air with no pair or draw on a coordinated board, and the pot is small, so checking behind is the highest-EV line.

I have a weak pair of fives on a coordinated board and no bet to call, so checking to showdown is best rather than bloating the pot.

Button folded, so this is heads-up versus the big blind. Q8 suited is playable enough to raise for initiative rather than flat out of position.

Defending the big blind with A3s in position getting 2 to 1 pot odds against a small blind open.

Queen-high with no pair and no draw on K93; checking is free and better than bluffing into the preflop caller who has position.

I have bottom pair with an ace kicker on a dry K-high board; checking back controls the pot size and realizes showdown value in position.

Queen-high with no pair and no real draw on a paired king-high board has little showdown value, and a turn bluff into the preflop caller is unlikely to fold out enough better hands. Checking keeps the pot small and preserves the option to fold if they bet.

Our bottom pair is vulnerable and counterfeited by the paired board, but we still have decent showdown value against unpaired hands. Checking back to see a free river.

Queen-high has no value on this paired board, and checking is free. Betting risks getting called by any pair or king that already checked twice.

I have two pair (nines and threes with an ace kicker). Betting rarely gets called by worse hands, so checking behind to take the showdown value is standard.