Hold'em table

75o on the button in 3-handed play sits near the bottom of a standard opening range, and 100bb stacks leave little implied value, so folding is fine.

Ace-king suited is a premium heads-up blind-versus-blind holding and should raise for value and initiative.

7-3 offsuit is too weak to continue against a raise, even with decent pot odds, so I fold and preserve chips.

T8 suited is a playable button open in three-handed action, with positional advantage and reasonable equity.

A3o is a weak offsuit ace that is easily dominated and plays poorly out of position against a raise, so folding is the safest choice.

Getting 150 to win 400 (27% equity needed) against a button open, 64o has enough equity and playability to defend from the BB heads-up.

The board is T-5-Q two-tone, which hits the raiser's range, and 6-4 has only a weak pair-less gutshot/backdoor draw. Check to the preflop aggressor and see how they act.

Betting top pair for value and protection on this coordinated two-heart board. A moderate sizing can be called by weaker tens, draws, and pocket pairs.

64o with only a gutshot to a non-nut straight (needs a 7 for 3-4-5-6-7? no, needs 7 and 3; only backdoors) on a Q-T-5 board facing a c-bet; there is no meaningful equity, so folding is best.

J7o is marginal, but I have position and am getting reasonable pot odds to see a flop, so I'll keep the pot small and play postflop.

Button limped, so completing the small blind for 50 more into a 250 pot is a good price with suited-ish connectors that play well multiway. Raising out of position with 87o isn't needed.

Check the big blind with a weak offsuit hand and take a free flop in a multiway limped pot.

Top pair with a weak kicker on a low board, in a limped pot out of position. A small bet gets value from worse pairs and draws, protects against overcards, and keeps the pot manageable.

I have an open-ended straight draw and can profitably continue for this small flop bet, while keeping the pot controlled multiway.

I have J-high with no draws, and the pot odds don't justify calling with such weak equity.

Middle pair lost value when the queen came, and BB's flop call keeps queens and draws in their range. Checking controls the pot and keeps some showdown value.

We have a gutshot-plus-wheel draw but little showdown value against a flop bet and call. Checking preserves equity and avoids inflating the pot.

Middle pair of eights has showdown value against a big blind who called the flop and checked back the turn, and betting mostly gets called by better hands and folds out worse. Checking to realize equity is best.

A half-pot river bluff can credibly represent a deuce or a stronger slow-played hand after the turn checked through. Our five-high has no showdown value.

Middle pair facing a one-third-pot river bet only needs 25% equity. Villain's check-call, check-back line includes plenty of missed draws and weaker pairs, so calling is profitable.

97o on the button 3-handed is a reasonable open with a small raise to steal the blinds; it plays fine in position.

7-2 offsuit is far too weak to defend against a button raise from the small blind.

I have a weak offsuit ten-seven and face a raise to 250 with only 150 to call, but this hand plays poorly against the opener's range and I'm out of position. Folding keeps my stack intact for better spots.

KQs is a strong button opening hand in three-handed play. I raise to build the pot with a hand that plays well postflop.

Pocket threes have good implied odds against a wide button open, and calling 200 more is cheap with deep stacks.

Closing the action with 4:1 pot odds, Q6o is a marginal but profitable BB defense, even multiway.

My pair of threes is weak on a three-diamond flop, so I check to see the turn cheaply and avoid building a pot with a vulnerable hand.

Bottom pair with no diamond on a monotone, very wet board in a 3-way pot is a clear check. Betting would only get called by better hands and draws.

With no diamond on a coordinated monotone board and two opponents, checking preserves equity with two overcards while avoiding an unfavorable multiway bluff.

On a four-diamond board my bottom pair of sixes with no diamond has almost no showdown value against any diamond and makes a poor bluff, since any diamond will call. Checking is the cheapest way to see the river.

The checked turn offers a good delayed-continuation-bet spot: I can credibly represent a diamond after raising preflop, while both opponents have shown no aggression. A moderate bet can fold out their many non-diamond holdings.

With bottom pair and no diamond on a four-diamond board, I'm facing a bet into the button raiser and have almost no equity. Folding is clearly correct.

K8s is a playable hand on the button, and raising can put pressure on the blinds to take the pot preflop. If called, I still have position on both opponents.

75o from the small blind facing a button min-raise, with the big blind still to act, is a weak out-of-position hand. Folding saves chips.

Defend the big blind against the button min-raise with a playable jack and favorable pot odds heads-up.

Check back with only a weak jack-high hand and little immediate equity on this coordinated board.

I have only K-high with a backdoor flush draw and a gutshot, so I prefer to take the free card and see the turn rather than build a pot with weak showdown value.

Betting the turn applies pressure after the flop checks while retaining strong equity with an open-ended straight draw.