Hold'em table

76 offsuit is too weak to open profitably even from the button in a 3-handed game.

A7o is a strong heads-up hand from the SB against only the BB; raising builds the pot with an ace and applies fold equity rather than limping.

A8o has enough equity against a wide small-blind open after the button folds, and the price to call is reasonable heads-up.

I only have ace-high on a K-K-6 board, and the big blind's preflop call range (any king or pocket pair) rarely folds to a continuation bet. Checking realizes my equity cheaply and lets me fold if they show aggression.

Ace-high has some showdown value on KKx after the preflop raiser checks, and there is no price to continue. Checking avoids turning a weak made hand into a bluff.

My ace plays as the best kicker against a king-heavy checking range, and a half-pot bet denies free heart draws while extracting from Kx and weaker aces. I can comfortably fold if raised, so the risk is small relative to the 600 pot.

Ace-high with no pair or draw on a paired board is too weak to continue against a turn bet. Folding avoids putting more chips in with little equity.

J4 offsuit is in the bottom of the hand range and plays poorly multiway, often dominated when called. Even with button position, both limping and raising this hand are marginal at best, so folding preserves chips for better spots.

Jack-four offsuit is too weak to complete or raise out of position against the big blind after the button folds. Folding avoids playing a dominated, low-playability hand.

86o is too weak to open even on the button in three-handed play; folding avoids a dominated, poorly connected hand.

Folding 95o from the small blind as it is too weak to complete or raise out of position.

KQ suited is a premier hand on the button in 3-max; opening with a standard 2.5bb raise to build a pot in position.

K2s from the SB is dominated and rarely playable against a 2.5x raise; folding avoids wasting chips in a marginal spot.

Q5 offsuit is too weak to defend the big blind against a button open; calling 150 more has poor equity and reverse implied odds, so folding is best.

Pocket threes are a clear button open in 3-handed play; raising to 3bb builds the pot with a playable pair and puts pressure on both blinds.

T6 offsuit is too weak to continue from the small blind against a button open, especially with the big blind still to act. Folding avoids putting more chips in with a dominated, low-equity hand.

In the big blind against a button open, QTo has sufficient equity and favorable pot odds closing the action to justify defending.

Check to the preflop aggressor out of position with top pair decent kicker, planning to call standard continuation bets.

As the preflop raiser in position against a BB who checked a Q-high flop with two hearts, a continuation bet pressures their wide, capped checking range and often takes it down. My small pair has little equity when called, but the fold equity makes a half-pot stab profitable.

I have top pair with a decent ten kicker on a relatively dry queen-high board. Calling the half-pot c-bet is standard to keep the opponent's bluffs in and keep the pot manageable.

I have top pair with a marginal kicker out of position, making a check standard to control the pot size and let the button continue bluffing or check behind.

My underpair 33 has almost no equity when called here, and a turn bluff would mostly fold out A-high hands I already beat while pairs and heart draws correctly continue. Checking back is free and preserves the small chance my pair wins at showdown if they give up with air.

I have top pair with a decent kicker on a dry runout, and checking gives me good showdown value while potentially inducing bluffs from missed draws.

My pair of threes has decent showdown value against missed draws and A-high/low pairs that check-called flop, but almost no value-betting potential since every Qx, 9x, or better pair calls and worse hands fold. Checking realizes maximum equity at no cost.

42 offsuit is near the bottom of all hands and has poor playability even on the button, so calling or raising the big blind is -EV. Folding preserves the full stack for better spots.

Holding 73 offsuit out of position against the big blind is an easy fold.