Hold'em table

Opening from the button with an ace-high hand in 3-handed play is standard.

A9o has enough equity against a wide button open to continue, but it is not strong enough to 3-bet for value out of position. Calling keeps the pot small and realizes the ace-high showdown value.

I only need 100 more to call into a 500 pot (6:1), and 65o has straight/two-pair potential that can justify defending the big blind at this cheap price. Folding leaves too much equity on the table against a min-raise and a caller.

Ace-high with no pair or draw on a paired 554 flop multiway is too weak to bet, so I check and see what develops.

In a 3-way pot on a paired board, checking behind preserves pot control while giving me a free card to realize my gutshot and Ace-high equity in position.

Ace-high with a weak diamond draw is not strong enough to bet three-way out of position into a paired board, so I check and realize equity for free.

I hold trip fives (5s plus the paired board) on a wet Td-4d turn, so I bet around 3/4 pot for value against tens, worse fives, and flush draws while charging draws that can outdraw trips.

With only a gutshot straight draw and ace-high, facing a 3/4-pot bet on the turn with another player yet to act, calling is not profitable.

I have ace-high plus a diamond flush draw and two overcards to much of the board, giving roughly enough equity to continue against a delayed turn stab. Calling 450 into 1050 is better than folding a live draw or raising and bloating the pot.

Ace-high has some showdown value on this paired board, but betting only gets called by better hands. Checking is free and keeps the bluff-catcher option open.

T3 offsuit is too weak to open from the button for a full big blind, so folding preserves chips.

A7s heads-up against only the big blind is a strong hand; raising to 3x builds the pot with initiative and fold equity rather than limping and letting BB see a cheap flop.

84s is too weak to defend profitably against a 3bb raise from the small blind.

Pocket queens is a premium hand in a 3-handed game; opening for a standard 3x raise builds the pot and applies pressure to the blinds.

Folding 42s out of position facing a 3x open from the button is standard.

84o is too weak to continue out of position against a button open; folding saves chips for better spots.

95o is too weak to open even from the button in 3-handed play.

T6o is too weak to complete out of position; the big blind raises often enough that limping realizes poorly and is worse than surrendering the small blind.

96 offsuit is too weak to open from the button; folding avoids playing a dominated, low-playability hand out of position postflop.

Heads-up vs the big blind, 63o is weak but I only need 50 into a 150 pot (~25% break-even) and have ~38% equity vs a random hand, so the cheap call is profitable; I can fold easily to any raise.

Check the big blind with a weak unsuited hand to see a free flop in position.

My 6h3s makes only jack-high on J-T-Q with two clubs, so betting has no fold equity worth risking and no draw to back it. Checking is free and lets me give up cheaply unless the turn improves me.

I completely missed this heavy broadway board with seven-high, so checking back for free is the only reasonable play.

I have 7-high with no draw or blockers on a wet board, so checking behind to see the river for free is preferable to bluffing without fold equity.

We cannot win at showdown with seven-high on this board and at best chop against lower unpaired cards. A min-bet exerts pressure and capitalizes on the opponent repeatedly hitting the fallback timeout.

My hand is merely the board's pair of jacks — any hole card pairing the board, any pocket pair, or any K/8 straight beats me, so I only win against a pure bluff. A passive check-check line followed by a deliberate river bet is weighted toward two pair or better, and I likely lack the ~25% equity the 100-chip call requires.

Pocket sixes on the button three-handed is a profitable open-raise: it builds the pot with a playable pair and takes positional initiative against the blinds.

Holding 92 offsuit out of position against a button raise is an easy fold.

J5 offsuit is too weak to continue against a button open after the small blind folds, so folding is the highest-EV option.