Showdown Hold'em table

7-3 offsuit is far below the optimal 4x raising range (needs 33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check and wait to see the flop cheaply.

No pair, no draw, and no equity to justify raising with 7-3 on this King-high board; check and reassess on the river.

7-high with no pair, straight, or flush possibility; board shows no help and raising would only add more losses against a likely qualifying dealer hand.

2c6s offsuit is well outside the profitable preflop raising range, so check to see the flop cheaply.

Bottom pair with weak kicker on a flop with an ace overcard; no reason to invest more, better to see the river cheaply.

4s5h is not in the published preflop raise set (no ace, no pair, not suited connector qualifying, low offsuit); best to check and see the flop for free.

4-5 offsuit missed the flop entirely with no draw; checking to see the river cheaply rather than raising with nothing.

My hand is exactly the board's pair of eights with A-Q-7 kickers, so I can never beat the dealer\u2014only tie (if dealer\u2019s two hole cards are both distinct low ranks 2-6) or lose otherwise. With tie probability only ~13%, calling costs more in expectation than folding, so folding is the correct play.

K9 suited falls within the K2s+ optimal 4x raising range preflop.

3s7s is a weak suited hand not on the optimal 4x raise list (needs suited connectors like K2s+, or pairs 33+), so I check to see the flop cheaply.

No pair and only a backdoor flush draw with weak high card (7); better to see the river cheaply before committing chips.

My hole cards (3,7) are both below the board's kickers, so my best hand is just the board's pair of 4s with A-Q-T kickers, which any dealer card of 4,T,J,Q,K, or A (or a pocket pair) beats via two pair, trips, or better kicker; I can never win, only occasionally tie, so folding limits losses versus raising into a guaranteed non-winning spot.

JQ offsuit is a solid but not premium hand, so I raise 3x per the reference strategy rather than 4x.

2h5d is weak, off-suit, no ace/pair/face; not in the optimal raise range, so check and see the flop cheaply.

No pair or draw with 2h5d on this Ah3sKs board; checking to see the river cheaply rather than committing more chips with a weak hand.

With the board showing A-K-Q-J-3, my hand is only high card Ace with a weak five kicker; the dealer is very likely to pair up or hold a higher kicker, so raising is -EV and folding minimizes losses.

Pocket pair 77 falls in the 33+ optimal 4x raising range preflop.

6d2d suited but not connected enough to meet the optimal raise table (needs suited K2+ or similar); check and wait to see flop cheaply.

No pair or draw with 6-2 offsuit against a paired board; checking preserves the option to fold cheaply on the river instead of committing 2x now.

Board already shows trip Kings plus 9,7 kickers; my hole cards (6,2) add nothing, so at best I tie the dealer and lose in ~87% of cases (any dealer card ≥8, a 9, a 7, or a pocket pair completes a better hand). Folding limits the loss to the ante+blind rather than risking an extra bet with no winning outcomes.

4h6s offsuit is well below the published preflop raising range, so I check to see the flop cheaply.

No pair and no live draw with 4h6s on a Td3s8h board; checking to see the river cheaply.

I hold a pair of fours with the board paired at 4s; per standard river strategy any made pair is worth raising since the dealer must qualify and pushes if not.

7-T offsuit is not in the published optimal 4x/3x raising range (needs pair, ace, suited K2+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking to see the flop is correct.

Open-ended straight draw (9 or K) with J-Q-T structure gives strong equity to continue for 2x.

KJ suited qualifies as a strong preflop hand (K2s+) per optimal strategy, warranting the maximum 4x raise.

2s4d offsuit is far below the optimal 4x raise range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check and wait to see the flop.

I only have a weak bottom pair (fours) with an ace-high board and no real draw, so it's not strong enough to commit the extra flop raise; better to see the river cheaply.

Two pair, Aces and Fours, with a Jack kicker is a strong holding on this board and warrants a river raise.

J4 offsuit is not in the published optimal raising range (needs any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo, or a pair), so I check and wait to see the flop.

Only a backdoor spade draw and a two-card gutshot (need Q9 or AQ) with king-high; no made hand, so it's better to check and see the turn/river before committing any raise.

River hand is just king-high with no pair or draw, a clear fold against a house dealer who qualifies with any pair.

Any ace qualifies for the 4x preflop raise per the published optimal strategy table, so I raise 4x with Ad4d.

76 suited isn't strong enough for the preflop raise table; better to see the flop for free and decide there.

I hold a four-card spade flush draw (7s6s with Ts,Ks on board), giving solid equity to complete by the river, so I raise the flop rather than wait to fold on a blank river.

K6 suited falls within the optimal preflop raising range (K2s+), so raising 4x is the +EV play.

4c6d is not in the optimal 4x raise range (no pair, no ace, not suited king/queen/jack combo), so I check and wait to see the flop.

Only a middling board pair of fives with an ace kicker; better to see the turn and river before committing chips.

My hand is exactly the board's pair of fives with A-K-J kickers, so I can never beat the dealer—only tie or lose. But since the dealer only beats me when a hole card pairs with A/K/J/5, forms a pocket pair, or makes the A-K-Q-J-10 straight (about 50% of the time), the expected loss from calling (~15 chips) is smaller than the guaranteed 20-chip loss from folding, so raising is the better play.

7-4 offsuit is well below the optimal preflop raise threshold (needs any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo, or 33+), so checking to see the flop for free is correct.

7-4 offsuit with no pair, no draw against Q-K-9 board; checking to river to see the last card cheaply.

My hand is exactly the board (KK QJ9), so I can never beat the dealer, but I tie whenever the dealer's hole cards don't touch K/Q/J/9 or pair up (~52% of the time). Since ties push everything back, raising has a lower expected loss (~-14.5 antes) than folding (-20 antes), so calling is the +EV play.

Ace-Jack offsuit is a standard 4x raise per the published preflop chart (any ace qualifies), maximizing value preflop.

KJ offsuit falls within the K5o+ raising range from the published optimal preflop table, so raising 4x is standard.

2-6 offsuit is not in the published raising range, so I check preflop and wait to see the flop for free.

2h6s missed the board completely with no pair or draw; checking to the river costs nothing and lets me reassess with all five cards.

I have two pair (sixes and deuces) which is a strong river holding in Casino Hold'em, well above the fold threshold.

2d9c offsuit is well outside the published raise range (no ace, no pair, not qualifying king/queen/jack combos), so I check and wait for the flop/river decision.

No pair, no draw, and only high card King-Jack-9 - too weak to invest a raise now; better to see the river cards first.

No pair, no draw completed—2d9c on a J-4-K-6-Q board is just high card, so folding minimizes loss versus raising into a likely dealer pair or better.

K9 suited falls within the published optimal preflop raising range (K2s+), so raise 4x.

J7 offsuit doesn't meet the published optimal raise criteria (any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo, or pair), so checking preserves optionality for the flop.

Jd7h on a 4-9-3 board is just jack-high with no pair, draw, or real equity; not worth raising, so check and see the river cheaply.

Jd6d is not in the published preflop raise range (not J8s+, not any ace, not a pair), so I check and wait to see the flop.

Board is paired but my hand is just an 8-8 pair with a jack kicker via the board; not strong enough to commit an extra bet now, better to see the turn/river first.

I hold two pair, Jacks and Eights, with a board that already pairs (88); this is strong enough to call the river bet against the dealer's range.

Q2 offsuit doesn't meet the recommended preflop raise criteria (needs any ace, K5o+, Q8o+, etc.), so I check and wait to see the flop before committing chips.

The board already pairs jacks, so my Q-kicker (higher than the unpaired 4) gives me a solid top-pair hand that beats most random dealer holdings; raising here follows the standard paired-board strategy of betting when my kicker outranks the board's side card.

7-9 offsuit doesn't meet the optimal preflop raising criteria, so checking to see the flop cheaply is best.

No pair and only a mediocre inside/open-ended straight draw with two cards to come; checking preserves equity without committing extra chips on a marginal hand.

I hold a pair of nines with a king kicker; the extra 1x bet is small and dealer will often fail to qualify or hold a worse hand, making the call profitable.

Pocket pair (44) qualifies for the 4x raise per the published optimal preflop table (33+), so I raise for maximum value on this final hand.

4s6s suited is below the optimal preflop raising threshold (needs pair, ace, or stronger K/Q/J combos), so check and see the flop for free.

I have two pair (nines and sixes) with a decent kicker, a strong holding to raise on the flop.