Showdown Hold'em table

KJo is in the optimal 4x raising range (K5o+).

6h7s is not in the published optimal 4x preflop range, so I check to preserve the option to raise 2x on a favorable flop.

We have an open-ended straight draw (6-7-8) but no made hand or overcards. Checking preserves the option to see two free cards and bet only 1x on the river if we improve, which yields higher expected value than risking 2x now with a weak draw.

We have an 8-high straight (the nuts) with 6-7 on a board of 8-Q-3-5-4, no flush possible; raising 1x guarantees positive expected value vs folding, losing only to impossible better hands.

Any ace is a mandatory 4x raise preflop per optimal strategy.

Q7o is not in the optimal 4x raising range (requires Q8o+), and checking preserves the option to raise on later streets if the board improves.

With top pair on the flop after checking preflop, raise 2x is the optimal play according to Casino Hold'em basic strategy.

Hand is outside the published optimal 4x raising range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so check to see flop.

Holding 9-high with no pair and no draw on a rainbow flop, checking preserves the option to raise 1x or fold on the river based on the final board.

Hole cards 6h2d offsuit and unconnected, well outside the optimal 4x range; checking conserves chips and allows a decision on the flop with more information.

6-high with no pair and no draw on a coordinated board, checking is optimal to minimize losses and preserve river decision.

J5o does not meet the 4x raising criteria (J8s+ or JTo+). Checking preserves chips and allows making a decision after seeing the flop.

J5o no pair no draw on 8-7-4 flop, raising 2x is -EV; checking preserves option to fold or raise 1x on river.

AQo is an ace, which is in the optimal 4x raising range preflop.

QTs is in the published optimal 4x raising range (Q6s+).

J9 offsuit is below the optimal 4x preflop cutoff (JTo/J8s+), so checking preserves the option to raise later on favorable boards.

Pair of jacks on the flop is a strong enough hand to raise 2x for value.

Offsuit 6-7 is not in the predefined 4x raising range; checking is optimal.

I have a pair of sevens, and standard flop strategy says to raise with any pair to maximize EV.

J7o is below the optimal 4x range (JTo+), and raising 3x with a weak offsuit hand is likely -EV; checking allows us to see the flop and invest more only if we improve.

J7o misses the flop with no pair and only weak backdoor draws; raising 2x is -EV, so check to reach the river cheaply.

With Ace-high on a board that is unlikely to have improved the dealer's hand, the probability the dealer fails to qualify or has a worse high card is high enough to make a 1x raise profitable compared to folding. Even though we have no pair, the dealer must beat our A-K-Q-J-7, and many dealer holdings will be unpaired and lower.

J9o is not in the optimal 4x range and is too weak to raise 3x; checking preserves the option to raise later if the flop improves the hand.

J9 offsuit misses the K-high board completely; no pair, no draw. Raising 2x would risk 20 chips with low equity, while checking preserves the option to fold later, minimizing losses.

54s is not in the optimal 4x raising range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking is correct.

Holding a low pair of fours with no draw on a paired king-high board, raising 2x would be -EV; checking preserves the option to raise on the river if the hand improves.

We have two pair (kings and fours) with a 7 kicker, but the board's pair of kings means the dealer always qualifies. Any dealer hole card that pairs the board (7, 3, or the last 4) gives them a better two pair or full house, and a pocket pair above 4 beats us. The expected value of raising is negative given the risk of losing an extra 10 chips.

AJs is a strong hand within the published optimal 4x range (any ace, J8s+), giving high expected value preflop.

95o is not in the optimal preflop raising range; check and see the flop.

Top pair of nines on a coordinated board; raising 2x is positive EV versus checking and playing the river optimally.

K4o is below the optimal 4x raising threshold (K5o+), so check to see the flop and preserve the option to raise 2x on a favorable board.

K4o has no pair or draw on this flop; checking allows us to see the turn and river for free and raise later only if we improve, avoiding a likely losing raise now.

With King-high and no pair, dealer fails to qualify about 38% of the time, making the expected loss of raising (-14.8 chips) smaller than folding (-20 chips).

Any ace is a mandatory 4x raise preflop according to optimal strategy.

T4o is not in the optimal 4x preflop raising range, so check to see the flop with minimal risk.

Hand is weak with no made hand or draw; checking preserves the option to fold on the river if no improvement.

T4o on A-J-8-6-5 board yields only board high card Ace; dealer qualifies with pair or better >96% of the time and beats us otherwise. Raise EV is -28.8 chips vs fold -20, so fold is correct.

9-5 offsuit is not in the optimal 4x range, so I check and wait for the flop.

No pair, no draw on this flop; checking preserves the option to raise or fold on the river.

J2o does not meet the optimal preflop raise criteria (4x with 33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo). Checking is higher EV.

No pair, no draw, and an ace on board; checking is better than risking a 2x raise with such low equity.

2s5s is far below the optimal 4x range and too weak to warrant a 3x raise. Checking lets me see the flop for free and potentially connect with a draw, preserving chips if the flop misses.

Four to a flush on the flop is a strong draw; raising 2x is the optimal play to maximize expected value.

J2o is not in the optimal 4x raising range (requires JTo or better), so checking is correct.

Holding J2o with no pair or draw on an Ace-high flop, checking is optimal to retain the river decision.

QJo is in the optimal 4x raising range (Q8o+) per the published preflop strategy.

84 offsuit is far below the optimal 4x range, and no published 3x range justifies raising; check to see the flop.

We have a pair of tens on the flop, so the basic strategy is to raise 2x with any pair.

Holding any ace qualifies for a 4x raise preflop per optimal strategy.

9d8c offsuit is not in the optimal preflop 4x raising range (requires 33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo). Checking preserves the option to raise on the flop if the board improves the hand.

No pair, no flush draw, only backdoor straight draw; checking preserves the option to fold on the river if we don't improve, which is better than risking 2x with a weak hand.

With 9d8c on this board, we only have a weak pair of sixes with poor kickers. The dealer will qualify with any pair or better, and many hands improve. The river raise costs 10 chips and our win probability is less than 50%, making fold the best expected value decision.

T2s is not in the optimal preflop raising range (needs 33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking is correct.

Weak draw with only a gutshot straight and backdoor flush; checking preserves the option to fold on the river if we miss, maximizing expected value.

J5o is not in the optimal 4x raising range (requires JTo or better), so checking is the correct preflop play.

J5 offsuit on T44 flop is weak with no pair or draw; checking is optimal to see river and avoid a likely losing 2x raise.

K3o is below the optimal preflop 4x range (K5o+), so I check to see the flop and retain the option to raise 2x or fold later.

No pair, no draw on a monotone board; check is optimal.

With only a pair of Kings and no flush, the expected value of raising 1x is negative because the dealer will often have a better hand or a flush, and the potential loss of 30 chips outweighs the gain of 20.