Showdown Hold'em table

K2o is below the published preflop raising threshold (K5o+), so I check and preserve the option to raise later only if the board improves my hand.

A6o is included in the published optimal preflop 4x range (any ace), so raising maximizes expected value against the house dealer.

94o is well outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With only 9-high and a weak inside-straight draw on a T-3-5 flop, raising 2x would put extra chips at risk with little made hand. Checking keeps the hand cheap and preserves the option to fold or raise on the river.

My best hand is only a pair of 3s with a 9 kicker, and the board pair means the dealer always qualifies. Raising 1x risks 10 more chips with very low win probability, so folding is the better expected-value play.

J8o is below the published optimal preflop raising threshold (JTo+ offsuit), so checking avoids putting extra chips at risk with a marginal hand.

With J8 on an A-T-9 flop, I have a weak open-ended straight draw and no made hand. Checking lets me fold the river cheaply if I miss and only put in more chips when I improve.

I have a 7-J straight on a board with no pair; only a flush beats me, and raising 1x is strongly +EV versus folding.

T2s is below the published preflop raising threshold, so checking avoids committing extra chips with a weak holding.

With only T-high and no pair or draw on a J-7-6 flop, raising 2x would put extra chips at risk with very little equity against a dealer who qualifies with any pair. Checking keeps the hand cheap and preserves the option to fold on the river if the board does not improve.

Pocket fives fall within the published optimal 4x raise range (pairs 33+), so raising maximizes expected value against the dealer's qualifying range.

K9o is within the published optimal 4x raising range (K5o+), so raising maximizes expected value versus the dealer.

T4o is well outside the published optimal preflop raising range, so checking avoids committing extra chips with a weak offsuit hand.

J7s is below the published 4x raising threshold (J8s+ or JTo), so checking preserves the option to raise later only if the flop improves my equity.

My Jc7c missed this A-high flop with no pair or strong draw, so raising 2x would put extra chips at risk with very low equity. Checking keeps the hand alive to see the turn and river, where I can fold if I do not improve.

98o is below the published optimal 4x raising threshold, so checking preserves the option to raise on a favorable flop or fold later.

My 9-high hand has almost no made strength or draw on this A-T-3 flop, so I prefer to check and see the turn and river before committing additional chips.

With 2c3d offsuit, this hand is far outside the published preflop raising range and has poor equity against the dealer, so checking avoids committing extra chips before seeing the flop.

T8o is below the published preflop raising threshold (Q8o+/JTo etc.), so checking preserves chips and keeps the option to raise on a favorable flop.

I have only a weak drawing hand (T8 on Q-A-J) with no pair; checking preserves the option to fold if I miss and to raise 1x on the river if I complete a straight.

I hold Ts, giving me a Broadway straight (A-K-Q-J-T) on the A-K-Q-J-9 board. This beats all pairs, two pair, and trips, and only loses to a flush or ties another T, so raising 1x is clearly +EV.

Ace-high with an ace is in the published optimal 4x raising range, so raising maximizes expected value preflop.

T9o is below the published preflop raising threshold (no pair, ace, or sufficient high-card strength), so checking controls risk and keeps the option to raise later if the flop improves.

T9 offsuit on a K-high, disconnected flop has very little equity and no strong draw; raising 2x would put extra chips at risk with a weak hand, so checking and preserving the option to fold later is best.

Q6o is below the published preflop raising threshold (Q8o+), so checking avoids putting extra chips at risk with a weak offsuit hand.

Q6o on a K-high flop has weak showdown value and no strong draw, so raising 2x would expose extra chips with little equity. Checking keeps the hand alive to reevaluate on the river under the optimal fold/raise decision.

Ace-Jack offsuit is in the published optimal 4x raising range (any ace), so raising maximizes expected value against the dealer.

J8o is below the published preflop raising threshold (JTo+ offsuit), so checking controls risk and keeps the option to raise later if the flop improves my equity.

J-high with no club on a monotone flop has no made hand and little equity; checking preserves the river option to fold or raise 1x rather than committing 2x now.

Kh4h is a suited king, which falls within the published optimal 4x raising range (K2s+). Raising maximizes value with a hand that has strong high-card and flush potential.

J6o is below the published preflop raising threshold (JTo+/J8s+), so checking avoids putting extra chips at risk with a weak offsuit hand.

KQo is a strong preflop hand that falls within the published optimal 4x raising range, so I maximize pressure while the dealer must still qualify.

6d2h is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

My 6-high hand missed a dry K-J-3 flop and has almost no equity against a dealer who qualifies with any pair, so raising 2x would risk extra chips with a weak holding. I check and will reassess or fold on the river unless I improve.

My hand is only ace-high with a 6 kicker on an A-K-Q-J-3 board. The dealer qualifies with any pair or better, and even many unqualified dealer hands (7 or higher, or a ten making a straight) beat me. Raising 1x risks 10 more chips for a very low win probability, so folding is better.

KTo is within the published optimal 4x preflop raising range (K5o+), so raising maximizes expected value with a strong offsuit broadway hand.

QTo falls within the published optimal preflop 4x raising range (Q8o+), so raising maximizes expected value.

Pocket sixes are a pair and fall within the published optimal 4x raising range (33+), so raising maximizes expected value against the dealer.

4s3c is far outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With 4s3c on a Qd Ks 5d flop I have no pair, no draw, and minimal equity against a dealer who qualifies with a pair or better. Raising 2x would risk 20 chips with a near-hopeless hand, so checking and preserving the option to fold the river is clearly best.

K2o is below the published preflop raising threshold (K5o+), so I check and preserve the option to raise later only if the flop improves my hand.

With only K-high and a gutshot on a coordinated A-J-T flop, raising 2x risks too much against a dealer who often qualifies; checking preserves the option to fold or raise on the river if I improve.

With K-high on an A-J-T-5-3 board, folding loses 20 chips, while raising 1x risks 10 more but wins the play bet when the dealer fails to qualify and loses to my king; exact enumeration gives raise EV about -15.8 versus -20 for folding, so raising is the better expected play.

9s2s is well outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

The board is a J-high straight, so I tie unless the dealer holds a queen for a higher straight. Raising 1x risks only 10 more chips and pushes most of the time, making it better than folding and losing the ante and blind.

8-6 offsuit is below the published preflop raising threshold, so I check to see a flop rather than commit 3x or 4x with a weak holding.

I have a pair of sixes on the flop, which meets the optimal strategy threshold to raise 2x and maximize expected value against the dealer.

54o is outside the published optimal preflop raising range, so I check and preserve the option to raise on the flop if the board improves my equity.

With 5-high and no pair or strong draw on a paired board, raising 2x would risk extra chips with very little equity, so I check and reassess on the river.

Player's best hand is trip 7s with K-T kickers; the dealer can only tie or beat this hand, never lose, so raising adds risk with no win equity. Folding loses 20 chips, while raising 1x has worse EV given the high loss probability.

Pocket fours is a pair and falls within the published optimal preflop 4x raising range (33+), so maximizing pressure with the maximum raise is best.