Showdown Hold'em table

7-3 offsuit is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

With 7-high and no pair or draw on a K-T-6 flop, raising 2x would put extra chips behind a very weak hand. I check and will reassess on the river, likely folding unless I improve significantly.

My 7-high has almost no showdown value; the dealer qualifies with any pair or better, and raising 1x risks more chips with strongly negative expected value compared to folding.

2-6 offsuit is far outside the profitable preflop raising range, so checking preserves chips and lets me evaluate a cheap flop.

Bottom pair with a weak kicker is unlikely to beat a qualifying dealer hand, and there is no fold equity against the house. Checking controls risk and lets me reevaluate on later streets.

45o is outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak holding.

With 4-5 offsuit on a Q-8-7 flop, I have only a weak gutshot and no pair, so raising 2x would put too much at risk against a dealer who likely has a stronger made hand or better draw. Checking preserves the option to fold on the river if I do not improve.

My best hand is only the board's pair of eights with a seven kicker, and the dealer always qualifies because the board is paired. I can at best tie when the dealer holds two low unpaired cards, so raising risks an extra 10 chips with no chance to win, while folding limits the loss to the ante and blind.

K9s is within the published optimal preflop 4x raising range (K2s+), so raising maximizes expected value against the house dealer.

3s7s is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak, dominated hand.

With 3s7s on a Th Qc 4s flop, my hand is weak and unlikely to beat a qualifying dealer; checking avoids adding a 2x play bet with little equity.

QJo is within the published optimal preflop 4x raising range (Q8o+), so raising maximizes expected value against the house dealer.

2h5d is far outside the published preflop raising range, so I check and avoid putting extra chips at risk with a weak offsuit hand.

My 2h5d has no pair or draw on an A-K-3 flop, so raising 2x would put extra chips at risk with very low equity against a dealer who qualifies with any pair. I check and will decide on the river whether to fold or make the 1x play bet.

My hand is only A-K-Q-J-5 high, and the board gives the dealer many ways to pair or make a straight. With almost all dealer holdings beating me, raising 1x is heavily negative EV, so folding loses the minimum.

Pocket sevens are a strong preflop pair and fall within the published optimal 4x raising range, so raising maximizes value against the dealer.

6d2d is a weak, unsuited low hand outside the optimal preflop raising range, so checking avoids putting extra chips at risk before seeing the flop.

My 6d2d has no pair or meaningful draw on a K-K-7 flop, and the board pair means the dealer already qualifies. Checking avoids risking an extra 2x raise and lets me fold the river if I do not improve.

The board has three kings, so the dealer always has at least trips and usually a better kicker or full house; my 6d2d cannot win and only ties in rare cases. Folding loses 20 chips, while raising risks 30 with no chance to win, so folding is optimal.

4-6 offsuit is far below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak hand.

My 4-6 offsuit missed this flop with no pair, no straight draw, and no flush draw, so raising 2x would put extra chips at risk with very little equity. I will check and reassess on the river.

T7o is below the published preflop raising threshold, so I check and preserve chips rather than raise into a likely weak offsuit hand.

With only T-high and no pair or strong draw on a J-Q-2 flop, raising 2x would put extra chips at risk with very low equity against the dealer. Checking preserves the option to fold on the river if the hand does not improve.

KJs is a strong suited broadway hand and falls within the published optimal 4x raising range (K2s+), so raising maximizes expected value preflop.

2s4d is far outside the published preflop raising range, so I check and avoid putting extra chips at risk with a weak offsuit hand.

I have a pair of 4s on the flop, which is a made hand. The optimal flop strategy is to raise 2x with any pair or better to maximize value against the dealer.

J4o is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak offsuit hand.

My J-high has only weak backdoor and two-card straight potential on a K-T-8 flop, so raising 2x would put extra chips at risk with little made hand or strong draw. Checking preserves the option to fold the river if I do not improve.

Ad4d contains an ace, which is in the published optimal preflop 4x raising range. Raising maximizes value with a hand that has strong high-card and flush potential.

7s6s is outside the published optimal preflop raising range, so checking controls risk and keeps the hand playable to the flop.

With 7s6s on Ks Ts 2d, I have a flush draw but only about 35% to complete by the river. Raising 2x would commit extra chips with insufficient equity, so I check and will raise 1x if I make the flush, otherwise fold.

I hold a made flush (Ks Js Ts 7s 6s) on the river, which beats all but higher flushes/straight flushes; raising 1x maximizes value with a very high win probability.

K6s is within the published optimal 4x raising range (K2s+), so raising maximizes expected value against the dealer.

4-6 offsuit is far outside the published optimal preflop raising range, so I check and avoid committing extra chips with a weak hand.

My 4-6 offsuit has almost no equity on an A-5-5 flop, and raising 2x would put more chips at risk with a weak hand. Checking lets me see the turn and river for free and fold later if I do not improve.

Our hand is a pair of fives with A-K-J kickers, the minimum possible given the board. The dealer always has at least the same pair, so we never win outright; we only tie or lose. Raising 1x risks 10 chips to save the 20-chip ante and blind on a tie. With a tie probability of about 39.7%, the expected value of raising (-18.09) is slightly better than folding (-20).

7-4 offsuit is well outside the published preflop raising range, so checking avoids committing extra chips with a weak hand.

With 7d4s on a Q-K-9 flop, I have no pair, no draw, and little chance to beat a qualifying dealer, so checking avoids adding risk and keeps the option to fold later.

My 7-4 cannot improve the board's pair of kings, so I can only tie or lose; folding saves the extra 1x play bet and loses only the ante and blind.

Ace-Jack offsuit is in the published optimal preflop 4x raising range (any ace), so I maximize pressure with the strongest legal raise.

KJo falls within the published optimal preflop 4x raising range (K5o+), so raising maximizes expected value against the dealer.

2-6 offsuit is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

With 2h6s on an A-J-8 flop, I have no pair, no draw, and very little chance to beat a qualifying dealer; checking avoids adding 20 chips at risk and lets me fold the river if I don't improve.

With two pair (6s and 2s) on the river, I beat most dealer hands; raising 1x is +EV compared to folding which loses the ante and blind.

9-2 offsuit is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

With 9-high and no pair or draw on a K-J-4 flop, raising 2x would risk extra chips with a likely losing hand. Checking takes the free turn and river, preserving the option to fold if I do not improve.

My 9-high cannot beat any dealer hand that qualifies (pair or better), and the dealer qualifies about 60% of the time. The extra 1x raise is slightly negative EV compared to folding, so I fold.

K9s is within the published optimal 4x raising range (K2s+), so raising maximizes expected value with a strong suited king.

J7o is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak offsuit hand.

J7 off on a dry 4-9-3 flop has no pair or draw, so raising 2x would commit extra chips against a dealer who usually qualifies. Checking lets me fold the river if I don't improve, limiting losses.

With J-high and no pair on a K-high board, I only win if the dealer fails to qualify and has a weaker high card; the math shows folding loses less than raising 1x.

J6s is below the published preflop raising threshold (J8s+), so checking avoids committing extra chips with a marginal suited hand.

Q2s is below the published preflop raising threshold (Q6s+), so checking avoids putting extra chips at risk with a weak suited queen.

9-7 offsuit is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak holding.

My 7-9 offsuit missed this K-high flop with no pair, flush draw, or strong straight potential. Checking avoids putting extra chips in with a weak hand and preserves the option to fold on the river if I do not improve.

Pocket fours is a small pair that falls within the published optimal 4x raising range (33+), so raising maximizes expected value preflop.

4s6s is well below the published preflop raising range, so checking avoids putting extra chips at risk with a weak suited low-card hand.