Showdown Hold'em table

9h3d is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

I have two pair (tens and nines) on the flop, which is ahead of most dealer hands. Raising 2x maximizes value with a strong made hand.

T9s is below the published optimal 4x raising range, so checking avoids putting extra chips in preflop with a speculative hand and keeps the flop option open.

Our pair of 3s is weak, but the dealer fails to qualify often enough that raising 1x has a higher expected value than folding, which would forfeit the ante and blind.

87o is outside the published optimal preflop raising range, so I check and preserve the option to raise or fold later based on the flop.

With 2d3h offsuit, this hand is far below the published preflop raising threshold, so checking avoids putting extra chips at risk before seeing the flop.

I have trip 3s on the river, which is strong enough to raise for value; folding would forfeit the ante and blind, while raising risks only one extra ante and can win the play bet plus ante when the dealer qualifies.

9d3d is a weak, unsuited-gapped hand outside the published preflop raising range, so checking avoids putting extra chips at risk before seeing the flop.

My 9-high has no pair, no straight draw, and only a backdoor flush possibility on a dry ace-high flop. Raising 2x with such a weak hand would risk extra chips with little chance to beat a qualifying dealer, so checking and reassessing on the river is best.

With two pair on board and a 9 kicker, raising 1x has slightly better expected value than folding because we win against dealer's low kickers and tie some nines, while folding loses the ante and blind.

5-8 offsuit is well outside the profitable preflop raising range, so I check and avoid committing extra chips with a weak hand.

I have two pair (Queens and Fives) on a paired board, and the dealer always qualifies because the board already contains a pair. My hand beats most dealer holdings, so raising 1x is clearly +EV compared to folding.

98o is below the published optimal preflop raising threshold, so checking avoids putting extra money in with a marginal offsuit hand.

9c3c is well below the published preflop raising range, so checking avoids putting extra chips at risk with a weak, dominated hand.

With 9-high and only a backdoor flush draw against an ace-high board, raising 2x would risk too much with very little equity; checking keeps the hand alive to evaluate the turn and river.

Q4o is below the published preflop raising range (Q8o+), so checking avoids putting extra chips at risk with a weak offsuit hand.

I hold a pair of fours on a K-high flop, which beats any unpaired dealer hand; since the dealer often fails to qualify, the 2x raise adds a play bet that wins in those cases and is clearly +EV versus checking.

Qs9h is Q9o, which meets the published optimal preflop 4x threshold (Q8o+), so raising the maximum is the best expected-value play.

74o is far outside the published preflop raising range, so checking avoids putting extra chips in with a weak hand.

Ks7o is within the published optimal preflop 4x raising range (K5o+), so raising maximizes expected value against the dealer.

K8s falls within the published optimal 4x raising range (K2s+), so raising maximizes expected value versus the dealer.

9s4d is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

Board is two pair Qs and 8s; the dealer always has at least that, so I cannot win but tie often. Raising 1x risks 10 more to lose 30 instead of 20, but with ~57% loss and ~43% tie, EV is about -17.1 versus -20 for folding, so raising is slightly better.

Q2o is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak offsuit hand.

83o is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

My 8-high has no pair and little equity against a dealer who qualifies with any pair; raising 2x would put extra chips at risk with a weak hand, so I check and preserve the option to fold later.

Ad2d is any ace, which is in the published optimal 4x preflop raising range, so I maximize pressure with the strongest legal raise.

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

23s is far below the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

With only a flush draw and weak high cards, checking the flop preserves the option to fold on the river if the draw misses, avoiding an extra 20-chip play bet. Raising 2x would commit too much with a low probability of beating a qualifying dealer.

T8o is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak offsuit hand and lets me see the flop.

9s7d is an offsuit weak hand below the published optimal preflop raising threshold, so checking controls risk and keeps the option to raise later if the flop improves.

9-high with no pair and only a backdoor spade draw on a K-high flop is too weak to raise 2x; checking preserves the option to fold on the river if I do not improve.

Our pair of 3s with 9-8 kickers is weak; the dealer always qualifies with the board pair, and raising 1x has negative EV because we only win when the dealer holds two low unpaired cards, so folding avoids further loss.

Ace-queen offsuit is a strong preflop hand and falls within the published optimal 4x raising range (any ace), so raising maximizes expected value against the dealer.

5c2c is far below the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

I have a 6-high straight (2-3-4-5-6) using 5c with the board 3h4h5h6s, so raising 1x is clearly profitable; folding would forfeit the ante and blind.

5h4s is a weak offsuit hand outside the published preflop raising range, so checking avoids committing extra chips before seeing the flop.

My 5h4s has no pair, no flush draw, and only a very weak backdoor straight possibility on a Q-high flop. Raising 2x would put more chips at risk with little chance to beat a dealer who qualifies with a pair or better, so checking and preserving the option to fold or raise on the river is best.

T8o is below the published optimal 4x raising range, so checking avoids committing extra chips with a weak offsuit hand and preserves the option to raise or fold on later streets.

QTs is within the published optimal 4x preflop raising range (Q6s+), so raising maximizes expected value with a strong suited broadway hand.

8d3s is a weak offsuit hand outside the profitable preflop raising range, so checking preserves the option to raise on a favorable flop or fold later.

With only 8-high and no pair or strong draw on a dry flop, raising 2x would risk too much against a dealer who qualifies with any pair; checking keeps the hand alive to evaluate the turn and river.

Pocket deuces only win when the dealer fails to qualify, which occurs about 30.7% of the time. Raising 1x gains 30 chips in that case versus losing 10 extra when the dealer qualifies, making it slightly +EV compared to folding.

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

Q3o is below the published preflop raising threshold (Q8o+), so checking avoids putting extra chips at risk with a weak offsuit hand.

My Q-high has no pair and the board already gives the dealer at least a pair of fives, so raising 2x would risk chips with very little chance to win. I check to see the turn and river, planning to fold unless I improve enough to beat the dealer.

I have a full house with three queens and two fives, which is far above the dealer qualification threshold and likely best. Raising 1x on the river maximizes value with a very strong made hand.