Showdown Hold'em table

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

7-6 offsuit is below the published optimal preflop raising range, so checking avoids committing extra chips with a weak holding.

With only 7-high and no pair on a Q-high flop, raising 2x has no value against the house dealer; checking preserves the option to fold on the river if I do not improve.

I have an 8-high straight using 4-5-6-7-8, which beats all dealer pairs/trips and only ties the rare 6-7. Raising 1x is clearly +EV for value.

Ace-high with an ace is in the published optimal 4x raising range, so I maximize pressure with the strongest legal preflop raise.

Q7o is below the published preflop raising threshold (Q8o+), so checking avoids putting extra chips at risk with a weak offsuit hand.

Top pair with queens on a dry board; raising 2x for value against the dealer's wide range.

9-5 offsuit is far below the published preflop raising range, so I check and preserve the option to raise later if the flop improves my equity.

With 9-high and no pair or draw on a J-high flop, raising 2x would put extra chips at risk with very little equity; checking keeps the hand cheap and preserves the option to fold on the river.

6h2d is far outside the published optimal preflop raising range, so checking avoids committing extra chips with a weak offsuit hand.

With 6-high and no pair or draw on a coordinated flop, raising 2x would put extra chips at risk with very low equity; checking preserves the option to fold later if the hand does not improve.

My 6h2d cannot improve the board's pair of 3s, so I can only tie or lose; the dealer always qualifies and any improvement beats me. Folding loses 20 chips, while raising risks 30 with no chance to win, so fold is better.

J5o is well below the published preflop raising threshold (JTo+/J8s+), so checking avoids putting extra chips in with a weak offsuit hand.

Jack-high with no pair or strong draw is too weak to commit an extra 2x ante raise on the flop; checking preserves the option to fold on the river if the hand does not improve.

With a pair of 5s on the river, raising 1x has an expected value of about -10.9 chips versus -20 for folding. The dealer fails to qualify about 31.5% of the time, and we also win against lower pairs, making the extra 10-chip play bet profitable compared to folding.

Ace-Queen offsuit is a strong preflop hand and falls within the published optimal 4x raising range (any ace), so I raise the maximum to maximize value against the dealer.

QTs is in the published optimal preflop 4x raising range (Q6s+), so I maximize value with the strongest legal raise.

J9o is below the published preflop 4x raising threshold, so checking preserves chips and keeps the hand alive for a flop decision.

I have top pair with a J and 9 kicker on the flop, which is a strong made hand against a random dealer. Raising 2x is the standard value play here and should maximize expected chips when ahead.

76o is outside the published optimal preflop raising range, so checking controls risk and allows a flop decision.

With a pair of sevens, raising 1x has higher expected value than folding (about -5.9 vs -20 chips) because we win over half the time, including when the dealer fails to qualify.

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

With J-high and no pair or strong draw on K-Q-2, raising 2x would put extra chips at risk against a dealer who often qualifies; checking keeps the hand alive and preserves the river option to fold or raise if I improve.

Folding loses 20 chips, while raising 1x risks 10 more but wins 10 when the dealer fails to qualify and has a worse high card. The non-qualifying frequency makes raising slightly better than folding.

J9o is outside the optimal 4x raise table but falls within the standard 3x preflop raising range, so raising 3x builds value with a playable hand while limiting risk compared with 4x.

45s is below the published preflop raising threshold, so I check and preserve the option to raise on the flop if it improves.

I have two pair (kings and fours) on the flop, which is ahead of most dealer hands. Raising 2x maximizes value while the dealer is unlikely to have a king or higher pocket pair.

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

9s5h is a weak offsuit hand outside the recommended preflop raising range, so I check and avoid committing extra chips before seeing the flop.

I have middle pair (nines) on the flop, which is a strong favorite against the dealer's random hand. Raising 2x maximizes value with a high probability of winning.

K4o is below the published 4x raising threshold and too weak to raise 3x preflop; checking preserves the option to raise 2x on a favorable flop.

K-high with no pair or strong draw on a Q-T-3 flop is too weak to raise for value, and checking preserves the option to fold or raise later if the board improves.

K-high can win when the dealer fails to qualify with no ace or king, and the 1x river raise has slightly better expected value than folding (-17.97 vs -20).

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

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

My 4s-Td has only weak high-card value on a 5-6-J flop, so I check and avoid putting more chips at risk without a made hand or strong draw.

With only ace-high and no pair, straight, or flush, the dealer qualifies with any pair or better and will beat us; the 1x raise risks 10 more chips for a small chance to win only the play bet, so folding minimizes expected loss.

9d5h is well outside the published optimal preflop raising range, so checking controls risk and keeps the option to raise on the flop if the board improves.

My 9-high hand has no pair and only a backdoor straight draw, so raising 2x would risk extra chips with little equity. Checking keeps the hand cheap and lets me fold on the river if I do not improve.

With 9d5h on a T-T-J-4-3 board, my best hand is only a pair of tens with a weak 9 kicker. The dealer already qualifies due to the board pair, and many random dealer holdings (any A/K/Q, any 9 with 6-8, any board pair, or any pocket pair) beat me. The river 1x raise has negative EV compared to folding, so I fold.

J2o is well below the published preflop raising range, so I check rather than commit 3x or 4x before seeing the flop.

J-high with no pair or draw on an ace-high flop is too weak to raise; checking preserves the option to fold on the river unless I improve.

My A-high cannot beat any dealer qualifying hand, and the extra 1x raise has slightly worse expected value than folding given the dealer's high qualification rate.

2s5s is far outside the published optimal preflop raising range, so I check and preserve the option to raise or fold later based on the flop.

Weak non-nut flush draw with four spades; raising 2x would risk 20 more chips with only ~35% equity to hit, while checking lets me see turn/river and fold if I miss, limiting losses.

I rivered a flush using 2s5s with the board's three spades, so raising 1x maximizes value against the dealer's qualifying range.

J2o is well below the published preflop raising threshold (JTo+/J8s+), so checking avoids putting extra chips at risk with a weak offsuit hand.

With J-high and an ace on the flop, my hand is too weak to raise for value and has little chance to beat a qualifying dealer pair. I check to preserve chips and see the remaining streets before deciding whether to fold or make a river raise.

I have a pair of jacks, which beats all unpaired dealer hands and many lower pairs; raising 1x is clearly better than forfeiting the ante and blind.

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

4s8d is a weak offsuit hand outside the published preflop raising range, so checking avoids putting extra chips at risk before seeing the flop.

My hand has only the board pair with a weak kicker, so raising 2x would put extra chips at risk with little chance of beating a qualifying dealer. Checking keeps the hand alive to see if I improve on later streets.

I hold two pair (tens and fours) with an eight kicker. The dealer needs a better hand to beat me, and my win probability is about 67%, making the 1x raise clearly profitable compared to folding.

A7o contains an ace, which is in the published optimal 4x raising range, so raising maximizes expected value preflop.

98o is below the published preflop 4x raising threshold and is too weak to raise 3x for value, so I check and preserve the option to raise 2x on a favorable flop.

Weak pair of sixes with only 9-high kicker; checking preserves the option to fold the river if the hand does not improve.

My 9-8 plays as a pair of sixes with only a 9 kicker, and the board pair means the dealer always qualifies. Against a random dealer hand, the 1x raise has slightly worse expected value than folding, so I fold.

T2s is well below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak offsuit/suited hand. I will reassess on the flop if it improves.

My hand is only J-high with no pair, straight, or flush. The dealer qualifies with a pair or better about 61% of the time, and even when they don't qualify, my weak high card often loses. Raising 1x has negative expected value compared to folding, so I fold.

J5o is below the published optimal preflop raising range (J8s+ or JTo), so checking preserves chips and keeps the option to raise later if the flop improves my equity.

My J-high with no pair is weak against a paired board, and the dealer already qualifies with the board pair. Checking preserves the option to fold on the river if I don't improve, avoiding an immediate negative-EV raise.

Our pair of fours with ace-high kicker beats any non-qualifying dealer hand and lower pairs, giving positive expected value compared to folding which loses the ante and blind.

K3o is below the published optimal preflop raising threshold (K5o+ or K2s+), so checking preserves chips and lets me evaluate the flop before committing more.

K-high with no spade and no pair or strong draw is too weak to raise into a dealer who qualifies with any pair. Checking keeps the hand alive for free and lets me fold on the river if I do not improve.

With a pair of kings and roughly 46% equity against the dealer's range, raising the river risks 10 to win 20 (or 10 if dealer misses qualification), which has positive expected value compared to folding and losing 20.