Showdown Hold'em table

4c5s is a weak offsuit hand outside the recommended preflop raising range, so I check and avoid committing extra chips before seeing the flop.

My 4-5 misses this A-T-7 flop with no pair or credible draw, so I check to see the turn and river without increasing exposure.

My 4c5s does not improve the board's pair of aces with T-8-7 kickers, so the dealer can only tie or beat me; raising would add risk with zero chance to win, making folding the better play.

Pocket queens are a premium preflop hand and fall well within the optimal 4x raising range, so raising maximizes expected value against the house dealer.

ATo contains an ace and falls within the published optimal preflop 4x raising range, so raising maximizes expected value against the house dealer.

Pocket sevens are a made pair and fall within the published optimal 4x raising range (33+), so raising maximizes value against the dealer's qualifying range.

As9d contains an ace, which is in the published optimal preflop 4x raising range, so raising maximizes expected value.

4h3d is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With 4-high and no pair or draw on an A-Q-J 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.

I have two pair (4s and 3s) on the river, which beats most dealer hands. Raising 1x has positive expected value compared to folding, which would lose the ante and blind.

T3s is well below the recommended preflop raising range (no ace, low kicker, not connected enough), so checking preserves chips and keeps the option to raise on the flop.

Middle pair without a club on a three-flush board is vulnerable to a flush draw and a higher pair; checking controls risk and allows a river decision.

We hold two pair (tens and threes) on the river. Folding loses 20 chips, while raising 1x risks only 10 more and has a higher expected value because we still beat all dealer high-card hands and weaker pairs. The expected loss from raising is about 4 chips, much better than folding's 20-chip loss.

Q5o is below the published preflop raising threshold (Q8o+ or Q6s+), so checking preserves chips and allows a later flop decision.

My Q-high has no pair on a paired king board, and the dealer already qualifies with at least a pair of kings. Raising 2x would commit extra chips with a weak hand, so I check and will fold on the river unless I improve enough to beat the dealer.

Folding forfeits 20 chips outright, while raising 1x has a smaller expected loss: we win about 42.4%, tie about 7.0%, and lose about 50.6%, giving an EV near -6.7 chips versus -20 for folding.

T7s is below the published optimal preflop raising range (J8s+ or JTo and better), so checking controls risk and keeps the hand playable to later streets.

My Td7d missed this J-high flop with no pair, no straight draw, and only a weak backdoor flush possibility. Raising 2x would put more chips at risk with a hand that rarely beats a qualifying dealer, so I check and preserve the option to fold on the river if I do not improve.

My hand is only king-high with no pair, straight, or flush. The dealer qualifies with any pair, and even among non-qualifying hands I lose to any ace or queen, making a 1x raise slightly negative EV compared to folding.

5s4c is a weak offsuit hand outside the optimal preflop raising range, so I check and preserve the option to raise or fold later.

I have bottom pair on the flop, which is a made hand. According to optimal Casino Hold'em strategy, I should raise 2x with any pair or better on the flop.

T5o is well outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

I have middle pair (tens) on the flop, which beats any non-qualifying dealer hand and many qualifying pairs; raising 2x maximizes value while the dealer must have a higher pair or better to beat me.

K2o is below the published 4x threshold (K5o+), so I check preflop and preserve the option to raise 2x on a favorable flop.

K-high with no pair, no open-ended straight draw, and only a backdoor flush draw is too weak to raise 2x on the flop; checking preserves the option to fold or raise 1x on the river.

I have a K-high flush on a paired board. The dealer can only beat me with an A-high flush, a straight flush, or a full house/quads, which is unlikely. Raising 1x is strongly +EV compared to folding, which would lose the ante and blind.

8d2d is far outside the published preflop raising range, so I check and avoid committing extra chips with a weak offsuit hand.

With 8-high and only a backdoor flush draw, raising 2x would put additional chips at risk with very little equity against a dealer who qualifies with any pair. Checking preserves the option to fold on the river if the hand does not improve.

The board is paired (3s and 3c), so the dealer always qualifies. My best hand is only a pair of 3s with an 8 kicker, and I win only when the dealer's two hole cards are both 6 or lower, which is about 10.6% of the time. Raising 1x has negative expected value compared to folding, so I fold and lose only the ante and blind.

72o is far outside the published preflop raising range and has poor equity against the dealer, so checking keeps additional chips at risk minimal.

My 2h7d missed this Jd9s5d flop with no pair or strong draw, so checking preserves the option to fold on the river rather than committing a 2x raise with a weak holding.

With a pair of 5s on the board, the dealer fails to qualify or has a lower pocket pair often enough that raising 1x is +EV compared to folding, which loses the ante and blind.

8h6s offsuit is below the published preflop raising threshold, so checking avoids committing extra chips with a weak hand and keeps the option to raise or fold later.

My 8-high with only backdoor straight potential is too weak to raise on the flop; checking preserves the option to fold or raise later if the board improves.

My 8-6 makes only a weak pair of sevens with poor kickers, and the dealer qualifies with any pair or better. Raising 1x risks 10 more chips with very low win probability, so folding limits the loss to the ante and blind.

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

My 8-3 offsuit missed this paired board and has almost no showdown value against a dealer who needs a pair or better, so I preserve chips and take the free turn rather than raising 2x.

My best hand is only A-K-9-8-7 high with no pair, straight, or flush, and the dealer qualifies with any pair or better. Raising 1x risks an extra 10 chips with virtually no chance to win, so folding is the better expected-value play.

As7c falls under the published optimal 4x preflop range as any ace, so raising maximizes expected value against the dealer.

Ks7o meets the published optimal preflop 4x threshold (K5o+), so raising maximizes expected value versus checking.

93o is far outside the published preflop raising range, so I check and avoid committing extra chips with a weak offsuit hand.

My 3-9 offsuit missed a paired K-high flop and has almost no equity against a dealer who qualifies with pair or better, so I avoid raising and take the free check.

With two pair (6s and 3s) and a K kicker, the dealer beats us about 53.5% of the time, but we win about 40.2% and tie 6.3%. Raising 1x risks 10 more to win 20, yielding an EV of about -8 chips, which is better than folding's -20 chip loss.

65o is outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With only 6-high on a paired king-high flop, raising 2x would commit chips with very little equity; checking keeps the hand alive to evaluate the river at no additional cost.

My 6-5 cannot beat the board's pair of nines; the dealer always qualifies with at least that pair, and any dealer card 7 or higher improves the dealer's hand. Folding loses only the ante and blind, while raising risks an extra 10 chips with no chance to win and only a small chance to tie.

2s7s is far outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

I have middle pair (7s) plus a flush draw on the flop. Optimal Casino Hold'em strategy raises 2x with any pair or better and any flush draw, so this is a clear value raise.

K3o is below the published optimal 4x raising threshold (K5o+), so checking controls risk and keeps the hand alive to the flop.

With only king-high and a weak flop, raising 2x would put extra chips at risk without a made hand or strong draw. Checking keeps the hand alive to see the remaining cards and decide on the river.

K-high with no pair wins only when the dealer fails to qualify and has a lower high card. Exact enumeration gives raise_1x a negative EV (~-0.43 chips) versus folding, so I fold.

J2 offsuit is far below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak hand.

With only J-high on a paired board and no made hand or strong draw, checking preserves the option to fold on the river rather than risking an extra 2x raise.

The board pairs 6s so the dealer always qualifies, but exact enumeration shows my J kicker wins 205/990, ties 41/990, and loses 744/990. Raising 1x yields positive EV (+1.6 chips) compared to folding.

Q6o is below the published preflop raising threshold (Q8o+), so I check and preserve the option to raise or fold later.

Q-high with no pair and only weak backdoor straight potential is not strong enough to raise 2x against a dealer who qualifies with a pair or better.

I have a pair of queens on the river; folding would forfeit 20 chips, while raising risks only 10 more and wins immediately when the dealer fails to qualify (about 42% of the time). Even against qualifying hands, the raise has better expected value than folding.

3s5d is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With only 3s5d on a 6s7s8d flop, I have a weak gutshot and backdoor flush draw, so I prefer to check and preserve the option to fold or raise on the river rather than commit 2x into a likely trailing hand.

Bottom pair of fives with a straight already on board; dealer frequently makes a straight with any 4 or 9 or beats the pair with a higher pair/two pair. Exact river enumeration makes raise_1x slightly negative EV, so folding is optimal.

Q6o is below the published optimal preflop raising range (Q8o+), so I check and preserve the option to raise or fold on later streets.

With only Q-high on a paired flop and no made hand or strong draw, raising 2x would risk too much against a dealer who can qualify with any pair. Checking keeps the hand alive to see the river at no additional cost.

With a paired board and my Q kicker, raising 1x has positive expected value compared to folding: I win or tie often enough, and folding would forfeit the 20 chips already posted.

Jh7s is outside the published optimal preflop raising range (J8s+ or JTo+), so checking avoids putting extra money in with a weak offsuit hand before seeing the flop.

With only J-high and no flush or straight draw on a Q-high flop, raising 2x would risk extra chips as a likely underdog. Checking keeps the hand alive to see the turn and river, preserving the option to fold later if I do not improve.

With a pair of queens and a jack kicker, I win about 22% of the time against the dealer's random hand, making the 1x river raise slightly better than folding (-18.2 vs -20 EV).

86o is below the published 4x raising threshold, so checking avoids exposing extra chips with a weak offsuit hand.

With 8-high and no pair or draw on a K-T-4 flop, raising 2x would put extra chips at risk with very low equity against a dealer who qualifies with any pair. Checking preserves the option to fold on the river if the hand does not improve.

My best hand is only the board's pair of fours with K-T-9 kickers; the dealer always qualifies and any higher kicker or paired hole card beats me, so raising adds risk without a realistic win path.

Ad9s contains an ace, which is in the published optimal preflop 4x raising range. Raising maximizes value with a hand that has strong showdown potential against the dealer.

T4o is well below the published preflop raising threshold (no pair, no ace, and offsuit T4 isn't in the listed broadway/suited range), so checking controls risk and keeps the 2x flop raise option available.

I flopped two pair (tens and fours), which is well ahead of the dealer's qualifying threshold and strong enough to raise for value. Checking would miss value with a hand that often beats a pair-or-better dealer range.