Showdown Hold'em table

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

Pocket threes are in the published optimal preflop 4x raising range (33+), so raising maximizes expected value against the dealer.

4s2c is a weak offsuit hand outside the profitable preflop raising range, so I check and avoid putting extra chips at risk before seeing the flop.

Weak bottom pair with poor kicker; checking preserves the option to fold or raise on the river based on improvement.

My hand is only a pair of 2s with weak kickers, and the board has four diamonds giving the dealer many flush possibilities. The dealer qualifies with any pair or better, so raising 1x has negative EV compared to folding.

9-6 offsuit is well outside the published optimal preflop raising range, so checking avoids committing extra chips with a weak hand.

With a pair of nines on the flop, I have a made hand that is ahead of the dealer's random range. Raising 2x maximizes value when I am ahead, and the dealer's qualification rate makes this a positive expected value play.

2-3 offsuit is far below the optimal preflop raising threshold, so checking preserves chips and allows a free look at the flop.

Optimal flop strategy raises 2x with any pair or better. Bottom pair 2s is ahead of dealer's random hand and has positive expected value.

3h9s is a weak offsuit hand outside the recommended preflop raising range, so checking avoids putting extra chips at risk before seeing the flop.

My 3-9 offsuit missed this Q-T-5 flop with no pair, straight draw, or flush draw, so raising 2x would risk extra chips with very little equity. Checking keeps the hand cheap and lets me fold later if the board does not improve.

My Q-high has no pair and the dealer qualifies with any pair or better; raising 1x risks an extra 10 chips with only a small chance to win, so folding preserves chips.

Q2 offsuit is well below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak hand.

My Q-high with no pair on a paired board is far too weak to raise into a dealer who qualifies with any pair; checking costs nothing and lets me see the turn and river before deciding whether to raise 1x or fold.

With Qd2s on a 5-4-5-A-7 board, I have only ace-high with no pair and no straight or flush draw completed. The dealer qualifies with any pair, and even a single pair beats me, so raising 1x has poor expected value. Folding loses only the ante and blind already posted.

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

K8o is within the published optimal preflop 4x raising range (K5o+), so raising maximizes expected value against the dealer.

9-6 offsuit is outside the published optimal preflop raising range, so I check and preserve the option to raise later if the flop improves my hand.

I have middle pair with a backdoor straight draw; raising 2x maximizes value against the dealer's random hand and avoids folding later.

Q3o is below the published preflop raising range (Q8o+), so I check and preserve the option to raise later if the flop improves my equity.

I have an open-ended straight draw (2-3-4-5) needing an A or 6, plus an overcard Q and a backdoor flush draw. This is a strong drawing hand with high equity, so raising 2x is optimal.

K2s is at the published optimal 4x threshold (K2s+), so raising maximizes expected value preflop.

Pocket kings are a top-tier preflop hand and clearly in the optimal 4x raise range. Raising maximizes value against the dealer with a strong chance to win the ante, play bet, and possibly the blind.

T8o is below the published preflop raising threshold (Q8o+/JTo+), so checking avoids putting extra chips at risk with a weak offsuit hand.

I hold middle pair (tens) on a Q-T-7 flop. Optimal Casino Hold'em flop strategy raises 2x with any pair or better, so I raise.

As4d contains an ace, which is in the published optimal preflop 4x raising range, so I maximize pressure with the strongest legal raise.

Pocket nines are a strong preflop hand and fall within the published optimal 4x raising range (33+), so raising maximizes value against the dealer's qualifying range.

K7o is within the published optimal preflop 4x raising range (K5o+), so raising maximizes expected value against the house dealer.

T6o is below the published preflop raising threshold, so I check and preserve the option to raise or fold on later streets.

I flopped a full house (sixes full of tens), which is far ahead of the dealer's qualifying range. Raising 2x maximizes value with a very strong made hand.

K2 offsuit is below the published preflop raising threshold (K5o+), so checking preserves chips and keeps the option to raise or fold later based on the flop.

King-high with no pair or draw on a disconnected flop is too weak to raise; checking preserves the river option to fold or raise if I improve.

K-high has enough equity against a random dealer: the dealer fails to qualify often, and when we win the play bet pays +10 while a non-qualifying loss costs the same as folding. The 1x raise is slightly positive EV versus folding.

4s2h is far below the published preflop raising range, so checking avoids committing extra chips with a weak offsuit hand.

We have a pair of deuces plus a four-flush draw. In Casino Hold'em, any pair on the flop warrants a 2x raise to maximize value.

2d4c is far outside the published preflop raising range, so checking avoids putting extra chips in with a weak hand.

Bottom pair with weak kicker; dealer qualifies with any pair, so raising 2x risks too much. Checking allows seeing turn and river and folding if the board pairs or the hand doesn't improve.

With a pair of 2s, we only win when the dealer fails to qualify (no pair). Given 420/990 winning non-qualifying hands and 30/990 ties, raising 1x yields an expected loss of ~12.1 chips, which is better than folding's certain loss of 20 chips.

Pocket deuces are below the optimal preflop raising threshold and cannot improve to a set, so checking preserves chips and lets me evaluate the flop before committing more.

With only a small underpair (22) on a J-8-4 flop, raising 2x risks too much against a dealer who frequently has a pair or better. Checking preserves the option to fold on the river unless I improve substantially.

With only a pair of deuces, any qualifying dealer hand (pair or better) beats us, and the dealer fails to qualify too rarely to make the 1x raise profitable compared to folding.

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

A7o is an any-ace hand in the published optimal preflop 4x raising range, so raising maximizes expected value against the dealer.

K5s is within the published optimal 4x raising range (K2s+), so raising maximizes expected value preflop.

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

Jh9h is a suited J9, which falls within the published optimal preflop 4x raising range (J8s+). Raising maximizes expected value with a hand strong enough to play aggressively.

Ace-rag is included in the published optimal 4x raising range, so raising maximizes expected value versus the house dealer.

8h6s is a weak offsuit hand outside the recommended preflop raising range, so checking avoids putting extra chips at risk before seeing the flop.

I flopped three eights, which is a very strong hand against the dealer. Raising 2x maximizes value with a likely best hand.

K2o is below the published 4x raising threshold (K5o+/K2s+), so I check and preserve the option to raise 2x on a favorable flop.

K-high with no pair or strong draw on a J-T-5 flop is too weak to raise 2x; checking preserves chips and allows a river raise only if I improve.

With a pair of deuces and a K kicker, raising 1x risks only 10 more chips. Folding loses 20, while raising has better expected value because the dealer often fails to qualify or holds a weaker pair of deuces.