Showdown Hold'em table

Any ace is in the published optimal 4x preflop raise range for Casino Hold'em, so A3 offsuit is a 4x raise.

3h2h is far outside the optimal 4x preflop range, so I check and see the flop, keeping the option to raise 2x or fold on the river. Chat is off, so the table message is empty.

3-2 of hearts on Q-8-K is just a backdoor flush draw with no pair and no overcards. That is too weak to put 2x more ante at risk on the flop, so I check and decide again on the river.

The board A-K-Q-T-8 is all I have, and 3h2h adds nothing. The dealer beats it with about 81% of holdings (any pair, a J, a 9, pocket pairs, or two clubs) and otherwise only ties, so I never win. Raising has EV about -24 against -20 for folding.

Ace-high hands like A7o are in the published optimal 4x range (any ace), so raising 4x preflop maximizes expected value against the house dealer.

Ace-x hands are in the published optimal 4x preflop raise range (any ace), so A4 offsuit gets the maximum raise. Chat is off, so the table message is empty.

Pocket eights are in the published optimal 4x range (33+), so the maximum preflop raise has the best expected value.

Ace-high hands are in the published optimal 4x range (any ace), so the maximum preflop raise is the highest-EV play with A-T offsuit.

9-3 offsuit is far outside the optimal 4x raise range (the 9s hands need to be much stronger), so checking preflop keeps risk low and lets me see the flop before deciding on a 2x raise.

Middle pair of nines on a Js-9h-5s flop is a solid made hand against a random dealer holding, so the 2x raise has positive expected value.

7-2 offsuit is far outside the 4x range and a weak hand, so I check and see the flop for free without raising.

7h 2c on an 8s Kd Jh flop is just seven-high with no pair, no real draw and only a gutshot-ish backdoor, so a 2x raise has negative expected value. Checking keeps the loss small and lets me decide again on the river.

The board pairs 8s, so the dealer always qualifies, and my 7 kicker loses to almost any dealer holding with an A, K, Q, J, 10, 9, 7, 5 or a pocket pair. I win only about 8% of the time, so raising is about -2.6 antes versus -2 for folding.

Ace-x hands are in the published optimal 4x preflop range (any ace), so A2o is a 4x raise. Chat is off, so the table message is empty.

5-T offsuit is outside the optimal 4x raise range, which covers 33+, any ace, K5o+, Q8o+ and JTo. Checking preflop keeps the option to raise on the flop or fold on the river.

Tens and fives (two pair) on the flop is well ahead of the dealer's range, so the 2x raise has clearly positive expectation.

K6 offsuit falls within the published optimal 4x range (K5o+), so a 4x preflop raise is the correct play. Chat is off, so the table message is empty.

T9 offsuit is outside the published optimal 4x preflop range, so I check and keep the option to raise 2x on the flop or 1x on the river.

Two pair, tens and nines, on an Ace-high flop is well ahead of most dealer holdings, so the 2x raise has clear positive expectation.

J-T offsuit is in the published optimal 4x preflop raise range (JTo), so raising 4x maximizes expected value.

8-2 offsuit is outside the optimal 4x raising range, so I check preflop and keep the option to raise on the flop or fold on the river.

8-2 offsets on a K-J-9 flop has no pair and only a weak straight draw needing two specific cards, so raising 2x is negative EV. Checking keeps the option to fold or raise 1x on the river.

My pair of deuces beats the dealer only when they miss a pair, about 41% of the time. Raising 1x has EV of roughly -13.7 chips, which beats folding at -20.

5-2 offsuit is a weak hand outside the optimal 4x raise range, so I check preflop and keep the option to raise on the flop or fold on the river.

I hold only a pair of fours with a weak 5 kicker, and the board pair guarantees the dealer qualifies. Almost any dealer card above a 5 beats me, so a 2x raise has negative expectation. I will check and re-evaluate on the river.

I have two pair, fours and twos with a queen kicker. The board pair of fours means the dealer always qualifies. By my count the dealer beats me with roughly 39% of holdings (any 4, Q or 8, pocket pairs above fours, 2 with K or A), so the 1x raise has clearly positive expectation, while folding loses 20 chips for sure.

6-3 offsuit is far outside the 4x raising range and a weak 3x holding, so I check preflop to keep risk low and see the flop, where I can raise 2x or check again.

6d3c on Ad8d7s has no pair, only a backdoor flush draw and a weak straight draw, so equity against a dealer who qualifies with any ace is too low to risk a 2x raise. Checking keeps the option to raise 1x or fold on the river.

6d-3c with the board makes a 6-high straight (6-7-8-9-T). Only a dealer holding a Jack (7-J straight) beats it, about 17% of holdings, so raising 1x is clearly +EV.

Any ace is in the published optimal 4x preflop raise range for Casino Hold'em, so A3 offsuit is a 4x raise.

K6 suited falls within the published optimal 4x range (K2s+), so raising 4x is the correct preflop play. Chat is off, so the table message is empty.

9h6h is a suited 9-high hand, outside the optimal 4x raising range, so I check preflop and keep the flop raise option open.

My hand is only the board's aces with a 9 kicker, so any dealer ace, pair, or K/Q/J/T kicker beats me. The dealer always qualifies on the board pair of aces, so a 2x raise here has negative expectation. Checking keeps the river fold available.

The dealer always qualifies on this AA board and beats my pair of aces with any diamond flush, any A/K/Q/J/10 kicker, any pair, or 8/3/2 two pair. I win only about 5-6% of the time, well below the 20% needed to raise, so folding loses less.

QTo falls inside the published optimal 4x range (Q8o+), so a 4x preflop raise is the highest-EV play.

Pocket kings are a premium hand and well inside the optimal 4x range, so the maximum preflop raise has the highest expected value.

K9 offsuit is inside the published optimal 4x range (K5o+), so a 4x raise maximizes expected value.

T9 suited is outside the published 4x range (J8s+ is the cutoff for jacks, and T9s is not listed), so I check preflop and keep the option to raise 2x on the flop.

Flop gives me top two pair (Tens and Nines) with a backdoor flush draw, a strong made hand against the house, so raising 2x on the flop is clearly positive EV.

5s Ts is not in the 4x raise range (T-high suited with a 5 kicker is weak), so I check preflop and see the flop to keep the risk low, with the option to raise 2x there.

Tens and eights (two pair) on the flop is well ahead of the dealer's likely holdings, so the 2x raise has clearly positive expected value.

Q-T offsuit is inside the published optimal 4x range (Q8o+), so a 4x preflop raise maximizes expected value.

Pocket aces are the strongest starting hand and are well inside the optimal 4x range, so the maximum preflop raise maximizes expected value.

Q6 offsuit is outside the published 4x range (Q8o+ or Q6s+), so I check and see the flop before deciding on a 2x raise.

Queen-high with only a backdoor club flush draw and a gutshot-type straight draw is too weak to put 2x more at risk on the flop. Checking keeps the river option open.

I hold an 8-high flush (8c 7c 6c 5c 3c). Only a dealer holding Ac, Kc, Qc, Jc, 10c or 9c beats it, which is about 249 of 990 holdings (~25%). That makes the 1x raise clearly positive EV compared with folding.

7-T offsuit is outside the optimal 4x raising range (33+, any ace, K5o+, Q8o+, J8s+, JTo), so checking preflop and re-evaluating on the flop is the best play.

Pair of tens (top pair) on the flop is well ahead of the dealer's range and has some straight potential, so the 2x raise has positive expectation.

7-8 offsuit is outside the published optimal 4x range (33+, any ace, K5o+, Q8o+, J8s+, JTo), so I check and re-evaluate on the flop with only the ante and blind at risk.

I hold eights and sevens (two pair) on a Js-8s-7h flop, which is well ahead of the dealer's likely range, so the 2x raise has clear positive expected value.

QJo falls inside the published optimal 4x range (Q8o+), so a 4x preflop raise maximizes expected value.