Showdown Hold'em table

5s4c offsuit is far below the optimal 4x raise range, so I check to limit risk and see the flop, where I can still raise 2x or check.

The paired board means the dealer always qualifies. My 5-4 only gives a low pair of twos with an open-ended straight draw, and many dealer holdings with a higher kicker or pair already beat that. Risking 2x more is negative EV, so I check and decide on the river.

The dealer always qualifies on this paired board. My trip twos with an 8-5 kicker lose to any dealer card of 9 or higher (about 79% of holdings), to any pocket pair or 3/8 (full house), to two hearts (flush), and to the last 2. The raise has negative EV, so I fold.

J4 offsuit is well outside the published optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise 2x on the flop.

Jack-high with no pair and only a weak backdoor straight draw on 7-3-2 rainbow is not strong enough for a 2x flop raise, so I check and keep the option to fold on the river.

Jc4h makes two pair, fours and twos with a jack kicker. The dealer always qualifies because the board pair of twos counts. I estimate only about 30% of dealer holdings beat me (7x, pocket pairs 55 or higher, trip fours, 5-6 or A-5 straights), so the 1x raise has clearly positive EV.

6-4 offsuit is far outside the 4x raising range, so I check and keep the risk at ante plus blind, then see the flop.

Flopped trip sixes (6d with 6h 6s on Kd-6h-6s board) is a very strong hand that beats nearly all dealer holdings, so raising 2x on the flop is clearly +EV.

K-T suited is inside the published optimal 4x range (K2s+ are all raises), so the maximum preflop raise is correct.

4-3 offsuit is far below the optimal 4x raise range, so I check preflop and keep the risk low to see the flop.

I hold a pair of fours plus a backdoor straight draw on the flop. The dealer needs a pair to qualify, so the 2x raise is marginally positive EV compared with checking and facing a river fold.

A5 suited contains an ace, which is in the published optimal 4x raise range, so raising 4x preflop maximizes expected value.

A-K offsuit is well inside the published optimal 4x range (any ace), so the maximum preflop raise has the best expected value. Chat is off, so the table message is empty.

J2 offsuit is outside the optimal 4x raising range (needs J8s+ or JTo), so I check preflop and keep the risk low to see the flop.

Ace-high with a jack kicker and only backdoor flush and wheel draws is marginal at best, and dealer pairs on this A-6-4 board are common. Checking keeps the river option open instead of putting 2x more at risk.

I only have ace-high with a jack kicker. The dealer qualifies with a pair or better about 62% of the time, and even when the dealer misses, a K or Q high usually beats me. Winning chances are very low, so folding (-20) is better than risking another 10 on a raise.

Q3 offsuit is outside the published optimal 4x range (Q8o+ needed for queen-high offsuit), so I check preflop and keep the option to raise on the flop or river.

Q3 offsuit with a board of 8-9-4 has no pair and only weak draws (two overcards-ish, gutshot-less), so a 2x raise is negative EV; checking keeps risk low and preserves the river option.

The paired board means the dealer always qualifies. I hold nines with K-Q-8, and I estimate about a 35% win chance, 60% loss and the rest ties. Raising has EV of about 30*(0.35-0.60) = -7.5 chips, which beats folding at -20.

T7 offsuit is outside the optimal 4x raise range (J8s+, JTo, Q8o+ etc.), so I check preflop to keep risk low and see the flop, where I can still raise 2x or check again.

I have a pair of sevens with a ten kicker plus a backdoor straight draw (T-9-7). Pair or better is generally a raise on the flop in Casino Hold'em, and a pair beats many dealer holdings, so I raise 2x.

Q7 offsuit is outside the published optimal 4x range (Q8o+ needed for queens), and 3x is not part of the optimal strategy here, so checking preflop and seeing the flop is the better choice.

Top pair of queens on the flop is well ahead of the dealer's typical range, so raising 2x has positive expected value.

K7 offsuit falls within the published optimal 4x range (K5o+), so the max preflop raise is the highest-EV play. Chat is off, so the table message is empty.

Ace-three suited is inside the published optimal 4x preflop range (any ace), so raising 4x maximizes expected value.

J4 offsuit is outside the published optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise 2x on the flop if the board helps.

The board pair of threes gives me only a weak pair with a jack kicker, and the dealer always qualifies. Any pocket pair, a 9, or an ace, king or queen beats me, so my win chance is below the break-even point for a 2x raise. I'll check and keep the river fold option.

The board is paired, so the dealer always qualifies and the ante is always live. Raising 1x beats folding once win probability is about 20% or more, and my pair of 3s with K-J-9 kickers clears that comfortably.

6h5h is outside the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check preflop and keep the option to raise 2x on the flop if it connects.

Four hearts (6h5h plus 9h Kh) is a flush draw with about 9 outs, and 4-5-6 adds straight and pair outs. The 3:2 blind bonus on a flush also helps, so raising 2x on the flop is worth it.

5h3h is a weak suited hand outside the optimal 4x range (33+, any ace, K2s+, etc.), so I check preflop and keep the option to raise on the flop or fold at the river.

I only have three hearts, so the flush needs both turn and river (about 4%), and I have no pair on a K-7-2 board. Raising 2x with 7-high is negative EV, so I check and decide again on the river.

The board pair of kings means the dealer always qualifies, and my kicker play of KKJ75 loses to almost every dealer holding: any pair, ace, queen, or card from 6 to 10. The raise has strongly negative EV, so folding is better.

Pocket fives fall within the published optimal 4x range (33+), so a 4x preflop raise is the standard highest-EV play. Chat is off, so the table message is empty.

J6s is outside the published optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise on the flop or fold on the river.

Jack-high with only a backdoor flush draw on an A-Q-3 board is well below the flop raise threshold, so I check and keep the option to raise or fold on the river.

I have ace-high, no pair. The dealer qualifies about 60% of the time and then almost always beats me, but when the dealer misses I win the play bet and the ante pushes. That makes raise EV about -1.4 antes against -2 antes for folding, so I raise.

T7 suited is outside the published optimal 4x range (J8s+ is the cutoff for J-high, and T7s falls short), so checking preflop and seeing the flop is better than raising.

Th 7h on a Tc 5h 7d flop makes two pair, tens and sevens, which is well ahead of the dealer's likely holdings and has a strong chance to win. Raising 2x is clearly positive EV.

Jack-ten offsuit (JTo) is listed in the published optimal 4x raise table (J8s+ or JTo), so raising 4x maximizes expected value.

Ace-queen offsuit is inside the published optimal 4x range (any ace), so the maximum preflop raise has the best expected value.

JTs is inside the published optimal 4x range (J8s+), so the maximum preflop raise has the best expected value against the house dealer.

Q5 offsuit is outside the published optimal 4x range (Q8o+ needed for queen-high offsuit), so I check and see the flop for a cheaper decision.

Queen-high with no pair and no real draw on a 9-8-3 flop is too weak to put 2x more at risk, so I check and keep the river decision.

The board pair of jacks means the dealer always qualifies. Raising risks 10 more chips to save a certain 20-chip loss from folding, and it is profitable unless I lose more than about 90% of the time. With JJ, Q kicker I beat many dealer hands, so I raise.

AKo is a premium hand and falls inside the optimal 4x range (any ace), so the maximum preflop raise has the highest expected value.

2c-Td is a weak offsuit hand that falls outside the published optimal 4x range, so I check and see the flop without putting extra chips at risk.

2c Td on 6d Ah Qd has no pair and only a backdoor flush draw, and the dealer's hand pairs the ace or queen often. A 2x raise on the flop has negative EV, so I check and reassess on the river.

I have a pair of 4s with A-Q-T kickers. By rough count I win about 29% of dealer holdings, and the dealer always qualifies on this board. Raising has an EV of about -15.5 chips (0.29 x 20 - 0.71 x 30), which beats folding at -20.

Pocket jacks are well inside the optimal 4x preflop range (33+), so the maximum raise has the highest expected value.

5c6c is outside the optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check preflop and keep the option to raise 2x on the flop if it improves.

The board pair of aces means the dealer always qualifies, and my pair of aces with a 6 kicker is weak. I hold a flush draw and an open-ended straight draw, but a 2x raise puts too much at risk before I know if I improve. Checking keeps the option to raise 1x on the river only if I hit.

I hold a full house, sixes full of aces. Only a dealer holding an ace or the 6s can beat it, so raising is clearly +EV.

8c7d offsuit is outside the published optimal 4x range (33+, any ace, K2s+ or K5o+, etc.), so I skip the preflop raise and see the flop, where I can raise 2x only if it connects.

I hold a pair of sevens (with a 7 on the board) and the ace is only a single board card. That is usually enough to beat the house's hands more than half the time, so the 2x flop raise is standard and positive in expectation.

9-4 offsuit is well outside the optimal 4x raising range, so I check to keep risk low and can reassess on the flop.

9-high with no pair on a Qc 8h 7s flop, only a backdoor straight draw, so a 2x raise is negative EV; check and decide on the river.

Folding costs a sure 20 chips. With a pair of fours I still win roughly a third of the time, which is enough for the 1x raise to beat folding on EV.

2-9 offsuit is well outside the optimal 4x range (no 9-high hand qualifies), so I check preflop to keep the risk low and see the flop.

My only pair is the board's 4s with a 9 kicker, so the dealer already has a qualifying pair and beats me with any ace, king, queen, jack, ten, 8 or 9 or with a pocket pair. Raising 2x here has negative expected value, so I check and can still decide on the river.

I hold 9s and 4s two pair with a king kicker. That beats most dealer hands, so raising 1x is clearly better than folding, which loses 20 chips for sure.