Showdown Hold'em table

J6 offsuit is outside the published optimal 4x preflop range (needs J8s+ or JTo), so I check and decide on the flop.

Jc 6s on a 3d 9s 5s flop has no pair and only backdoor flush and straight draws. That is too weak to risk 2x more, so I check and see the river.

The board pair of nines means the dealer always qualifies. My nines with a jack kicker win roughly 40% of the time, and folding only pays off below about 20%, so raising 1x has the better expected value.

AKs is a premium hand and falls inside the published optimal 4x range (any ace), so the maximum preflop raise has the highest expected value. Chat is off, so the table message is empty.

J4 suited is outside the published optimal 4x preflop range (J8s+), so I check and will decide on the flop.

Jack-high with only a one-card draw to a straight (any ten) is too weak to put 2x at risk on the flop. Checking keeps the river option to raise 1x or fold.

The paired board means the dealer always qualifies, and I hold only a pair of sevens with Q-J-9 kickers. I beat roughly 19% of dealer hands, since any A, K, 8, 9, Q or J, any pocket pair, or a 5-6 or 6-10 straight beats me. Raising has an EV of about -20.5 chips against -20 for folding, so folding is marginally better.

Ace-five offsuit falls under 'any ace' in the published optimal 4x preflop range, so the maximum preflop raise is the correct play. Chat is off, so the table message is empty.

6-7 offsuit is outside the optimal 4x raise range (33+, any ace, K5o+, etc.), so I check and see the flop for a cheap decision rather than risk 4x ante.

Top pair of sixes with a 7 kicker (plus some straight draw potential) is well ahead of a random dealer hand, so the 2x flop raise is positive EV.

J2 offsuit is outside the optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise on the flop or river.

Jack-high with no pair and only runner-runner straight outs is too weak to put 2x more at risk on the flop, so I check and keep the option to fold on the river.

I have only ace-high (A J T 9 6) on the river. The dealer qualifies about 60% of the time and then beats me. Estimated EV of raising is about -20.6 chips versus -20 for folding, so folding is marginally better.

7-3 offsuit is far outside the optimal 4x range, so I check and see the flop for free, then decide on a 2x raise or another check.

I hold a pair of sevens (7h with the board's 7s) on a 2-7-K flop. A made pair is generally a flop raise in Casino Hold'em, because it beats most dealer holdings and risks only 2x the ante.

6d7d is outside the published 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo) and is a weak suited connector, so I check preflop and see the flop to decide on a 2x raise or a river decision.

Middle pair of sevens with backdoor straight and flush outs should beat the dealer's range often enough that the 2x flop raise is positive EV, compared with checking and facing a likely river fold-or-1x decision.

Ace-five offsuit falls under the published optimal 4x table (any ace), so the maximum preflop raise is the correct play. Chat is off, so the table message is empty.

K7 offsuit is inside the published optimal 4x range (K5o+), so a 4x raise preflop maximizes expected value.

6-5 offsuit is far outside the optimal 4x range, so I check preflop and see the flop for free before deciding whether to raise 2x.

I have an open-ended straight draw with no made pair, and the board has an ace that gives the dealer pair chances. Checking lets me see the turn and river for free and keep the cheaper 1x river raise or a fold, which should beat putting 2x in on roughly 40% equity.

6h with the Ah, 7h, 5h and Qh on the board makes an ace-high flush. Only a dealer holding the Kh beats it, so the 1x raise is strongly positive.

J8 offsuit is outside the published 4x preflop range (J8s+ or JTo), so I check and decide on the flop with more information.

J-high with no pair, no flush or straight draw, and a board of K-3-2 is weak; the dealer is likely to pair up and qualify, so checking to see the river avoids risking an extra 2x ante on a marginal hand.

I hold only ace-high on a board with A-2-3-4, so any dealer 5, any pair, or any board-rank match beats me. Raising has an estimated EV of about -21.8 chips against -20 for folding, so folding is slightly better.

K9 suited is in the published optimal 4x range (K2s+), so the 4x raise has the highest expected value.

8d7d is outside the optimal 4x range (33+, any ace, K5o+, Q8o+, J8s+, etc.), so I check preflop and keep the option to raise 2x on the flop if it connects.

8d7d has no pair on a Tc Jc 2s flop, only a gutshot to a 9 and a backdoor flush draw. Raising 2x would put 20 extra chips at risk with weak equity against a dealer who qualifies with any pair, so I check and decide again on the river.

I only have ace-high (A J T 8 7). The dealer qualifies about 61% of the time and would beat me, and often out-kicks me even when unqualified. I estimate raising at about -22 chips versus -20 for folding, so I fold.

Ace-x offsuit (A4o) is in the published optimal 4x range (any ace), so raising 4x preflop maximizes expected value. Chat is off, so the table message is empty.

J9 offsuit is outside the published 4x raising range (J8s+ or JTo), so I check and decide again on the flop.

J9 offsuit has no pair and no real draw on a 3d 5h 7d board, so the flop is too weak for a 2x raise. Checking keeps the option to raise 1x or fold on the river.

I only have jack-high on a board with no pair, and the dealer wins with any pair, a six, or an A/K/Q high card. I estimate raise EV at about -24 chips versus -20 for folding, so folding is better.

3-6 offsuit is far outside the optimal 4x raising range, so I check and keep the option to raise 2x on the flop or 1x on the river.

Bottom pair of threes with a 9 on the board is beaten by most dealer hands that qualify, so a 2x raise has negative expectation. Checking keeps the river option open, where I can raise 1x or fold.

Trip threes with a 9 and 6 kicker is a strong made hand. Only a few dealer holdings beat it: a 4 with an ace or six for a straight, or a pocket 9s, 5s or 2s for a full house. Raising 1x has clearly positive expected value.}

4-9 offsuit is far outside the optimal 4x range (33+, any ace, K5o+, etc.), so I check to see the flop and keep the risk low.

9-high with no pair and only a weak 3-4-5 straight draw, which needs two running cards, is not strong enough to put 2x on the flop. Checking keeps the option to raise 1x or fold on the river.

I only have a pair of threes (the board pair) with a J-9-5 kicker. The dealer always qualifies and beats me with any card of ten or higher, any pair, or a 5 or 2 for two pair. I win or tie in only about 10% of cases, so calling loses more than the 20-chip fold.

6h Jd is offsuit with a weak 6 kicker, outside the optimal 4x range (J8s+ or JTo), so I check preflop and see the flop at no extra cost.

Jack-high with 6 on a 5-9-3 flop has no pair and only a weak backdoor straight draw, so a 2x raise has negative expectation. Checking keeps the option to decide on the river.

My two pair (fives and threes, jack kicker) loses to any dealer Q/K/A, 9, 5, 3, or a pair of 4, 6, 7, 8, 10 or higher. That is about 789 of 990 dealer holdings, with about 57 ties. Raising has EV of about -21 chips against -20 for folding, so folding is marginally better.

Pocket aces are the strongest starting hand, so the maximum 4x preflop raise maximizes expected value. Chat is off, so the table message is empty.

T8 suited is outside the published 4x range (J8s+ is the cutoff), so I check and decide on the flop with more information.

I hold a pair of eights plus a four-card spade flush draw (8s Ts with As 2s on board). That is a clear 2x raise on the flop, since the pair usually beats a dealer who needs a pair to qualify and the flush draw adds outs.

3-4 offsuit is far outside the 4x raising range (33+, any ace, etc.) and is a weak hand, so I check to see the flop and keep risk small, since chat is off and the message must be empty.

The board pair of queens means the dealer always qualifies, and my 7-4-3 kickers lose to most dealer holdings. A 2x raise would put more chips at risk with negative expectation, so I check and decide again on the river.

I hold queens with an ace, jack and 7 kicker. The dealer beats me with any card above a 7, any pair, or any two pair, so I win only about 13% of the time. Raising has an EV of roughly -23.5 chips against -20 for folding, so I fold.

K-J offsuit is in the published optimal 4x range (K5o+), so a 4x raise preflop maximizes expected value. Chat is off, so the table message is empty.

Ace-queen offsuit is in the published optimal 4x range (any ace), so the 4x preflop raise is the highest-EV play. Chat is off, so the table message is empty.

JTo is in the published optimal 4x preflop raise range (J8s+ or JTo), so raising 4x maximizes expected value.

K-Q offsuit is inside the published optimal 4x range (K5o+), so raising 4x is the expected-value-maximizing preflop play. Chat is off, so the table message is empty.

6-T offsuit is not in the optimal 4x range (T-high is weak), so checking preflop keeps risk low and lets me see the flop before deciding on a 2x raise.

6h Td on a Qh 7c Ac flop is unpaired ten-high with no real draw, so a 2x raise is not worth it. I check and will decide on the river.

I play the board (7s with A-K-Q) and can never win, but the dealer beats me only about 49% of the time and ties otherwise. Raising has EV of about -14.8 chips against -20 for folding.

4-5 offsuit is far outside the optimal 4x preflop range, so I check to limit risk and see the flop, where I can raise 2x if it connects.

4-5 offsuit on A-7-8 has no pair, only a gutshot to a 6 and a backdoor flush draw, which is too weak to risk a 2x raise. Checking keeps the option to raise 1x on the river if it improves.

I hold 7-7-A-8-5 (board pair of sevens, ace kicker). The dealer always qualifies on this board and beats me with almost any card, so my win chance is far below the roughly 20% needed to raise. Folding costs 20 against a worse expected loss from raising.

Ace-high hands are in the published optimal 4x range (any ace), so raising 4x maximizes expected chips; chat is off, so the message is empty.

J5 suited is outside the optimal 4x preflop range (J8s+ or JTo), so I check and decide later, raising on the flop or river only if the board helps.

Jack-high with only a backdoor heart draw on a Q-7-2 rainbow-ish flop is too weak to put 2x at risk, so I check and keep the river fold or 1x option.

I have queens and sevens with a jack kicker. I win about 42% of the time, tie about 9%, and lose about 49%. Raising 1x has an EV of about -6 chips against -20 for folding, so I raise.