Showdown Hold'em table

J4 suited is outside the optimal 4x range (J8s+ or JTo required), so I check preflop and keep the flop and river options open.

Jack-high with only a backdoor flush draw and a weak straight draw is too weak to put 2x at risk on the flop. Checking keeps the river option to raise 1x or fold.

I have only king-high with no pair or straight on the river. The dealer pairs the board or a hole card in roughly 60-65% of deals, which beats me, so raising is worse than folding.

9-3 offsuit is outside the optimal 4x raising range (33+, any ace, K5o+, Q8o+, J8s+ and so on), so checking preflop keeps the risk low and lets me reconsider on the flop.

9-high with no pair and only a weak backdoor straight draw on 2h 7h 4s; a 2x raise on the flop would put too much at risk, so check and decide on the river.

I have only ten-high with no pair on a board with pairing and straight chances. The dealer qualifies often and would beat me, so the raise has negative expectation and folding loses less.

K5 suited is inside the published optimal 4x range (K2s+), so raising 4x preflop is the standard maximum-EV play.

Js Ts is suited with J8s+ in the published optimal 4x range, so raising 4x preflop is correct. Chat is off, so the table message is empty.

K4 offsuit falls inside the published optimal 4x range (K5o+ is the stated cutoff, so K4o is marginal). Kh with a 4 is borderline, so I am relying on the high-card strength of the king; if it fell outside the range, a check to see the flop would be the alternative, but the 4x raise is a reasonable choice here.

5-3 offsuit is far outside the optimal 4x range, so I check and see the flop for free. I can then raise 2x if the flop connects or fall back to the river decision.

Pocket-pair-level strength: I have a pair of fives on a 5-Q-A flop, which beats most dealer holdings, and basic Casino Hold'em strategy raises 2x with any pair on the flop.

9-7 offsuit is well outside the optimal 4x raising range, so I check and keep the option to raise 2x on the flop or 1x on the river.

Middle pair of sevens on an A-7-3 flop beats most dealer holdings, so a 2x raise is +EV; the dealer only beats me with an ace, a pocket pair 8 or higher, a seven, or a strong runout.

J3 suited is outside the optimal 4x range (J8s+ or JTo), so I check and see the flop. Chat is off, so the message is empty.

I have a pair of threes with a jack kicker on the flop. The standard basic strategy raises 2x with any pair, and a pair also beats any dealer holding that fails to qualify, so I raise.

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

6c Jh offsuit is outside the published 4x range (J8s+ or JTo), and it is too weak for a 3x raise. Checking keeps the risk low and lets me decide again on the flop.

I have a pair of sixes with a jack kicker on a 6-8-2 flop. That is middle pair, which is usually strong enough against a random dealer hand to justify the 2x raise.

T9 offsuit is not in the optimal 4x raise range (needs Q8o+, J8s+ or JTo, or better), so I check and see the flop for a cheap decision.

The board pair of 7s means the dealer always qualifies. My 77 with Q-T-9 kickers loses to any dealer ace, king, queen, 7 or pocket pair, so a 2x raise on the flop is negative EV. I'll check and reassess on the river.

I have sevens full of nines, which loses only to a dealer holding the last 7, a queen, a pocket pair above nines, or 99, roughly 20% of holdings. Raising is clearly better than folding.

J6 suited is outside the published 4x preflop range (J8s+ or JTo), so I check and will decide on the flop with more information.

Jack-high on a Q-Q-4 board only has a weak heart draw, and the paired board means the dealer always qualifies. A 2x raise would be negative EV, so I check and keep the river fold option.

I hold queens full of... no, trip queens with K-J kicker, which beats about 420 of 990 dealer hands and ties 93. Raising 1x has an EV of about -2 chips, versus -20 for folding, so raising is far better.

5-4 offsuit is far outside the optimal 4x range, so I check preflop and keep the option to raise on the flop if the board helps.

A pair of fives plus a 3-4-5 straight draw on the flop is a standard raise in Casino Hold'em, since any pair is worth raising the flop.

Pocket aces are the strongest starting hand and fall well inside the optimal 4x raise range, so the maximum preflop raise has the highest expected value. Chat is off, so the table message is empty.

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

Q5 offsuit is below the published 4x threshold (Q8o+ needed), and 3x isn't clearly profitable for it either, so check and see the flop at no extra cost.

Queen-high with only a backdoor flush draw on K-9-2 is too weak to put 2x at risk on the flop. Checking keeps the option to raise 1x or fold on the river.

I hold only king-high, and the dealer qualifies with a pair or better about 60% of the time, which beats me. A rough estimate puts a raise at about -21 chips against -20 for folding, so folding is marginally better.

A7 offsuit is covered by the 'any ace' rule in the published optimal 4x table, so a 4x preflop raise is the recommended play. Chat is off, so the table message is empty.

8-2 offsuit is far outside the optimal 4x range (no ace, and the 8 is too low for K5o+ or Q8o+). Checking preflop keeps the risk at the ante and blind while leaving the flop raise_2x option open.

Top pair of eights on a 5-6-8 flop is well ahead of a random dealer hand, so the 2x flop raise has positive expectation.

3-8 offsuit is far outside the optimal 4x range, so I check to see the flop and keep the risk small.

Only 8-high with a gutshot (needs a 4), no pair. That is too weak to raise 2x on the flop, so I check and decide again on the river.

The board pair gives the dealer a guaranteed qualifier, so my pair of 2s with Q-8-6 kickers wins only about 4-5% of the time, well under the roughly 20% needed to justify raising. Folding loses 20, versus a much worse expected loss from raising.

5-7 offsuit is outside the optimal 4x range, so I check and see the flop. The raise_2x and raise_1x options can still be used later.

7-high with no pair and only a weak backdoor straight draw on 8-2-J; a 2x raise here has negative EV, so I check and keep the option to fold on the river.

I hold a pair of sevens with a jack on the board, which beats many dealer hands and often leaves the dealer without a qualifying hand. The 1x raise is clearly better than folding and losing the ante and blind.

Pocket deuces are below the published optimal 4x range, which starts at 33+. Checking keeps the raise decision open for the flop, where a set or a good board can still justify raise_2x, and keeps risk low. Chat is off, so the message is empty.

Pocket deuces are a made pair on the flop and should beat most dealer holdings that miss the A, T and 5. Dealer non-qualifying hands also favor a play bet. The edge is marginal, but a 2x raise looks slightly positive in EV.

J6 suited is outside the published 4x raising range (J8s+ or JTo), so I check preflop and wait to see the flop.

The board pair of deuces means the dealer always qualifies, and my hand is just deuces with a Jack kicker. The dealer beats me with any Q, K or A, any pocket pair, or a 5, so I'm likely behind and a 2x raise has negative EV. Check and see the river.

Two pair, jacks and twos, is well above the river fold threshold. It beats most dealer holdings, so raising 1x has clearly positive expectation against folding.

K3 offsuit falls outside the published optimal 4x range (K5o+ needed), so I check preflop and keep the option to raise on the flop.

Top pair of kings plus a four-diamond flush draw (3d with Qd 6d Kd) is well ahead of the dealer's range, so the 2x flop raise has clear positive expected value.

T9 offsuit is outside the published optimal 4x preflop range (no T-high hands are listed), so I check and see the flop before deciding on a 2x raise.

Tc9s on a 2-Q-7 rainbow flop has no pair and only weak draws, so it is not strong enough for a 2x raise. Checking keeps the 1x river decision available.

A pair of tens with a queen and nine kicker is a solid made hand on this board, and the dealer often fails to qualify or loses. Folding costs a certain 20 chips, so the 1x raise is clearly better in expectation.

KJ suited is in the published optimal 4x range (K2s+ and K5o+ both cover it), so raising 4x maximizes expected value. Chat is off, so the table message is empty.

T9 suited is outside the published 4x preflop range, so I check to see the flop and keep the option to raise 2x, with flush and straight blind payouts as upside.

Ten-high with a backdoor flush and straight draw is too weak to put 2x on the flop. Checking keeps the river option open at no extra cost.

The board is 7-7-3-3-2 and my best hand is sevens and threes with a ten kicker, so the dealer always qualifies. The dealer beats me with any 7 or 3, any pair above threes, or any ace, king, queen or jack kicker. I count about 723 of 990 dealer holdings beating me, so I lose roughly 73% of the time. A raise has negative expected value, so I fold.

JTs suited is in the published optimal 4x range (J8s+), so the maximum preflop raise has the best expected value.

J8 offsuit is outside the published optimal 4x range (only J8s+ or JTo qualify), so I check and keep the flop raise option open.

A pair of eights with a jack kicker on a K-8-7 flop is a made pair, and the standard flop strategy is to raise 2x with any pair or better.

Q2 offsuit is well outside the published optimal 4x range (Q8o+ needed), so checking and seeing the flop is better than raising.

Queen-high with no pair and no real draw on a 4-8-6 flop is below the threshold for a 2x raise, so I check and decide on the river.

The board pair of 8s means the dealer always qualifies. I estimate about 35% to win or tie, so raising has an EV of roughly -12.5 chips, better than the -20 from folding.

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