Showdown Hold'em table

8-6 offsuit is well outside the optimal 4x raising range, so I check preflop and keep the option to raise on the flop or river.

Middle pair of sixes plus a gutshot to 7 and a backdoor heart flush draw on a connected flop; this is a standard flop raise against the house dealer.

K3 offsuit falls outside the published optimal 4x range (K5o+ or K2s+), so I check and see the flop for a cheaper decision.

Kings and eights (K-K-8-8 with a 3 kicker) is a strong made hand on the flop. Only a K or 8 for trips, pocket aces, or a few draws beat it, so the 2x raise has clear positive expectation.

A7 offsuit contains an ace, which is in the published optimal 4x raising range (any ace), so raise 4x preflop. Chat is off, so the table message is empty.

T4 offsuit is outside the optimal 4x raise range (needs K5o+, Q8o+, JTo, any ace, or 33+), so I check and see the flop, where I can raise 2x only if the board connects.

Ten-high with no pair and only a backdoor heart flush draw on a Q-6-3 flop is too weak to put 2x at risk, so I check and decide again on the river.

I have a pair of fours with Q-T-7 kickers. The dealer beats this about 49% of the time, so raising averages roughly -5 chips versus a certain -20 for folding.

A3o is an ace-high hand, and the published optimal 4x table includes any ace, so raising 4x preflop is the reference play.

8-5 offsuit is well outside the 4x raise range, so I check preflop and see the flop before deciding on a raise.

8s5d on a Th Kh Jd flop has no pair and no real draw (only a backdoor straight chance), so the 2x raise is negative EV. Checking keeps the option to raise 1x on the river or fold.

My pair of eights loses to any dealer K, J, T, 9, 8 or 7 (higher pair, two pair, trips or a straight) and to any pocket pair. That puts me behind roughly 70% of the time, so raising 1x is worse than losing the 20 already posted.

T2 suited is outside the published optimal 4x range (T-high suited needs a better kicker), so I check and see the flop for a cheap decision on a 2x raise.

2s Ts on Kh Jc Ad is only a gutshot to a Q-high straight with no pair. That is too weak to put 2x at risk on the flop, so I check and decide on the river with full information.

I have aces and tens with a king kicker. Of 990 dealer holdings, about 561 win, 68 tie and 361 lose, mostly any A, K or Q. Raising has an EV of roughly +0.4 chips against -20 for folding, so I raise.

T9 offsuit is outside the optimal 4x range (J8s+ or JTo, Q8o+), so I check and see the flop, where I can still raise 2x if it connects or check again.

Top pair of nines with a ten kicker on a 7-9-2 flop is well ahead of the dealer's typical holding, and the dealer needs a pair to qualify. Pairs are a standard 2x flop raise.

2s8s is outside the optimal 4x range (no ace, no big kicker), so I check and see the flop for a cheaper decision. Chat is off, so the table message is empty.

2s8s on Kd 4d 9h is eight-high with no pair and no real draw, so a 2x raise has negative expectation. Checking keeps the risk low and leaves the river fold-or-1x decision open.

I hold only ace-high (A K J 9 8) on a board that pairs the dealer with about 60% of hands, and Q or 10 hands beat me too. Raising is roughly -20.5 chips against -20 for folding, so folding is marginally better.

Pocket nines are inside the published optimal 4x range (33+), so raising 4x preflop maximizes expected value. Chat is off, so the table message is empty.

7-4 offsuit is far outside the optimal 4x raise range, so I check and see the flop for free, keeping the option to raise 2x there or fold at the river.

7-high with no pair and only weak backdoor straight chances on a T-5-2 flop is far too weak for a 2x raise. Checking keeps the river decision open.

My trip deuces with a T-7 kicker lose to any dealer pocket pair, T, 5, 2, or higher kicker (about 93% of dealer hands) and win only about 4%. Raising 1x has an EV around -27, so folding at -20 is better.

Any ace is in the published optimal 4x preflop range, so A6o is a 4x raise.

A-J offsuit is within the published optimal 4x range (any ace), so the max preflop raise maximizes expected value against the house dealer.

Q4 offsuit is outside the published 4x raising range (Q8o+ or Q6s+), so I check and keep the option to raise on the flop or river.

A pair of queens on an A-7-Q flop is a solid made hand that beats many dealer holdings. It is clearly above the flop raise threshold, so the 2x raise is +EV.

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

J3 offsuit is outside the optimal 4x raise range (J8s+ or JTo), so checking preflop keeps the risk low and lets me reconsider on the flop.

The board is paired with tens, so the dealer always qualifies. My J kicker is beaten by any dealer ace, king or queen, any 7, J, T or pocket pair, so I am likely behind. Doubling the bet with a 2x raise has negative expectation, so I check and see the river.

I hold tens and sevens with a jack kicker, and the dealer always qualifies on this board. Of 990 dealer holdings, about 313 win, 78 tie and 599 lose. Raising 1x is roughly -11.8 chips against -20 for folding, so I raise.

9c6c is a suited connector-ish hand outside the optimal 4x raise range (no ace, not a high-card combo), so I check preflop and keep the option to raise on the flop or river based on the board.

Middle pair of sixes with a backdoor flush draw (9c 6c 2c) is a standard flop raise in Casino Hold'em. It beats a large share of dealer holdings, and the raise is worth the extra 2x risk.

2-3 offsuit is one of the weakest starting hands and is far outside the optimal 4x raising range, so I check and keep only the ante and blind at risk, leaving the flop and river decisions open.

Pair of threes plus an open-ended straight draw (A or 6 completes it) is a solid hand against a dealer who needs a pair to qualify, so the 2x flop raise has positive expected value.

K8 suited is in the published optimal 4x range (K2s+), so raising 4x preflop maximizes expected value.

Q4 offsuit is outside the optimal 4x raise range (needs Q8o+ for queens), so checking preflop and seeing the flop is better than putting 3x-4x ante at risk.

Queen-high with only weak backdoor draws on a 9-5-7 flop is below the flop raise threshold. Checking keeps the option to raise 1x or fold on the river.

Queen-high on a 10-high board loses to any dealer pair, and the dealer qualifies about 60% of the time. Even when the dealer doesn't qualify, only about 10% of dealer holdings are weaker than mine, so the extra 10-chip raise has negative expected value compared with folding.

J9 offsuit is outside the published optimal 4x range (needs J8s+ or JTo), so I check preflop and see the flop before deciding on a 2x raise.

A pair of jacks (top pair) with a 9 kicker and straight potential is well ahead of the dealer's range on this flop. That makes the 2x raise profitable.

J7 offsuit is outside the 4x raise range (J8s+ or JTo), so I check preflop and keep the option to raise on the flop or river. Chat is off, so the table message is empty.

Jd7s on a 3s 5d As flop is only jack-high with no pair and weak draws, so a 2x raise would be negative EV. Checking keeps the option to raise 1x or fold on the river.

I hold ace-high (A Q J T 7) with no pair. The dealer makes a pair or better about 60% of the time, so the raise is a clear underdog. My estimated EV is about -19.6 chips for raising versus exactly -20 for folding, so raising is marginally better.

Q7 offsuit falls outside the published 4x range (Q8o+ or Q6s+), so I check and keep the option to raise on the flop or river.

A pair of sevens with a queen kicker on an 8-7-K flop is a marginal made hand. Standard flop strategy raises any pair, since the dealer needs a pair to qualify and often has less.

2h4s offsuit is a weak hand outside the optimal 4x raising range, so I check preflop and keep the option to raise on the flop or fold at the river.

2h 4s on 8s 3h Jh has no pair, only a backdoor flush and a weak wheel draw, so a 2x raise has negative expected value. I'll check and decide on the river.

I have only a pair of 3s from the paired board with J-8-5 kickers, and the dealer always qualifies. I estimate about a 19% win chance and 1% ties, so raising has an EV of roughly -20.3 chips, essentially the same as folding at -20. I fold as the marginally better option.

K-J offsuit falls under the published optimal 4x range (K5o+), so a 4x preflop raise is the best-EV play.

Ace-king offsuit is well 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.

Q3 offsuit is outside the optimal 4x raising range (Q8o+ needed), so I check and see the flop before deciding on a 2x raise.

Queens and eights (two pair) on the flop is far ahead of the dealer's likely holdings, so raising 2x for value is clearly +EV.

J5 offsuit is outside the published optimal 4x range (J8s+ or JTo), so I check and see the flop rather than commit 3x or 4x with a weak hand.

Top pair of jacks on a connected J-T-9 flop is well above the usual flop raise threshold, so raising 2x has positive expectation against the house dealer.

A2s falls under 'any ace' in the published optimal 4x preflop table, so raising 4x is the highest-EV play for this hand.

2-5 offsuit is a weak hand outside the optimal 4x raising range, so checking keeps the risk low and lets me see the flop, where I can still raise 2x or fold on the river.

Only ace-high with a four-out inside straight draw (any 4) on the flop, so a 2x raise is not justified. Checking keeps the river decision open.

The board pair of threes means the dealer always qualifies, and I hold threes with an A-K-6 kicker. The dealer beats me about 48% of the time and otherwise just ties and pushes, so I can never win outright. Raising loses about 14.5 chips on average, better than the 20-chip loss from folding.