Showdown Hold'em table

7-3 offsuit is far outside the optimal 4x range and too weak to raise 3x, so I check and see the flop for free, keeping the option to raise 2x if it improves.

7s3c on a 6c-Ts-Kd flop has no pair and no strong draw, so a 2x raise has negative expected value. Checking keeps the risk small and leaves the river fold option open.

King-high loses to almost any qualifying dealer hand, but folding costs 2 antes for sure. Raising has an estimated EV of about -1.8 antes, since the dealer fails to qualify about 40% of the time and we often win the play bet then, so it beats folding.

2-6 offsuit is far below the optimal 4x raising range, so I check preflop and keep the risk small to see the flop.

I hold a pair of twos (2c 2d) on the flop. Standard Casino Hold'em basic strategy raises 2x with any made pair, and the dealer is not far ahead often enough to make checking better, though this is marginal.

4-5 offsuit is far below the optimal 4x raising range (33+, any ace, K5o+ etc.), so I check preflop and keep the option to raise on the flop or river.

4-5 on a 7-Q-8 board is only a gutshot with no pair, so a 2x raise risks too much against a dealer who qualifies with any pair. Checking keeps the river decision open.

My 4-5 doesn't play. I only have the board's pair of eights with A-Q-7 kickers, and the dealer beats that with almost any card above a 6 or any pocket pair. I can basically only tie, so the extra 10 chips is negative EV and folding loses less.

K9 suited is inside the published optimal 4x range (K2s+ and K5o+ both qualify), so raising 4x preflop is the highest-EV play.

3s7s is outside the optimal 4x raise range (weak suited hand, no ace or high cards), so I check and see the flop for a cheaper decision.

7-high with only a backdoor spade flush draw on a Q-T-4 flop is too weak to put 2x more at risk, so I check and will decide on the river.

My best five cards are just the board (4-4-A-Q-T), so I can only tie or lose. The dealer always qualifies with the board pair and beats me about 53% of the time, so raising loses about 16 chips on average versus 20 for folding.

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

2h5d is offsuit trash, well outside the optimal 4x raising range, so I check preflop and keep the risk small to see the flop.

2h 5d on Ah 3s Ks is only ace-high with a gutshot wheel draw (needs a 4), which is too weak to put 2x more at risk against the dealer. Checking keeps the option to raise or fold on the river.

The board is A-K-Q-J-3 and my best five is ace-high with a 5 kicker, which loses to any dealer pair and to any dealer 10 (straight). Even an unpaired dealer hand almost always has a better kicker, so a 1x raise loses 30 versus 20 for folding.

77 is inside the published optimal 4x range (33+), so the maximum preflop raise maximizes expected chips.

6d2d is a weak offsuit-ish hand well outside the optimal 4x range, so I check and wait for the flop to decide on a 2x raise.

6d2d on a 7c Kc Kd board is only 7-high with a pair of kings on the board, and the dealer will often hold a king or a pair that beats me. Checking risks nothing more and keeps the option to raise 1x on the river or fold.

My best hand is just the board's three kings with 9-7 kickers, so I can only tie or lose. The dealer always qualifies and beats me about 88% of the time, so a raise risks 30 to save at most 20 and folding is better.

4-6 offsuit is well outside the optimal 4x raise range, so I check and see the flop for free, keeping the option to raise 2x if it improves.

4-6 offsuit on a Td-3s-8h flop is only a weak draw with no pair, so raising 2x would put too much at risk against a dealer who often ends up with a pair. Checking keeps the option to fold on the river.

I hold a pair of fours with K-T-8 kickers. By my rough count the dealer beats that in about 45% of the 990 possible holdings, so raising has an EV of roughly -5 chips against -20 for folding.

T7 offsuit is well outside the 4x raise range (no ace, no pair, weak kicker), so I check preflop and keep the option to raise on the flop or river with a better read.

T-high with a 7 on a J-Q-2 flop has no pair and only weak backdoor straight and flush draws. That is not enough to put 2x more at risk, so I check and keep the fold option on the river.

Folding costs 20 chips for certain. I hold a pair of sevens with an ace kicker, and the dealer often misses a qualifying pair or has a weaker hand. Raising 1x has a clearly better expected value than folding.

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

2s4d is offsuit and weak, well outside the optimal 4x raising range, so check preflop and see the flop before deciding whether to raise 2x.

Pair of fours plus an open wheel draw (any 5 makes a straight) on an A-4-3 board is a solid flop hand against the dealer, so the 2x raise is worth taking.

J4 offsuit is outside the published 4x raise range (J8s+ or JTo), and it is too weak for a 3x raise, so I check and see the flop for free.

Jack-high with no pair and only a weak backdoor flush and straight draw is too weak to put 2x more at risk on the flop, so I check and can still fold on the river.

I have only king-high (K J T 8 5) on a board that pairs the dealer with about 60% of holdings. When the dealer doesn't qualify, A or Q high still beats me about half the time. Raising has an estimated EV of about -2.0 units, no better than folding's -2, so I fold rather than risk more.

A4 suited contains an ace, which is in the published optimal 4x preflop range, so raising 4x maximizes expected value.

7s6s is outside the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check preflop and see the flop before deciding whether to raise 2x.

7s6s with Ts and Ks on board gives a four-flush draw of about 35% to hit, but a weak high-card hand otherwise. Checking keeps the option to raise 1x on the river if the flush hits and caps the loss at 20 chips if it misses. The EV difference against raising 2x is small.

I have a king-high spade flush (7s 6s with Ts Ks Js). Only a small share of dealer holdings beat it, so raising 1x is clearly positive EV.

K6 suited is inside the published optimal 4x range (K2s+), so raising 4x maximizes expected chips.

4-6 offsuit is far outside the optimal 4x raising range, so I check to limit chips at risk and reassess on the flop.

The board pair gives the dealer a pair every hand, so they always qualify. I hold a pair of fives with an ace and six in play, plus straight-draw outs. The dealer beats me only with an ace, a 4 or 6 pairing up, or a pocket pair, about 40% of the time. That leaves me a clear edge, so the 2x raise has positive EV.

7-4 offsuit is far outside the optimal 4x raising range, so I check preflop and see the flop without risking more chips.

7d 4s on a Qd Kh 9s flop is essentially air with no pair and no real draw, so a 2x raise has negative expectation. Checking keeps the option to fold on the river.

My 7-4 doesn't play; I only have the board's K-K-Q-J-9, so the dealer can tie but never lose. The dealer improves in about 71% of holdings (any A, K, Q, J, 10, 9 or a pair), so raising costs about -21.2 chips against -20 for folding.

A-J offsuit falls under 'any ace' in the published optimal 4x table, so the max preflop raise is the standard play against the house dealer.

KJo is in the published optimal 4x range (K5o+), so raising 4x preflop maximizes expected value against the house dealer.

2-6 offsuit is far below the optimal 4x raise range, so I check to limit risk and see the flop.

2h 6s on an 8d Ac Jc flop has no pair, no draw and little equity against a dealer who holds an ace in many hands, so a 2x raise would be -EV. Checking keeps the risk small and leaves the river fold option open.

I have two pair, sixes and twos with an ace kicker, on an unpaired board. Only sets, higher two pair, or a club flush beat it, so I win well over half the time and the 1x raise has clear positive EV.

2-9 offsuit is far below the optimal 4x raising range (which needs K5o+ or Q8o+, for example), so I check and wait for the flop rather than risk a large raise.

2d9c on a Jd 4c Kc flop is a hand with no pair, no draw and only nine-high, so it is far behind the dealer's range. Checking keeps the risk at the ante and blind and leaves the river fold option open.

I hold only king-high (K Q J 9 6) and the dealer qualifies about 64% of the time, almost always beating me. My estimated EV for raising 1x is about -2.08 antes, slightly worse than folding at -2, so I fold.

K9 suited is inside the published optimal 4x range (K2s+), so raising 4x maximizes expected value against the house dealer.

J7 offsuit is outside the optimal 4x raise range (J8s+ or JTo), so I check preflop and keep the risk low, then decide on the flop.

J7 offsuit on a 4-9-3 rainbow flop is just jack-high with no pair, no flush draw and only a gutshot-type straight chance. That is too weak to put 2x more at risk, so I check and see the river.

I have only king-high on the river, so I only win when the dealer misses a pair and has no ace or queen, roughly 19% of the time. Raising is about -20 chips against -20 for folding, and folding carries no extra risk.

J6 suited is outside the published optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise on the flop or river.

The board pair of 8s means the dealer always qualifies, and my J kicker loses to any dealer ace, king, queen, 7, or higher pocket pair. That puts my equity below 50%, so I check to keep the cheaper river decision.

Jacks and eights two pair (7 kicker) beats most dealer hands on this board, so the 1x raise is clearly +EV against a range that only loses to a few trips, straights, full houses or higher pairs.

Q2 suited is outside the published optimal 4x range (Q6s+ needed), so I check preflop and see the flop.

The board pair of jacks means the dealer always qualifies. My jacks with a Q kicker lose to any dealer ace, king, jack, 4, pocket pair, or queen with a kicker above 4. I win only about 40% of the time, so the extra 2x bet is negative EV and I check.

The board pair of jacks means the dealer always qualifies. I have jacks and twos with a king kicker, which beats roughly two thirds of dealer holdings. Only a king, a four or a higher pocket pair beats me, so the 1x raise is clearly +EV.

7-9 offsuit is outside the optimal 4x raise range (33+, any ace, K5o+, Q8o+, J8s+, JTo), so I check to see the flop and keep the risk low.

7-9 offsuit with no pair on a K-8-2 board is a weak holding (only bottom-ish pair draws with the 8 and gutshot-ish outs), so a 2x raise has negative expectation; checking keeps the risk low and lets me see the river.

I hold a pair of nines with a king kicker on a board with no flush possible, which beats most dealer hands. The raise is well above the break-even point compared with folding and losing 20 chips.

Pocket fours fall within the published optimal 4x range (33+), so raising 4x maximizes expected chips. Chat is off, so the table message is empty.

4s6s is outside the published optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check preflop and keep the option to raise on the flop with a better read.

Nines and sixes two pair on the flop is well ahead of most dealer hands, so the 2x raise has clear positive expectation.