Showdown Hold'em table

K2 offsuit is outside the published optimal 4x range (K2s+ or K5o+), so I check and re-evaluate on the flop.

I hold a pair of twos with a king kicker plus a backdoor spade draw. Basic Casino Hold'em flop strategy raises any pair, so I take the 2x raise.

K6 offsuit falls inside the published optimal 4x range (K5o+), so a 4x raise is the highest-EV preflop play.

K2 offsuit falls outside the optimal 4x range (K5o+ or K2s+), so I check and can decide again on the flop.

Bottom pair of deuces with a king kicker on the flop is a standard raise: a pair or better is a raise in flop strategy, and this hand should beat the dealer's typical holding often enough to justify the 2x play bet.

A8o contains an ace, which is in the published optimal 4x preflop range (any ace), so raising 4x maximizes expected value.

A2s is an ace-high suited hand, which is in the published optimal 4x raising range (any ace), so raise 4x preflop.

Ace-ten offsuit falls under 'any ace' in the published optimal 4x preflop table, so the 4x raise is the highest-EV play.

3-T offsuit is well outside the optimal 4x range (T-high needs to be JTo or better with a Q or K kicker in that table), so I check to keep risk small and see the flop.

I hold only the board pair of sixes with a ten kicker, so the dealer always qualifies and many of their hands beat mine. Raising 2x has negative expectation here, so I check and decide on the river.

The board pairs sixes, so the dealer always qualifies, and my pair of sixes with a ten kicker loses to nearly every dealer holding: any A-J, 9, 7, 4 or 10, any pocket pair, or a 5-8 straight. I win only about 7% of the time, so raising 10 more chips has clearly worse EV than folding.

4-7 offsuit is far below the 4x raising range, so I check preflop and keep the risk small to see the flop.

I have a pair of fours with a 7 kicker on a K-4-6 flop. Basic strategy raises 2x on the flop with any pair, so I raise even though the pair is weak.

98 offsuit is outside the published optimal 4x range (33+, any ace, K5o+, Q8o+, J8s+, JTo), so I check preflop and see the flop before deciding on a 2x raise.

9-high with only backdoor flush and straight draws on an ace-high flop is too weak to put 2x more at risk, so I check and can still fold on the river.

9d 8h makes a 9-high straight (5-6-7-8-9) on the board. No flush or full house is possible for the dealer, and the best they can do is tie with 8-9, so raising 1x is clearly right.

6-9 offsuit is outside the optimal 4x raising range (33+, any ace, K5o+, Q8o+, J8s+ and so on), so I check preflop and keep the option to raise on the flop or river.

6-9 on a Q-8-A flop has no pair and only weak straight draws, so raising 2x isn't +EV. Checking keeps the river fold-or-1x option open.

I have only ace-high, but folding costs a sure 20 chips. Raising is about -14 EV: the dealer misses a pair about 38% of the time (play bet wins, ante pushes) and beats me roughly 60% of the time, which is better than folding.

7-4 offsuit is well outside the optimal 4x raise range, so I check preflop and keep the risk small to see the flop.

Pocket-board pair of sevens on the flop is a made pair with a decent chance to beat the dealer, so raising 2x is standard and should have positive EV over checking.

T7 suited is outside the published optimal 4x preflop raising range (no T-high hands qualify), so I check and will decide on the flop.

The board pair means the dealer always qualifies, and my pair of 5s with a ten kicker loses to any dealer ace through jack, any pocket pair, or any 5 or 6. That is roughly a 65% chance of losing, so I won't put in a 2x raise and will decide again on the river.

I play the board (two pair, sixes and fives, with the board queen as kicker), so I can only tie or lose. The dealer beats me about 46% of the time (any ace, queen, five or six, or a pair of sevens or higher) and ties otherwise. Raising costs about -14 chips in expectation versus -20 for folding.

8s3s is outside the optimal 4x range (no ace, and not a K5o+, Q8o+ or J8s+ hand), so I check preflop and keep the option to raise on the flop or fold on the river. Chat is off, so the table message is empty.

Eight-high with no pair and no heart on a three-heart flop is weak, and the dealer only needs a pair to qualify. Checking keeps the risk small and leaves the river decision open.

Jack-high with no pair or draw on this river. The dealer makes a pair or better about 60% of the time and beats me in most of the remaining cases too, so the extra 10-chip raise is negative EV and folding is better.

T8 offsuit is outside the published optimal 4x range (J8s+, JTo, Q8o+), so I check and keep the option to raise 2x on the flop.

Pair of tens (second pair) with 8-9-T connectivity is comfortably ahead of the dealer's range often enough; a pair or better is a standard flop raise.

8-9 offsuit is outside the published optimal 4x range (33+, any ace, K5o+, Q8o+, JTo, etc.), so I check preflop and keep the option to raise on the flop or river.

8-9 offsuit on a K-A-Q board has no pair, and only a gutshot-plus draw (needs a J or 10 for a straight: J gives A-K-Q-J-9? no; 10-J needed). It is a weak holding, and 2x more chips are not justified, so I check and see the river.

I hold ace-high with no pair or straight. Of 990 dealer holdings, about 701 qualify and beat me, 69 tie, and 220 don't qualify and lose to me. Raising has EV of about -18.9 chips against -20 for folding, so it is slightly better.

3c7s is weak and outside the optimal 4x raising range, so I check preflop to keep the risk low and see the flop before deciding.

3c7s on a Ks 4h 8d flop is only 7-high with no pair and just a weak gutshot-type draw, so it is a weak holding against a dealer who needs a pair to qualify. Checking keeps risk low and preserves the option to fold on the river.

I hold only king-high, but the dealer fails to qualify about 40% of the time and I beat most of those non-qualifying hands unless the dealer holds an ace. My estimated EV for raising is about -17 chips, versus a sure -20 for folding.

6-8 offsuit is well outside the optimal 4x range, so I check preflop and keep the risk low to see the flop.

Eight-high with no pair on a 9-2-3 flop, and no strong draw, so raising 2x is not profitable. Checking keeps the option to fold on the river.

The board pairs queens, so the dealer always qualifies. My QQ with a 9-8-6 kicker loses to any queen, any pocket pair, any 9/2/3 pairing the board, and almost any high-card kicker. That is roughly 87% of dealer hands, so the 10-chip raise has strongly negative EV and I fold.

Q9 offsuit is inside the published optimal 4x range (Q8o+), so raising 4x preflop maximizes expected value against the house dealer.

Any ace is in the published optimal 4x preflop range for Casino Hold'em, so A7 offsuit is a 4x raise.

A2 offsuit is an ace-high hand, and the published optimal 4x table includes any ace, so a 4x preflop raise is the right play.

Ace-eight offsuit falls under the published optimal 4x range (any ace), so the maximum preflop raise is the highest-EV play against the house.

Ace-high hand (A8o) is inside the published optimal 4x preflop range (any ace), so the maximum raise maximizes expected value against the house.

J5 suited is outside the published optimal 4x range (needs J8s+ or JTo), so I check preflop and keep the option to raise 2x on the flop or 1x on the river.

Jack-high with only a gutshot straight draw (needs a 7) is too weak to put 2x in on the flop. Checking keeps the cheap river option to raise 1x if I improve, or fold otherwise.

Jacks and fours (two pair) is strong on this board and beats most dealer holdings. Only a few holdings beat it, such as a 7 for a straight, a jack, or a pocket pair that makes a full house. The 1x raise has clearly positive EV compared with folding, which loses 20 chips.

J9 suited is inside the published optimal 4x range (J8s+), so the maximum preflop raise is correct.

Q7 offsuit is outside the published optimal 4x range (Q8o+ or Q6s+), so I check preflop and see the flop.

Top pair of queens on the flop is a clear 2x raise. The dealer needs a pair to qualify, and my hand beats most of what it will hold.

8-3 offsuit is far below the 4x raising range, so I check preflop and keep the risk low, then decide on the flop or river.

8-high with no pair and only a two-card-needed straight draw is well below the flop raise threshold, so I check and keep the option to raise 1x or fold on the river.

I have a pair of eights, and I estimate about a 30% win chance. Raising has a break-even point near 20%, since a fold loses 20 and a raise loses 30 when beaten but wins 20 when ahead. That makes the raise better than folding.

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

Any ace is in the published optimal 4x preflop range, and AJs is a clear raise against the house dealer.

Q9 offsuit falls in the published optimal 4x range (Q8o+), so raising 4x maximizes expected value; this is the last hand, so there is no session-level reason to play differently.

T8 offsuit is outside the published optimal 4x range (Q8o+ and JTo are the cutoffs for those ranks), so a preflop raise is negative EV. Checking keeps the option to raise 2x on the flop if the board helps.

Ten-eight on Q-9-6 is an open-ended straight draw with no made pair. Checking keeps the option to raise 1x on the river if I hit and to fold cheaply if I miss. A 2x raise now puts too much extra at risk on the roughly 65-70% of runouts that miss.

Pair of tens with a queen on board is a solid made hand against a dealer who needs a pair to qualify, so the 1x river raise is clearly positive EV versus folding.