Showdown Hold'em table

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

I hold a pair of twos with a king kicker and a three-club flush draw, and the standard flop strategy raises any pair or better. Even bottom pair beats every dealer hand that hasn't paired, so the 2x raise is worthwhile.

A6 offsuit falls under the published optimal 4x range (any ace), so raising 4x preflop maximizes expected value.

4-9 offsuit is far below the 4x raise threshold (no pair, no ace, weak kickers), so I check and see the flop, keeping risk low and my options open.

With 9-high on a Td 3c 5s flop, I have no pair and only a weak backdoor straight draw, so a 2x raise is not worth the risk. I'll check and see the river.

I hold only a pair of threes (from the board) with a T kicker. The dealer always qualifies because of the board pair, and beats me with any A/K/Q/J, any card matching my hole cards or the board, or a pocket pair. My win chance is about 5%, so raising has an EV near -2.75 antes versus -2 for folding.

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

J8 on A-T-9 is an open-ended straight draw with no made pair. Raising 2x now risks 40 chips on a hand that misses about 69% of the time. Checking keeps the option to raise 1x on the river if a Q or 7 arrives, and a fold there costs only 20.

Jd8s with 7-9-T on the board makes a jack-high straight (7-8-9-T-J). It only loses to a dealer flush or a higher straight, so raising 1x is clearly positive EV.

T2s is outside the published optimal 4x range (T-high suited needs J8s+ or better), so a preflop raise is not justified. Checking keeps risk low and lets me see the flop, where a raise_2x remains an option.

Ten-high with no pair and only a weak backdoor straight draw on Jd 6d 7c is too weak to put 2x more at risk, so I check and can still fold on the river.

Jacks with a T kicker on a paired-jack board loses to about 85% of dealer hands (any A/K/Q, pocket pair, two pair, 5-8 or 3-5 straight, T-9/T-8) and wins only about 11%. Folding at -20 beats raising, which would risk -30.

Pocket fives fall within the published optimal 4x range (33+), so a maximum preflop raise has the best expected value. Chat is off, so the table message is empty.

K9 offsuit is inside the published optimal 4x range (K5o+), so raising 4x maximizes expected value. Chat is off, so the table message is empty.

T4 offsuit is outside the published optimal 4x range (weak, no ace, not K5o+ or Q8o+ or JTo), so checking preflop and keeping the option to raise on the flop or fold on the river is best. Chat is off, so the message is empty.

A pair of tens is a made hand on the flop, and the optimal Casino Hold'em flop strategy raises with any pair. The ace on board is a risk, but the raise is still positive EV.

J7 suited is outside the optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise on the flop or river.

Jc 7c is only jack-high on an Ah 6d 3h flop, with no pair and only a backdoor club flush draw. That is too weak to put 2x more at risk, so I check and decide on the river.

I hold jacks and sixes with an ace kicker. The dealer beats this only with an ace, a six, QQ or KK, JdJs, or a heart flush, roughly 26% of holdings, so I win about two-thirds of the time. Raising is clearly better than folding.

98 offsuit is outside the published optimal 4x raising range, so I check preflop and keep the option to raise on the flop or river. Chat is off, so the table message is empty.

9-8 offsuit with no pair, no flush draw and only a gutshot-ish backdoor on an A-T-3 board is weak against a dealer holding an ace or ten, so I check for free and will decide on the river.

I have only ace-high (A K T 9 8) on the river. The dealer qualifies about 60% of the time and any pair beats me. By my estimate, raising has an EV of about -20.0 chips, about the same as folding at -20, so I fold to avoid the extra variance.

2c3d is one of the weakest starting hands and is well outside the optimal 4x range, so I check preflop and keep the option to raise on the flop or fold on the river.

Bottom pair of deuces plus a wheel draw (2-3-5) is marginally +EV to raise 2x on the flop; it is at least a pair, which is the usual threshold for a flop raise in Casino Hold'em.

T8 offsuit is not in the published optimal 4x range (needs JTo, Q8o+, etc.), so I check preflop and can decide on the flop with more information.

T8 on Q-A-J has no pair, only a double-gutshot (9 or K) with about 31% to hit and a weak backdoor flush. The high board makes dealer pairs common, so a 2x raise is not worth it. I'll check and decide at the river.

My Ts makes an ace-high Broadway straight (A-K-Q-J-T), which only a dealer flush or straight flush beats (about 4% of dealer hands), so raising 1x is clearly profitable.

A2 offsuit contains an ace, which is in the published optimal 4x preflop range (any ace), so raising 4x is the expected-value maximizing play. Chat is off, so the table message is empty.

T9 offsuit is outside the published optimal 4x range (JTo is the cutoff for J-high, and T-high hands are not included), so checking preflop and deciding on the flop or river is best. Chat is off, so the message is empty.

Ten-high with no pair on a king-high flop, and only a weak backdoor draw. The dealer often pairs the king or another board card, so a 2x raise is negative EV. I'll check and reassess on the river.

Pair of tens with king and nine kickers is well ahead of most dealer holdings, and the dealer often fails to qualify. Raising is clearly better than folding, which loses 20 chips for certain.

Q6 offsuit is outside the published 4x raising range (Q6s+ or Q8o+), so I check and will reassess on the flop.

Q6 on a 9-5-K flop has no pair and no strong draw, so a 2x raise has negative expected value. Checking keeps the option to raise 1x or fold on the river.

I have only king-high, so I lose 3 units whenever the dealer qualifies (about 58% of the time). Raising still has an EV of roughly -1.8 versus -2 for folding, because king-high often beats the dealer's non-qualifying hands.

Ace-Jack offsuit falls under 'any ace' in the published optimal 4x preflop table, so raising 4x maximizes expected value. Chat is off, so the table message is empty.

J8 offsuit is outside the published optimal 4x range (J8s+ or JTo), so I check and see the flop for a cheaper decision.

Jh8s has only jack-high on a Qc4c5c board and holds no club, so it has no real pair or draw. Raising 2x would put a lot at risk with weak equity, so I check and decide on the river.

The board has four clubs and I hold none, so I only have ace-high. Any dealer club (about 36%) gives a flush, and any pair beats me. My win chance is only about 13%, and my 1:1 win pays just 10, so raising's EV is worse than folding's -20.

K4 suited is inside the published optimal 4x range (K2s+), so raising 4x preflop is the highest-EV play.

J6 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.

A pair of sixes with an open-ended straight draw (needs a 3 or 7) on a 4-5-6 flop is a clear raise. Pairs and better on the flop are standard raises, and the straight and backdoor flush chances add value.

K-Q offsuit is inside the published optimal 4x range (Q8o+ with a king), so raising 4x preflop maximizes expected value. Chat is off, so the message is empty.

6-2 offsuit is the weakest hand in the game and is far outside the 4x raise range, so I check and see the flop without adding chips to the pot.

6-2 offsuit has no pair, no draw and no real equity on a 3-K-J flop, so a 2x raise would be negative EV. Checking keeps the option to fold on the river.

I hold only ace-high with a 6 kicker on A-K-Q-J-3. The dealer qualifies roughly 71% of the time and usually beats me, so the extra 10-chip raise has lower EV than folding (about -23 vs -20).

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

Q-T offsuit is inside the published optimal 4x range (Q8o+), so a preflop 4x raise is the highest-EV play.

Pocket sixes fall within the published optimal 4x range (33+), so a 4x preflop raise maximizes expected value against the house dealer. Chat is off, so the table message is empty.

4-3 offsuit is far outside the optimal 4x range, so I check and keep only the ante and blind at risk, then decide again on the flop.

4s3c on a Qd Ks 5d flop has only a 5 pair-ish draw at best, with no pair and weak equity against the dealer, so raising 2x is negative EV. Checking keeps the risk small and leaves the river fold option open.

I have two pair, fives and fours with a king kicker. That beats about 56% of dealer holdings and loses to about 37%, with the rest tying and pushing. Raising has clearly better EV than folding away the ante and blind.

K2 offsuit is outside the published optimal 4x range (K5o+ or K2s+), so I check and see the flop rather than put 4x at risk.

I hold only ace-high with a king kicker and a gutshot (a Q completes the straight) on a board that also helps the dealer. Raising 2x on the flop risks too much for the equity, so I check and see the river.

I hold ace-high with a king kicker and lose to any dealer pair or straight. That is roughly 63% of holdings, so raising has an EV of about -15 chips against -20 for folding, which makes the raise better.

2s9s is outside the published 4x raise range (needs Q6s+ or K2s+ suited-wise, and 9-high is far below it), so I check preflop and keep the risk small to see the flop.

A pair of nines on a T-9-7 flop is a made pair that beats most dealer holdings and also has some straight-draw potential. The standard flop strategy raises 2x with any pair, so I raise.

6-8 offsuit is far outside the optimal 4x raise range (33+, any ace, K5o+, etc.), so raising preflop has negative expectation. Checking keeps the risk low and lets me decide on the flop or river.

Middle pair of sixes with an eight kicker on a 9-6-2 flop is a standard 2x raise against a dealer who needs a pair to qualify.

5-4 offsuit is well outside the optimal 4x raising range, so I check preflop to see the flop and keep the risk small; chat is off, so the message is empty.

5-4 offsuit on a Ts-7-7 board has only a weak draw and no pair beyond the board, so a 2x raise on the flop is negative EV. I check and can still fold at the river if nothing improves.

The board's 777KT is my best hand, so I can at best tie and never win. About 513 of 990 dealer holdings tie and push, and 477 beat me, so p(lose) is about 0.48. Raising costs about -14.5 in expectation versus -20 for folding.

Pocket fours fall within the published optimal 4x range (33+), so raising 4x maximizes expected value against the house dealer.