Showdown Hold'em table

88 is inside the published optimal 4x range (33+), so the maximum preflop raise has the highest expected value. Chat is off, so the table message is empty.

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

I have a pair of fours with a queen kicker on the K-4-2 flop. That is a made pair, which is generally a marginal-to-positive 2x raise against a dealer who needs a pair to qualify.

8-3 offsuit is far outside the optimal 4x range (Q8o+, K5o+, any ace, pairs 33+), so I check and see the flop to keep the risk low.

Bottom pair of threes under an ace and king on the board loses to any dealer ace or king and to higher pocket pairs, so it is too weak to put 2x more at risk now. Checking keeps the option to raise 1x or fold on the river.

I have a pair of threes with A-K-T kickers. Even if I lose about 60% of the time, folding costs a certain 20 chips. Raising has a clearly better expected value, so I raise.

9-7 offsuit is well outside the optimal 4x range (no ace, no pair, weak king/queen/jack), so I check preflop and see the flop for a possible 2x raise.

I have a pair of sevens plus an open-ended straight draw (7-8-9-T, needing a 6 or J) on the flop. That is well above the usual flop raise threshold, so I raise 2x.

JTo is in the published optimal 4x preflop range (J8s+ or JTo), so raise 4x.

K9 offsuit falls within the published optimal 4x range (K5o+), so a 4x preflop raise is the highest-EV play. Chat is off, so the table message is empty.

4h6h is a weak suited hand outside the optimal 4x range (33+, any ace, K2s+, etc.), so I check preflop and keep the option to raise 2x on the flop or 1x on the river.

4h6h has no pair on a Ts 5d 9c flop, only a weak straight draw needing two specific cards, so a 2x raise has negative expected value; checking keeps the river option open.

The dealer always qualifies because the board has a pair of tens, and my T-T with Q-9-6 kickers beats only about 4% of dealer hands. Raising needs roughly a 20% win rate to beat folding, so I fold.

A6 offsuit contains an ace, which is in the published optimal 4x preflop raise range (any ace), so raising 4x maximizes expected value.

A4 offsuit falls under the published optimal 4x range (any ace), so the maximum preflop raise is the highest-EV play. Chat is off, so the table message is empty.

2-3 offsuit is the weakest starting hand and is far outside the optimal 4x range, so I check preflop and see the flop at no extra cost. Chat is off, so the table message is empty.

I have only an open-ended straight draw with 2-3 on a 4-5-7 flop, with no made pair. A raise puts 20 more at risk with about a 31% chance of hitting. Checking keeps the option to raise 1x on the river if I hit or fold if I miss, which looks slightly better by rough EV.

My best hand is just the board's pair of sevens, and the dealer always qualifies because that pair is on the board. Any dealer card of 6 or higher, any pocket pair or any two diamonds beats me, so a 1x raise has strongly negative EV and folding is right.

T5 offsuit is outside the optimal 4x raising range (T-high, no ace, weak kicker), so check preflop and see the flop before deciding on a 2x raise.

Ten-high with no pair and only backdoor draws is below the flop raise threshold, so I check and keep the option to raise 1x or fold on the river.

I hold trip nines with a T-7 kicker, but the dealer always qualifies and beats me with any quad, full house, or A/K/Q/J kicker. I estimate about a 19% win chance, just under the roughly 20% break-even for the 1x raise, so folding is marginally better.

6s4s is outside the optimal 4x range, which is 33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+ and JTo, so I check and see the flop. Chat is off, so the table message is empty.

Pair of sixes with a backdoor straight draw (wheel needs 3 and 5) and a backdoor flush draw is a standard flop raise. The pair beats most dealer holdings, and the dealer needs a pair or better to qualify.

8c2c is outside the optimal 4x range (the 8-high offsuit/suited hand is too weak), so I check and see the flop for a cheaper decision instead of risking a large raise.

I have only 8-high with backdoor straight and flush draws on an ace-high board, so a 2x raise on the flop is not profitable. Checking keeps the option of a 1x raise or a fold on the river.

I have two pair, sixes and twos with an ace kicker. By my count the dealer always qualifies on the paired board and beats me in about 376 of 990 holdings, ties in about 70, and loses in about 544. That makes raising about -0.4 chips in EV, far better than folding at -20.

A6 suited is an ace-high hand, and the published optimal preflop strategy raises 4x with any ace, so I follow it.

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

The board pair of 5s means the dealer always qualifies, and my Q-high kicker only plays a pair of 5s. That is roughly a coin flip against many dealer hands, so I check to keep the cheaper 1x river option.

I have sevens and fives with a queen kicker, which beats most dealer hands. Only an 8, a higher pocket pair, or a set or full house beats it, so raising 1x is clearly better than folding.

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

Top pair of jacks (with a 6 kicker) on a dry 2-J-5 flop is well ahead of the dealer's range, and the standard flop strategy raises 2x with any pair or better.

T9 offsuit is outside the published optimal 4x range (J8s+, JTo, Q8o+ etc.), so I check preflop and keep the option to raise 2x on the flop or 1x on the river.

I have T-high with only a weak two-card straight draw on the 4-5-8 flop. That is not strong enough for a 2x raise, so I check and decide on the river.

The board pair of 4s means the dealer always qualifies. Folding costs 20 chips. Raising 1x beats folding whenever the chance of losing is below roughly 80%, and my pair of 4s with a ten kicker wins well over 20% of the time.

Ace-ten offsuit is within the published optimal 4x range (any ace), so raising 4x preflop maximizes expected value against the house dealer.

A2 offsuit is in the published optimal 4x range (any ace), so raising 4x preflop maximizes expected value. Chat is off, so the message is empty.

Ace-2 offsuit falls under the published optimal 4x preflop range (any ace), so raising 4x maximizes expected value. Chat is off, so the table message is empty.

K2 offsuit is outside the published 4x range (K2s+ or K5o+), so I check preflop and see the flop before deciding.

Bottom pair of deuces plus an open-ended straight draw (A or 6 completes it) gives enough equity to make the 2x flop raise worthwhile.

9c4c is outside the optimal 4x raise range, so I check preflop and see the flop at no extra cost. Chat is off, so the table message is empty.

Nine-high with no pair and no flush or straight draw on a 5s-6s-Js flop is too weak to put 2x at risk, so I check and decide on the river.

I have a pair of nines with a jack kicker on a four-spade board, so I lose to any dealer spade, a 7, or a higher pair. Folding costs 20, and the raise (win +20, lose -30) beats that once my win chance passes about 20%. My estimate is 25-30%, mostly from the dealer missing the qualifier or holding a weaker hand.

9c3c is not in the optimal 4x range (no ace, and 9-high offsuit-ish junk with a 3 kicker), so I check preflop and see the flop at no extra cost.

I have a pair of threes with a 9 kicker, which is a marginal made hand on the flop. The standard strategy raises any pair here, and the dealer needs a pair to qualify, so I raise 2x.

Q5s is outside the published 4x range (Q6s+ or Q8o+), so it is not a 4x raise. I'm checking to see the flop and decide there, since the 3x raise is also unsupported for this hand.

A queen-high four-flush with a weak board pair potential has about 35% to complete by the river, but a 2x raise puts 20 chips at risk with roughly even equity. Checking keeps the cheaper 1x river option and lets me fold if I miss.

I have a queen-high flush (Qh 5h with 7h Th 8h on board). Only a few dealer holdings beat it: a higher flush or a full house or better. Raising 1x is clearly +EV.

5d6h offsuit is well outside the optimal 4x range, so I check preflop and keep the option to raise 2x on the flop if it improves.

I hold a pair of fives on a Q-5-A flop. The standard flop strategy for this game raises with any pair, and the dealer needs a pair to qualify, so a 2x raise has positive expectation.

4-3 offsuit is far outside the optimal 4x raising range, so I check preflop and keep the option to raise on the flop or fold on the river.

I have a pair of threes with a 2-3-4 wheel-straight draw on the flop. That should be ahead of enough random dealer hands to justify a 2x raise, and bottom pair is generally a raise on this street.

4-9 offsuit is far outside the optimal 4x raise range, so I check preflop and keep the option to raise on the flop or fold on the river at lower risk.

I have only nine-high with a gutshot (needs an 8), no pair and no flush draw. A 2x raise on the flop isn't worth it, so I'll check and decide on the river.

A pair of nines is a decent made hand on this board. The dealer beats it only with an 8, a K, T, 7 or 6 pairing the board, trips, or a higher pocket pair, so the 1x raise has clearly better EV than folding and losing 20.

Pocket deuces are inside the published optimal 4x range (33+ is listed, but 22 is a close edge). Pairs hold up well against the dealer's pair-or-better qualifier, so a 4x raise is a reasonable choice; 22 is marginal and sits near the boundary, but the raise is still close to neutral or better in EV.

T5 offsuit is outside the optimal 4x range (needs K5o+, Q8o+, JTo, etc.), so I check preflop and see the flop before deciding on a 2x raise.

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

The board pair of 3s means the dealer always qualifies. My pair of 3s with a Q kicker loses to any dealer A, K, J, or any card that pairs the board, roughly 83% of holdings. Raising has an EV of about -22 chips against -20 for folding, so folding is slightly better.

5s7d offsuit is far outside the optimal 4x raise range, so checking preflop keeps the risk low and lets me reassess on the flop.

I hold only an open-ended straight draw with no pair, so a 2x raise risks too much. Checking keeps the option to raise 1x on the river if the straight hits or fold if it misses.

I hold 5-7 with the 4-6-8 on the board, so I have an 8-high straight. Only a dealer holding exactly 9-T beats it with a higher straight, so raising is clearly +EV.