Showdown Hold'em table

6d5s is offsuit and too weak for the published 3x/4x preflop raising range (needs K5o+ or better), so checking to see the flop with minimal risk is optimal.

K2s is a suited king, which meets the published optimal preflop 4x raise criteria (K2s+); raising 4x here is the highest-EV line versus checking.

J9s falls inside the published optimal 4x preflop raise range (J8s+), so raising four times the ante maximizes expected value versus checking.

9-3 offsuit is far below the published 4x raising range (33+, any ace, K/Q/J-combos), so checking keeps the cheap flop raise_2x option and limits losses on weak holdings.

9-high on an A22 board has almost no equity; checking keeps only the ante/blind at risk and river play will decide whether to bet 1x or fold.

84 offsuit is far below the published 4x/3x raising range (33+, any ace, K/Q/J requirements), so checking to see the flop is optimal.

With 4-high and no draws on a paired board, my equity is far too weak to justify 2x ante; check and fold cheaply on the river if nothing improves.

King-jack offsuit meets the published 4x preflop raise criteria (K5o+), so raising maximum ante multiple is optimal.

4c3h is far below any preflop raising range, so I check and plan to fold on the river if the board doesn't improve enough to value-raise.

Jacks are a pocket pair well above the check range (33+) and above the 3x-raise range (J8s+/JTo), so raising is clearly profitable; 3x vs 4x has negligible EV difference at this hand strength, so take the cheaper raise.

King-six suited falls within the published optimal 4x raising range (K2s+), so betting 4x the ante maximizes expected value.

94o is well below the published 4x/3x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking keeps the ante-blind exposure minimal and preserves the option to raise 2x on a favorable flop.

My 4d pairs the board's 4c/4h to give me trip fours, and the board pair means the dealer always qualifies. Only 4s+A/K, 4s+pocket pair, or a 9-T straight (~7.5% of dealer holdings) beat me, so betting 10 chips wins ~+15.6 EV versus -20 for folding.

J5o is below the published 4x/3x raise range (needs J8s+ or JTo), so checking to see the flop is optimal.

Q6 offsuit sits below the optimal preflop raise range (needs Q8o+ offsuit or Q6s suited), so checking keeps the ante/blind at minimum risk and preserves the flop raise_2x option.

My best five is king-high (no pair, no draw came in); I lose the vast majority of river showdowns, so folding to save the 20-chip river raise is better than raising 1x.

K7 offsuit meets the published 4x preflop raise threshold (K5o+), so raising 4x maximizes expected value versus checking.

3s4c is far below the 4x/3x raising range (33+, any ace, K/Q/J thresholds), so checking keeps only the ante at risk and preserves the flop 2x and river 1x decisions where equity can be re-evaluated.

Queen-deuce offsuit is well below the published 3x/4x raise range (needs Q8o+), so checking keeps the play bet optional on later streets.

The board's pair of 2s gives me trip twos with A-K kickers; the dealer only beats me with a deuce or pocket fives in the hole, so raising 1x is overwhelmingly +EV versus folding.

Pocket deuces are below the 33+ threshold for the optimal preflop raise table, so checking and seeing the flop is best.

Pocket twos are barely a pair on an 88Q board where any dealer 8, QQ, or overpair dominates; raising 2x only adds risk with little fold equity against a house dealer, so check and let the river decide cheaply.

J4o is well below the published 3x/4x raising range (J8s+/JTo), so checking is optimal and saves chips versus raising a marginal hand.

J4o with only a jack-high draw potential on a Q-T board is too weak to invest 2x; checking keeps river fold/raise option cheap.

My pair of fives (J kicker) beats all unpaired dealer hands and low pairs; dealer only beats me with a higher pair. Raising 1x swings only 10 chips vs folding's certain -20, and win probability is well above the break-even threshold.

J8s is on the published optimal 3x raise range (suited jacks), so raising 3x maximizes EV versus checking.

7d4h offsuit is far below the optimal 4x/3x raise range (33+, any ace, K/Q/J-high specs), so checking to see a free flop minimizes risk with this weak hand.

7-high has almost no showdown value and raising 2x (20 chips) on K55 with 7-4 is nearly dead money; check and decide on the river based on whether we improve.

Two pair (5s and 4s) likely beats the dealer often; folding surrenders 20 chips for sure, while risking 10 more to win the play bet plus ante is clearly +EV.

9d6d is well below the optimal 4x/3x raising range (33+, any ace, K2s+, Q6s+, J8s+), so checking preserves the cheap flop decision where I can still raise 2x if the board connects.

J6 offsuit is well below the optimal 4x/3x raising range (J8s+/JTo+ for jacks), so raising would be -EV; checking keeps the option to raise 2x on the flop if it connects.

J6-high on a dry flop is far too weak to put 2x at risk; check and evaluate the river for a cheap 1x raise or fold.

I hold only jack-high; the board has no pair, so the dealer qualifies whenever he holds any pair (~56%) and any pair beats me. Even unqualified A/K/Q-high hands beat jack-high, so raising 1x is worse than folding.

Ace-seven offsuit falls squarely in the published optimal 4x preflop range (any ace), so raising the maximum 4x ante is the highest-EV line.

A8s contains an ace, which is a 4x raise in the published optimal preflop table; suited ace equity plus blind-bonus upside makes raising clearly better than checking.

Q9 offsuit is above the published 4x threshold (Q8o+), so raising 4x preflop is the optimal play.

Pocket tens sits well inside the published optimal 4x preflop raise range (33+), so putting 4 antes in now maximizes expected value before the board can counterfeit the pair.

Queen-high with only a backdoor flush draw is far too weak to double the play bet on the flop; checking keeps the cheap river option to raise 1x or fold later.

I hold a pair of queens (board pair plus my Qh), which beats the dealer's unpaired holdings often enough that risking 10 to win 10 plus ante equity is better than folding 20.

J7o misses the published 4x/3x raising range (needs J8s+ or JTo), so checking to see the flop is optimal.

J7-high on A44 has almost no showdown value and raising 2x risks 20 more chips with a hand that rarely beats the dealer's pair; checking keeps the river fold option cheap.

I hold two pair (sevens and fours with an ace kicker), which beats most dealer holdings and likely makes the dealer qualify, so raising 1x has far better EV than folding.

76s falls below the published 4x raise criteria (33+, any ace, K-high, Q-high, J8s+/JTo), so checking keeps the flop 2x option and river decision, which has higher EV than raising now.

With 7-high and no pair, we lose to any dealer pair and can't even beat a non-qualifying dealer high card reliably; folding saves the 1x play bet with negative equity.

75o is far below the 4x/3x raising range; checking keeps the ante at risk with a cheap flop decision instead of adding 30-40 chips with a weak hand.

I hold two pair (7s and 4s) and the board's pair of 4s guarantees the dealer qualifies, so the ante always pays on a win. The dealer only beats me with an 8, a remaining 4, 7d7s, or a pocket pair of 8s or better (~25% of the 990 holdings, ~8% ties), making the 1x raise clearly positive EV (~+6 chips) versus folding for a guaranteed -20.

72o is far too weak for the 3x/4x raising range; checking keeps the ante at risk only on the flop/river decision.

I hold king-high only, so I win just when the dealer misses (~37% on this unpaired board, then play bet pays +10 while ante/blind push). Raise EV ≈ -15 ante beats folding for -20, and check isn't legal on the river.