Showdown Hold'em table

J4s is below the published 3x/4x raising range (needs J8s+), so checking keeps the flop decision open with minimal risk.

J4o with no pair or draw on a 957 board is far too weak to risk 2x; checking keeps the river decision cheap where I can fold if the board doesn't help.

Jack-high cannot beat a qualifying dealer hand, and raising 1x loses 30 chips whenever the dealer pairs (about 85% of holdings), giving EV near -24 vs -20 for folding.

9-3 offsuit is far below the published 4x/3x raising range, so checking to see a free flop is clearly best.

9-high with no pair or draw on a 2h7h4s flop has almost no equity; raising 2x would be a large losing bet, so check and decide on the river.

I have 9-3 high with no equity; the dealer always calls a river raise, so raising is pure value and my hand rarely beats the dealer's pair-or-better. Folding saves the extra 10-chip play bet at minimum cost.

K5s meets the published optimal 4x raising range (any suited king), so raising 4x maximizes EV versus checking.

JTs suited is well above the published 4x raise threshold (J8s+), so raising 4x maximizes EV with a strong connected suited hand.

K4o is just below the published 4x/3x preflop raising threshold (K5o+), so checking is optimal; I can still raise 2x on the flop if it improves.

King-high with no pair on an ace-high board has little value; checking keeps the river option to raise_1x or fold cheaply.

I hold the board's two pair (aces and threes) with a king kicker; the dealer only beats me with an ace, a better hole pair, or a Q-high-or-better kicker, so a 1x river raise is marginally better than folding.

5-3 offsuit is far below any raising range; checking keeps the ante/blind at risk minimum and defers the 2x flop decision.

With 5♠3h on A-Q-5 I only hold bottom pair's weak kicker; raising 2x would put 40 more at risk with little edge. Check and evaluate on the river.

My best five is the board itself (aces up with Q-J-5), so folding surrenders 20 chips for sure; raising 1x risks only 10 more and wins whenever the dealer fails to improve the board, making raise (~-7 EV) far better than fold (-20).

9s7d is well below the published 4x/3x raising range (33+, any ace, K2s+, Q6s+, J8s+), so checking and deciding on the flop minimizes expected loss.

Middle pair (sevens) with a top-pair kicker on the flop is well above the 2x raise threshold; raising maximizes EV versus checking down.

J3s is well below the published 3x/4x raising range (needs J8s+ or JTo), so checking to see the flop is optimal.

J-3s has no showdown value on a K-high board; checking preserves the option to avoid the 2x play bet, and folding later at the river costs the same as folding now if the hand doesn't improve.

With jack-high and no pair on the river, my hand almost never beats the dealer's qualifying pair, so raising 10 more chips is worse than folding and losing only the ante and blind.

KQo meets the published 4x raise table (K5o+), so raising 4x preflop maximizes EV versus checking.

J6o is well below the published 4x/3x raising range (needs J8s+/JTo or better), so checking to see a free flop is optimal.

J6o on a 682 board is weak; raising 2x here is far below the flop raise threshold, so check and decide on the river.

The board pairs the dealer (pair of 2s), so the dealer always qualifies and always beats my jack-high; raising only adds 10 chips to a certain loss, so folding for 20 is cheaper.

9To offsuit falls below the published 4x/3x raise range (needs JTo or J8s+); checking keeps flop options open.

9To has little equity against a dealer likely pairing; checking preserves the option to evaluate on the river and keeps risk minimal.

I hold trip sevens, which beats nearly every dealer holding and always qualifies the dealer; raising 1x is clearly profitable versus folding.

J6s falls below the published 4x raising range (needs J8s+), so checking to see the flop is optimal.

Jack-high with no pair on a paired queen board is far too weak to put 2x at risk; checking keeps the river decision cheap where I can fold if the board doesn't help.

I hold trip queens with a jack kicker; the dealer must hold a pair or better to qualify, and my trips beat nearly every qualifying dealer hand, so raising 1x is far better than folding.

5-4 offsuit is well below the published 3x/4x raising range, so checking keeps the ante/blind at minimum risk and defers to flop/river decisions.

Pair of fives on a dry T-high board is marginal; checking preserves the option to value-rate or fold on the river with exact information.

My two pair (5s and 4s) beats any single-pair dealer hand, and many dealer holdings miss entirely; raising 1x is far better than folding away 20 chips.

Pocket aces are strongly above the published 4x raise range; maximizing value preflop with the nuts.

Ace-Jack offsuit is well above the published 4x raise threshold (any ace), so the max preflop raise maximizes EV.

Q5s falls below the optimal 3x/4x raising range (needs Q6s+ or Q8o+), so checking and deciding on the flop is the highest-EV line.

Q5o on a K92 flop has little equity; checking keeps the river fold option open rather than committing 2x ante with a weak hand.

With queen-high I can only win if the dealer misses a pair (~under 45%), and raising 1x then loses 30 when he qualifies, making raise EV worse than the guaranteed -20 fold.

Any ace raises 4x preflop per the optimal table; A7o qualifies.

8d2c is far below the 3x/4x raising range; checking keeps the ante at risk with minimal exposure and lets the flop decide.

I flopped a pair of eights, a solid made hand; raising 2x puts more in when I likely beat the dealer's qualifying range.

8s3s offsuit is far below the 3x/4x raise threshold; checking keeps the ante and blind in play with cheap flop options.

With 3s8d on a 5-6-2 board I have only a weak draw/small overcard; raising 2x with no pair and minimal equity is -EV, so I check and re-evaluate on the river.

The board pairs itself (2-2), so the dealer always qualifies with at least a pair; my 3-8 high cannot beat that, so raising 1x is throwing good money after bad.

5-7 offsuit is well below the published 4x/3x raising range, so checking keeps the flop option alive and minimizes risk with this weak holding.

5-7 with no pair and no draw on 8d-2s-Js has little equity; raising 2x would risk 20 more chips on a hand unlikely to beat a qualifying dealer. Checking keeps the river option to raise 1x or fold cheaply.

I hold a jack-high straight (5-6-7-8-J), which beats most dealer holdings; raising 1x to win ante, play, and blind is clearly better than folding.

Pair of deuces is below the standard 4x threshold (33+), but combining it with a 3x range edge; actually 22 is marginal, so the safer EV choice is the smaller 3x raise.

J6s is below the optimal preflop raise range (needs J8s+ or JTo), so checking to see the flop is the highest-EV line.

J6o on a paired low board has little equity; raising 2x with a weak unpaired hand is -EV, so check and evaluate on the river.

My jacks-up (JJ22) beats most dealer holdings: all non-qualifying hands, small pairs, and 22-with-low-kicker, while only jacks-better kicker, bigger pairs, or board-paired hands beat me, so raising 1x is clearly +EV over folding.

K3o misses the published 4x/3x raising criteria (needs K5o+); checking keeps the ante and blind at risk with flop and river decisions still available.

I hold top pair (kings) with a diamond backdoor draw; raising 2x on the flop is clearly profitable versus the dealer's range.

T9 offsuit misses the published 4x/3x raise table (needs JTo or better), so checking and deciding on the flop is optimal.

T9o on a Q-7-2 flop has only a gutshot and no pair; raising 2x here is far below the EV threshold, so checking and deciding on the river is best.

My pair of tens beats most dealer holdings that don't qualify or make a pair; with only a 1x play bet at risk the river raise is clearly +EV versus folding away 20 chips already posted.

KJs is well above the published 4x raise threshold (K2s+), so betting the maximum preflop is optimal.

T9s is below the published 4x/3x raising range (needs J8s+), so checking and deciding on the flop minimizes risk with this marginal suited connector.

T9 with a heart flush draw and two live overcards has strong equity against the dealer's random holding; per optimal flop strategy this is a clear 2x raise rather than check.

JTs suited is well above the published 4x raise threshold (J8s+), so raising 4x maximizes EV versus checking.

J8 offsuit falls below the published 3x/4x raising range, so checking to see the flop minimizes risk.

J8o on a K-high board has little equity; raising 2x with a weak unpaired hand is unprofitable, so check and decide on the river.

The 1x river raise only needs to win ~40% of the time vs folding; with a pair of eights on a K-high board I beat all sub-8 dealer pairs and every non-qualifying ace/high-card hand, which is comfortably above the threshold.

Q2o is below the published 3x/4x raising range (needs Q8o+), so checking preserves flop options with minimal risk.

Queen-high with no pair on a low dry flop is far too weak to risk 2x; checking preserves the option to fold cheaply on the river.

Q-high loses to any dealer pair, but the dealer misses qualification often enough that risking 10 more to collect play plus ante beats folding away 20; the raise is roughly break-even to positive versus a guaranteed -20 fold.

QJ suited-classes: QJo meets the JTo/Q8o threshold in the published 4x preflop table, so raising 4x is the opti_EV play.