Showdown Hold'em table

7s3c is far below the optimal 4x/3x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so committing 30-40 chips has negative EV; checking preserves the flop decision point where I can raise 2x or get out cheaply on the river.

My best hand is king-high (K-Q-T-7-6), which loses to every dealer pair; only ~40 of 990 dealer combos both fail to qualify and lose to me. Raising 1x has EV about -20.9 chips versus -20 for folding, so folding saves roughly a chip.

2c-6s is far below the published 4x/3x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking keeps the ante and blind in play and defers the decision to the flop.

Pair of twos is far too weak to risk 2x on the flop; checking preserves the river raise-or-fold option.

My pair of 2s (A-Q-J kickers) can never beat a qualifying dealer hand, but ~42% of dealer combos fail to qualify (I win +10) and ~5% tie, so raising (EV ≈ -11.4) loses less than folding (-20).

4s5h is not on the published preflop 4x raise table (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking keeps the ante-only line and lets a strong flop earn the cheaper 2x raise.

I hold only 4-high with a bare gutshot (any 6) on Q-8-7; with no pair or strong draw, risking 2x ante is clearly -EV, so I check and let the river decide whether to raise or fold.

K9s meets the optimal preflop 4x raising range (K2s+ suited kings), so putting 40 chips on the play maximizes EV versus checking.

3s7s is far below the published 4x/3x raising range (33+, any ace, K2s+, etc.), so checking preserves the cheap flop and river decisions instead of committing 30-40 chips with a weak suited connector.

My best hand is the board's pair of fours with A-Q-7 kickers, while the dealer plays the board at worst (4-4-A-Q-T), which always qualifies and always beats me. Raising adds 10 chips to a certain loss, so folding saves 10.

QJo offsuit is above the published 4x raise threshold (Q8o+), so raising 4x preflop is the optimal play against the dealer's qualify-with-pair rule.

2h5d offsuit is far outside the optimal 4x/3x raising range (pairs 33+, any ace, K/Q/J standards), so checking preserves the option to raise 2x on the flop or reassess rather than committing 30-40 chips on trash.

Pocket sevens are well above the 33+ threshold in the published optimal preflop table, so raising 4x has positive EV versus checking. Raising also locks in the full play bet before the board can diminish the hand's value.

6-2 offsuit is far too weak for the published 3x/4x raising range (needs pairs, aces, or decent kings/jacks); checking keeps the option to evaluate cheaply on the flop.

I hold the board's trip kings (KKK97); enumerating all 990 dealer holdings, I win 306, tie 9, and lose 675 (quads via Kh, pocket-pair full houses, two-club flushes, or 9/8+ kickers). Raising 1x has EV about -14.3 chips versus -20 for folding, so betting the 10 to protect the ante and blind is clearly better.

4h6s is far below the published preflop raise range (33+, any ace, K-high, etc.), so raising just adds risk with a weak hand; checking keeps the ante/blind at risk and lets the flop decide.

4-6 on a T-3-8 flop is 6-high with no pair and only a backdoor double-gapper needing running 5-7, so raising 2x would put 20 more chips at risk with a nearly dead hand; checking preserves the option to fold cheaply on the river.

With 64-high on a K-high board we lose to any dealer pair and qualify nothing; folding saves the 10-chip river bet since a raise only adds risk.

T7 offsuit falls below the published 4x/3x raising range (needs JTo or better among ten-high hands), so checking preserves the flop 2x raise option at no extra cost.

T-high with no pair, no flush draw, and no four-card straight draw on J-Q-2; raising 2x here would put 20 more chips at risk with a hand that rarely beats a qualifying dealer, so checking preserves the cheap river decision.

I hold a pair of sevens, which beats many dealer holdings like unpaired hands and small pocket pairs; betting 10 to win 20+ against a dealer who must pair up gives positive value versus folding a made pair.

KJs is inside the published optimal 4x preflop range (any suited king, K2s+), so betting the maximum 4x ante maximizes expected value versus checking.

2s4d is well below the published 4x/3x raising range (33+, any ace, K2s+, Q6s+, J8s+), so raising would be a large -EV bet. Checking costs nothing and keeps the flop 2x raise and river 1x/fold options open.

My best hand is exactly the board (A-A-4-4-J), so I can only tie or lose; the dealer plays the board at minimum and always qualifies. Folding surrenders 20 chips for certain, while raising loses 30 only when a dealer hole card improves on the board (18 of 45 unseen cards), giving EV -12 versus -20 for folding.

J4 offsuit is well below the published 4x/3x raise range (no ace, weak king/queen/jack standards not met), so checking keeps options open on the flop.

J-high with only a backdoor spade draw on K-T-8; raising 2x here would be throwing money at a likely losing hand, so I check and decide raise-vs-fold with full information on the river.

Ad4d is any ace, which is a 4x raise on the published optimal preflop table; ace-high with a suited kicker has strong equity against the dealer's pair-to-qualify structure.

7s6s falls below the published 4x/3x preflop raise range (needs 33+, any ace, K-high, Q6s+/Q8o+, or J8s+/JTo), so checking keeps the cheap flop option to raise 2x on a favorable board instead of risking 30-40 chips on a marginal suited connector.

My hole cards give me a king-high flush (K-J-T-7-6 of spades), which beats nearly every dealer holding except rare ace-high flushes or straight/royal flushes; folding surrenders the ante and blind for certain, so raising 1x is clearly maximum EV.

K6s meets the published optimal preflop 4x threshold (any suited king, K2s+), so betting the maximum 4x ante maximizes expected value.

4c6d offsuit is well below the published 3x/4x raising range (Q8o+, K5o+, any ace), so checking is optimal.

74 offsuit is well below the published 4x/3x raising range (33+, any ace, K/Q/J thresholds), so raising would just put more chips at risk with a weak hand; checking keeps the ante and blind live and defers the decision to the flop.

My hand is just the board's pair of kings (KKQJ9); the dealer always qualifies and beats me with any hole card 9+ or any pocket pair (701/990 ≈ 71%), tying only on two low non-pair cards (289/990). Raising 1x has EV ≈ -21.2 chips versus -20 for folding, so folding is correct.

AJo falls squarely in the published optimal 4x preflop raise range (any ace), which maximizes EV against the dealer's qualify-with-pair threshold.

KJo offsuit falls within the published optimal 4x preflop raise range (K5o+), so betting 40 chips maximizes expected value versus checking.

2h6s offsuit is far below the optimal 4x/3x raise range (33+, any ace, K2s+, etc.), so raising would be dead money; checking keeps the option to raise 2x on the flop if it improves our hand.

9-2 offsuit is far below the optimal preflop raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so raising would be -EV; check and let the flop decide whether to raise 2x or fold on the river.

I hold only K-high (K-Q-J-9-6), so I lose to every qualifying dealer pair (597/990) plus 216 non-qualifying A-high/T-high/9-high hands, winning only 144 and tying 33. Raising 1x has EV -21.0 chips versus -20.0 for folding, so folding saves a chip on average.

K9s is suited and above the K2s+ threshold in the optimal preflop 4x raise table, so raising 4x maximizes EV versus checking.

J7 offsuit falls below the optimal preflop raise range (needs J8s+ or JTo), so checking keeps the flop option open with minimal risk.

Jack-high with no pair and only a backdoor diamond draw on a low 4-9-3 board is far too weak to commit 2x; checking keeps the river option to fold for just ante and blind.

J6o is below the published preflop 4x/3x raising range (needs JTo+ or Q8o+), so checking is optimal and keeps river decisions open.

I hold top two pair (jacks and eights) and the board pair guarantees the dealer qualifies; the dealer only beats me with an 8, a jack plus a 9+ kicker, or QQ/KK/AA in the hole (~146 of 990 combos), so raising 1x nets about +12 chips on average versus a guaranteed -20 from folding.

Q2c misses the published 3x/4x preflop raise criteria (needs Q6s+ or Q8o+), so checking and playing the flop is optimal.

Q2 on a paired board gives just pair of jacks with a weak kicker; raising 20 extra has poor equity since dealer pairs the board almost always. Check and likely fold on the river.

7-9 offsuit is far below the published 4x/3x raising range (33+, any ace, K/Q/J-combo thresholds), so checking preserves the cheap flop raise option with a weak speculative hand.

Pocket 4s fall below the published 4x raising range (33+), so the optimal line is to check and keep the flop raise_2x option alive; raising 3x with a marginal pair only adds risk without the EV of the 4x range.

4s6s is far below the published 4x/3x raise range (33+, any ace, K2s+, Q6s+, J8s+), so raising would be -EV; checking keeps the ante and blind in play and lets me reassess on the flop.