Showdown Hold'em table

45s is far below the published 3x/4x raising range, so checking to see a cheap flop is optimal.

4-high with no draw on Td 9c As is far too weak to risk 20 chips; checking keeps the river fold option open.

We hold only 5-high with the board's pair of nines; dealer's two hole cards very likely make a better pair or kicker, so raising 1x has negative EV versus folding for 20 chips.

4c7c is far below the published 4x/3x raising range, so checking to see the flop is optimal.

4c7c on Qh3c8c is only a weak flush draw plus a gutshot; raising 2x here is far too thin, so I check and decide on the river with equity realized.

Folding forfeits 20 chips for certain; a 1x play bet risks only 10 more and the dealer often fails to qualify or loses, making raise the lower-EV-loss option with 7-high.

3h5c offsuit is well below the published 4x/3x raising range (33+, any ace, K/Q/J standards), so raising would just add exposure with a weak hand. Checking keeps the ante and blind in play and lets the flop decide whether a 2x raise is warranted.

3-5 offsuit on a J-7-6 flop gives only a gutshot (four 4s) with no pair, so a 2x raise has strongly negative EV; checking keeps the river raise-or-fold option open.

I hold the board's pair of sixes (6-6-J-7-5), so the dealer always qualifies; I win only when both dealer hole cards are 4 or lower (10/45 cases) and tie with any 5 (3/45). EV of betting 1x is about -16.9 chips versus -20 for folding, so raising is the better value play.

Q2 offsuit falls below the published 3x/4x raising range (needs Q8o+ or Q6s+), so checking preserves the flop raise option on favorable boards.

Queen-high with no draw is far too weak to risk 2x; checking keeps the river raise-1x-or-fold option with minimal exposure.

Pocket sevens meet the published optimal preflop 4x raise threshold (any pair 33+), so raising 4x has higher EV than checking and keeping the raise option for later streets.

84 offsuit is well below the 3x/4x raise range, so checking and capping risk at ante+blind is optimal; the flop decision point preserves EV later.

8-high with a backdoor heart draw only; folding loses 20 while a check costs nothing and river options remain open.

My best hand is jack-high (J-9-8-5-4); exact enumeration over 990 dealer holdings gives only ~40 winning combos (~4%) while ~597 dealer hands qualify, making the 1x raise EV about -24.6 chips versus -20 for folding.

8s2s falls below the optimal 4x preflop raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking keeps the flop option open with minimal risk; a 3x raise is dominated by either 4x or check.

My 2s over four board spades makes a king-high flush, a near-certain winner, so raising 1x is far better than folding.

A-K suited is a premium raising hand well above the 4x threshold (any ace qualifies preflop), maximizing value against the qualifying dealer.

Ace-three offsuit falls well outside the published preflop raising range (needs roughly K-high suited strength or better); checking keeps the option to evaluate the flop cheaply.

Trips kings with an ace kicker beat nearly all dealer holdings except full houses or A-x kickers; raising 1x is far better than forfeiting 20 chips.

The flop gives me a pair of fours, which is strong enough under the standard 2x flop strategy (raise all pairs); checking would surrender EV to dealer qualification rules.

9c6h offsuit is far below the published 4x/3x preflop raising range (pairs 33+, any ace, K/Q/J suited thresholds), so checking is optimal and preserves the cheap 2x flop raise if the board improves us.

I hold a pair of sixes on the A76 flop; against a dealer who needs a pair to qualify, the standard flop strategy raises 2x with any made pair, as check-then-raise-less leaves value on the table.

K7s meets the published optimal preflop 4x raise table (any suited king, K2s+), so raising 4x (40 chips) is the highest-EV line versus checking.

A2s falls squarely in the published optimal preflop 4x range (any ace), so raising the maximum 4x ante maximizes expected value versus checking.

9-3 offsuit is far below the published 4x/3x raise range (33+, any ace, K-high suited, etc.), so raising 60 chips total would be deeply -EV; checking preserves the cheaper flop and river decision points.

With 9-high and only a backdoor diamond/straight draw on K-4-2, raising 2x has deeply negative EV; checking preserves the option to fold or raise 1x on the river based on how the board develops.

With 9-high we only win when the dealer misses the pair-or-better qualification (~3%), but that makes raising (EV ≈ -19) slightly better than folding (-20), since a non-qualifying dealer pays the play bet while the ante pushes.

A-K offsuit is on the published optimal preflop raise table (any ace), so raising 4x maximizes EV versus checking.

J3s is below the optimal 3x/4x preflop raise range (needs J8s+), so checking to decide on the flop minimizes losses with this marginal hand.

I hold two pair (queens and jacks) on a paired board, and the dealer always qualifies via the board's pair of queens. Enumerating the 990 dealer holdings, I win about 67%, tie ~7%, and lose only ~26% (to any K, Q, JJ+, AA, or AT/T9 straight), so the 1x play bet has EV of roughly +8 chips versus -20 for folding.

Qc6c is queen-six suited, which sits exactly on the published optimal 4x preflop raise threshold (Q6s+), so raising 4x has higher EV than checking and playing the flop/river streets.

9-8 offsuit is well below the published 3x/4x raise range, so checking keeps the ante blind at minimal risk with a playable suited-connectivity-free hand.

9-high on a paired board with three diamonds gives almost no chance of beating even a qualifying dealer pair, so raising 1x just adds 10 more chips to a likely loss. Folding saves the extra play bet.

87 offsuit falls below the published 4x raising range (33+, any ace, K/Q/J thresholds), so checking keeps the 3x option alive on the flop with a speculative hand.

I hold a pair of 7s (887 with the board 9763K), which beats all dealer holdings that fail to make a pair; raising 10 chips to win ante+play plus a possible blind is clearly better than folding a made pair.

84 offsuit is far below the optimal 4x/3x raise range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the flop decision point with better EV than raising a weak hand.

T8 offsuit falls below the published 4x/3x raising range (needs J8s+/JTo or better), so checking keeps the flop 2x option and limits river exposure to a fold of just ante+blind.

Ace-high offsuit 8 is within the published preflop 4x range (any ace), giving strong equity against a dealer that must pair to qualify.

J3 offsuit is well below the published 3x/4x raising range (needs J8o+/JTs), so checking is optimal; we can still raise 2x on the flop if it improves.

Middle pair jacks with a jack on board gives good equity against the dealer's random holding; raising 2x here is profitable versus check's river decision, as a pair of jacks frequently wins whether or not the dealer qualifies.

J6o falls below the published 4x raise threshold (needs J8s+ or JTo), and a 3x raise is dominated by checking, which preserves the flop decision and option value.

J6o has little showdown value against a qualifying dealer; checking keeps the 2x play bet in reserve for the river decision where EV can be evaluated with full information.

2-3 offsuit is far below the published 4x/3x raise range (33+, any ace, K/Q/J thresholds), so raising would just put more chips at risk with the worst hand; checking preserves the flop decision at minimal cost.

My 2c-3d play the board (ace-high A-Q-J-T-8), so I can never beat the dealer — the board alone gives the dealer at least my exact hand, and any dealer pair, board pair, or king wins. Best case is a push (~20% when the dealer has two low non-pair cards), so raising adds 10 chips of pure risk (EV ≈ -23) versus a certain -20 for folding.

3s7d is well below the published 4x/3x raising range (needs 33+, any ace, or decent kings/queens/jacks), so raising would be strongly -EV. Checking preserves the cheap flop decision where I can raise 2x only with a made hand or big draw.

7-high with no pair, no flush draw, and only a runner-runner 5-6 straight hope; a 2x raise here would put 20 more chips at risk with almost no equity, so checking and deferring to the river raise/fold decision is clearly optimal.

I hold only the board's pair of 4s with a 7 kicker, so the dealer (who always qualifies via the board pair) beats me unless both hole cards are 6 or lower (~91/990 ≈ 9%). Raising 1x has EV ≈ -24.6 chips versus -20 for folding, so folding loses less.

KQ offsuit is well above the published 4x raise threshold (K5o+), so raising the maximum preflop maximizes EV with this strong holding.

A2o falls inside the published optimal 4x preflop range (any ace), so raising 4x maximizes EV versus checking and seeing the flop.

K5 offsuit sits exactly on the published optimal 4x preflop raise boundary (K5o+), so raising 4x maximizes EV versus checking.

T5o misses the optimal preflop raise criteria (needs 33+, any ace, K/Q/J-range hands), so checking keeps the flop raise option open with minimal committed risk.