Showdown Hold'em table

7d4c offsuit is far below the published 4x/3x raising range (33+, any ace, K2s+, etc.), so checking keeps the flop option open and avoids committing 30-40 chips with a weak hand.

Seventh-fourth high with no draw on 6-9-3 has far too little equity to justify committing 20 more chips; keeping the pot small preserves the cheap river option where I can raise 1x only with real strength.

Our best hand is K-Q-9-7-6 (king-high, no pair); the dealer qualifies ~60% of the time and beats us every qualifying hand, and we win only ~40/990 non-qualifying runouts. Raising 1x has EV about -24.2 chips versus -20 for folding, so folding loses less.

Pocket sevens exceed the published 4x preflop raising range (33+), so betting 4x the ante maximizes expected value before the board.

7s6d offsuit is far below the published 4x/3x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking keeps the ante/blind at risk minimal and preserves the 2x flop raise option on a favorable board.

My two pair (eights and sevens with a K kicker) beats ~68% of dealer holdings (pair-of-eights-type hands and low two pairs) with ~24% losses and ~8% ties; since the board 8-8 guarantees the dealer qualifies, raising 1x has EV ≈ +6 chips versus -20 for folding.

Ten-five suited is far below the published 4x/3x preflop raise range (needs Q6s+ or better), so checking keeps the flop option open at minimal cost.

K9 offsuit meets the published optimal 4x preflop raise threshold (K5o+), so betting 4x the ante maximizes expected value versus checking.

Q9s falls inside the published optimal 4x preflop range (Q6s+ for suited queens), so raising 4x maximizes expected value versus checking.

Q7o falls just below the published 3x/4x raise threshold (Q8o+), so checking and deciding later on the flop is optimal.

My trip sevens beat most dealer holdings that don't qualify, and dealer's pair of sevens with lower kicker or smaller made hands lose; raising 1x for value is far better than folding 20 chips.

T3s falls well below the published raise thresholds (3x needs roughly T8s+), so checking keeps the ante/blind in play and preserves the option to raise 2x on a favorable flop.

Middle pair (tens) on the flop is well ahead of the dealer's qualification range; optimal flop strategy raises 2x with any pair here.

Q4 offsuit falls below the published preflop raise range (needs Q8o+ or Q6s+), so checking keeps the ante/blind risk at 20 and preserves the flop 2x raise option.

My best five is only jack-high (J,Q,8,7,6), which loses to any dealer pair; the paired 6 board makes dealer pairs very likely, so raising 10 more is worse than surrendering the 20 already posted.

Ten-three offsuit falls well below the optimal 3x/4x raise range (roughly Q8o+, K5o+, any ace, pairs), so checking keeps the ante at minimum risk.

Any ace, including A2s, is on the published 4x preflop raise table; raising max value with the ace-high edge.

94o is far below the 4x/3x preflop raising range, so checking keeps the ante and blind alive for a cheap flop decision.

The board pairs my 9c for trip nines, and with two nines on board the dealer always qualifies; only 7-8 or J-T straights (32 of 990 combos) beat me while 9d ties, so raising 1x nets about +17.5 chips versus -20 for folding.

A2o falls in the published optimal preflop 4x range (any ace), so raising 4x (40 chips) maximizes expected value versus checking.

94s is well outside the published 4x preflop raise range (33+, any ace, K/Q/J thresholds), so risking 30-40 chips is -EV. Checking preserves the cheap flop 2x and river 1x/fold options with suited junk.

9c4c on Qd-3c-Js has almost no equity against the dealer's qualifying range, and a 2x raise would put 20 more chips at risk with little chance of winning. Checking keeps the river decision cheap where I can fold if the board doesn't improve my hand.

Pocket nines comfortably exceed the published 4x raising threshold (pairs 33+), so betting 4x the ante maximizes expected value versus checking.

J5o falls outside the published 4x preflop range (needs J8s+ or JTo), and a 3x bet is dominated by checking, which preserves the cheaper 2x flop and 1x river raise options.

Q2 offsuit falls below the optimal preflop raise range (Q8o+/Q6s+), so raising 3x or 4x is -EV; checking preserves the flop option.

Queen-high flush draw with two cards to come hits a flush ~35% of the time, which supports betting 2x ante plus all overcard/blind equity.

King-ten suited is in the optimal preflop 4x raising range (K2s+), so raising maximum ante is EV-positive.

Q8s meets the published optimal preflop 4x raise threshold (Q6s+ suited), so raising 4x is the highest-EV play versus checking.

JTs suited meets the published 4x raising range (J8s+), with strong straight/flush potential.

32s is far below the published 3x/4x raising range, so checking to realize flop equity is optimal.

With 3-7 offsuit on Q-5-4, I have essentially no equity and should minimize losses. Checking keeps the option to fold cheaply on the river if the board doesn't improve my hand.

We hold only the board's two pair with a queen kicker; dealer holdings with an ace, king, queen, 4 or 5 beat us, and low-no-pair hands tie. Raising is EV-negative versus folding for -20.

J6s is below the preflop raise range (needs J8s+ or JTo), so checking keeps options open for a flop raise with decent equity.

K6o is inside the published optimal 4x preflop range (K5o+ or better), so raising the maximum ante multiple is the highest-EV line; 3x and check are dominated here.

A4o falls inside the published optimal preflop 4x raise range (any ace), so betting 4x the ante has higher EV than checking and keeping only the flop/river options.

Q3 offsuit falls well below the optimal preflop raising range (needs Q8o+ for offsuit queens), so checking keeps the cheaper 2x flop and 1x river decisions available instead of risking 3-4x ante on a weak hand.

The board 2-6 plus my 3h gives me a six-high straight; only a dealer hole card 7 (~17% of combos) beats me, while I win ~71% and tie ~12%, making the 1x play bet (+~14 chips EV) far better than folding (-20).

9-3 offsuit is far below the published 4x/3x raising range (33+, any ace, K2s+, etc.), so the optimal play is to check and keep the cheap flop decision open.

9-3 no pair and no viable draw on J85 - raising 2x risks 20 chips with negligible equity, while checking keeps the option to fold cheaply on the river if we don't improve.

63 offsuit is well below the published preflop raising range (33+, any ace, K/Q/J thresholds), so checking keeps the ante-blind exposure minimal and preserves the flop raise option if the board improves our equity.

With 3-high on an ace-high board I have almost no equity; raising 2x would put 40 more chips at risk against a dealer likely holding a pair. Checking preserves the option to fold cheaply on the river if the dealer's range stays strong.

Kc2d offsuit falls below the published 4x preflop raise threshold (offsuit kings need K5o+), and a 3x raise is dominated, so checking keeps the flop 2x option alive with minimal added risk.

T9 offsuit misses the published preflop raise range (needs Q8o+ or suited); checking keeps the option to raise 2x on a favorable flop.

K7s meets the optimal 4x raising criteria (any suited king), so raising four times the ante maximizes expected value.