Showdown Hold'em table

J5o is not in the optimal preflop 4x raising range, so I check to see the flop.

We have two pair (jacks and fives) on the flop, which is a strong hand that justifies a 2x raise.

Holding 9c5d offsuit, a weak hand not in the optimal 4x or 3x raise ranges; checking preserves the option to fold later if the board doesn't improve our hand significantly.

Hand has no pair and no strong draw; checking preserves the option to fold or raise on the river.

Have two pair (Jacks and Nines) on a paired board. Dealer always qualifies, but our hand beats all one-pair and many two-pair hands. EV of raise 1x is positive against dealer's random range, so raising is correct.

Pocket queens are a premium hand and are in the optimal 4x raising range preflop.

K8o is in the optimal preflop raise_4x range (K5o+).

J8o is not in the optimal 4x raising range per the published table; checking allows us to evaluate the flop and potentially raise 2x with a favorable board.

Top pair with a jack on a J-9-3 board is strong enough to raise 2x on the flop according to optimal strategy.

6-8 offsuit is not in the optimal preflop raising range, so checking preserves chips.

With 6d 8c on a 9h 4d Tc flop, we have only a gutshot straight draw and no overcards. Raising 2x is negative EV; checking preserves the option to raise 1x or fold on the river based on whether we improve.

Low 86o on K-J-T-9-4 board makes only king-high, which loses to any dealer pair or ace-high. Dealer qualifies over 70% of the time, so raising 1x is negative EV.

Pocket threes are in the optimal 4x raising range (33+), giving us the best expected value by raising now.

Ad7s is an ace, which falls in the optimal 4x raising range (any ace) per the published preflop strategy.

K6o is within the optimal preflop 4x raising range (K5o+), so raising 4x maximizes expected value against the dealer.

QJo is in the optimal 4x raising range preflop.

K5o falls within the published optimal 4x raising range (K5o+), so I raise 4x.

Q2o is not in the optimal 4x raising range (requires Q8o+), so checking is the correct play.

Holding Q2o on K-T-7 flop with no pair and no draw, raising 2x is -EV; optimal to check and reserve decision for river.

With Q-high on a K-T-7-5-3 board, raising 1x yields about -17.97 chips expected net, better than folding's -20, because we win against 220 non-qualifying dealer hands (J-high or lower) and tie 69, while losing only the play and blind when dealer doesn't qualify with A-high.

82s is not in the optimal 4x raising range; checking is correct to see the flop cheaply.

Weak hand with no pair and only a backdoor flush draw; checking preserves chips for better opportunities.

T7o is not in the optimal 4x raise range, so checking is the correct play.

We have a gutshot straight draw and no pair. Checking preserves the option to raise on the river if we improve, which yields higher expected value than raising now with a weak draw.

I have a pair of tens with an ace on board; the dealer qualifies often with an ace or jack, and my kickers are weak. Raising risks 30 chips total, while folding loses only 20. The EV of raising is likely negative.

Q5s is below the optimal 4x threshold (Q6s+), and raising 3x would likely be negative EV; checking preserves chips for later streets.

Pair of 5s with two overcards (A and T) is a weak made hand; optimal strategy is to check low pairs with two overcards to preserve the option to raise on the river if the hand improves.

7d 8h offsuit is not in the optimal 4x range (requires 33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking is correct.

Middle pair of eights on a dry board; raise 2x as per optimal strategy.

J4o is not in the optimal 4x raising range (requires JTo or better), so checking is correct to see the flop before committing more chips.

Holding Jd4c on a T63 board gives no pair and no draw. Checking is correct as the hand is too weak to risk a 2x raise.

K6s is suited and in the optimal preflop 4x raise range (K2s+).

Pocket fives are in the optimal preflop 4x raising range.

K3o is not in the optimal 4x raise range (K5o+ required), so checking is the correct preflop action.

King-high with no pair and only a backdoor flush draw is too weak to raise 2x on the flop; standard strategy is to check and then fold on the river unless we improve to a pair or better.

With a pair of deuces and K-Q-T kickers, our hand beats all dealer hands without an A, K, Q, T, 9, 2, or pocket pair 33+, and without a straight or flush. Counting combinations gives about 276 wins, 69 ties, and 645 losses out of 990. EV of raising 1x is roughly -14 chips, while folding loses 20, so raising is the better choice.

42s is below the 4x threshold and too weak to 3x; checking to see the flop preserves chips.

With two pair (fives and fours) on a paired board, our hand is strong. Enumerating the 990 possible dealer hands, we expect to win over 80% of the time, and the expected value of raising is positive (around +5 chips) compared to folding which loses 20 chips. The blind pays 1:1 for a straight but we only have two pair, so blind pushes; however, the play and ante payouts make raising profitable.

With Jc5c on a ThKd7h board, we have no pair and no strong draw. Raising 2x would risk 20 chips with very low equity. Checking preserves the option to raise 1x or fold on the river after seeing the turn and river, which is higher EV.

K6o is in the optimal 4x raising range (K5o+), maximizing expected value.

Ts3h offsuit is well below the premium hands for a 4x raise (requires pairs 33+, any ace, K5o+, Q8o+, JTo+). It's also too weak to risk a 3x raise. Checking is optimal to see the flop without additional risk.

T3o on a 6-4-2 flop misses completely with no draws; raising 2x here would be throwing chips away. Check to see the turn and river cheap.

We have a 6-high straight (2-3-4-5-6). Dealer needs 7-8 or 3-7 to make a higher straight; combined odds about 3.5%. With 6 hands left, folding is -20 chips, raising 1x risks 10 to win 20 (ante+blind pay) plus play bet. High EV.

Q7s is in the optimal 4x raising range (Q6s+).

Any ace is in the optimal 4x raising range preflop according to the published strategy.

5c2h is well below the optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo); raising 3x is not justified, so check to see the flop.

With a pair of twos on a board showing 7-9-8-2-3, the dealer will qualify with any pair and likely has a better hand. Folding loses only the ante and blind (20 chips), while raising risks an additional 10 chips with very low equity.

Pocket sixes are in the optimal preflop 4x raising range (33+), so I maximize expected value by raising 4x.

9s 2h is not in the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preflop is correct.

I have a pair of nines on the flop, which is a made hand. Basic strategy says to raise 2x with any pair or better after checking preflop.

T2o is far below the optimal 4x raise threshold (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo); checking preserves the option to raise later if the board improves.

Holding Ten-high with no pair or draw on a high-card board, raising 2x would be -EV. Checking preserves chips for the likely fold on the river.

Holding Tc2d on QsKs7d4hQh board with one pair queens and weak kicker; against a random dealer hand from 45 unknown cards, the expected value of a 1x raise is strongly negative (dealer qualifies often and beats us). Folding loses only the ante and blind, which is better than risking an additional 10 chips with a hand that wins less than half the time.