Showdown Hold'em table

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

32s is far below the optimal 4x range and has poor equity; checking preserves the option to raise later if the board improves our hand, minimizing expected loss.

Holding 3-high with no pair and only a backdoor flush draw on a high-card board, raising 2x would be -EV. Checking preserves the option to fold on the river if we don't improve.

Our hand is exactly the board's high card Ace with kickers K-Q-T-8; the dealer can only tie or beat us, never lose. Raising would risk an additional 10 chips with zero chance to win, so folding loses only the ante and blind.

Optimal preflop strategy dictates raising 4x with any ace, including A7o.

Ace-Four offsuit is in the optimal preflop 4x raising range (any ace).

Pocket eights are in the optimal preflop 4x raise range (33+), so raising maximizes expected value against the house dealer.

Ace-Ten offsuit is in the optimal 4x raising range (any ace).

Holding 9d 3s is far below the published optimal 4x raising range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking preserves chips and allows us to see the flop before committing more.

I have a pair of nines on the flop, which is a made hand with positive expected value; raising 2x captures value while I’m ahead of many dealer hands.

7-2 offsuit is far below the optimal 4x raising range; checking preserves chips and allows us to see the flop before committing more.

Holding 7-high with no pair or draw on a K-J-8 board, raising 2x would be heavily -EV. Checking preserves the option to fold on the river if we don't improve.

Board pair of 8s means dealer always qualifies. My kickers (K-J-7) lose to any dealer hand with an Ace or Queen or a pocket pair above 8. Enumeration shows my equity is below the fold threshold of -20 chips.

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

T5o is outside the optimal preflop 4x raising range; checking preserves chips for better opportunities.

I have two pair (tens and fives) on the flop, which is a strong made hand. Raising 2x maximizes expected value against the dealer's range.

K6o is in the optimal preflop raise 4x range (K5o+), so we maximize expected value by raising 4x.

T9o is not in the optimal 4x raising range (requires JTo or better), so checking is correct.

Two pair (tens and nines) on a board with an ace is a strong hand; raising 2x now captures value against dealer's potential pair of aces or worse, and avoids missing value if the river brings a scare card.

JTo is in the optimal 4x raising range.

8s 2d is not in the optimal 4x raising range, so check to see the flop.

Holding 8-high with no pair and no draw on a K-J-9 board, raising 2x would be negative EV. Checking preserves the option to fold on the river if we don't improve.

5c 2h is not in the optimal 4x raising range, so check to see the flop.

Holding 5c2h on a paired board with no draws, checking preserves the option to fold on the river if no improvement occurs, minimizing expected loss.

With two pair (4s and 2s, Q kicker) on a board with a pair of 4s, our hand is vulnerable to any dealer hand containing a Q, 8, or a pocket pair higher than 2, or a 4 for trips. Enumerating the 45 remaining cards, we lose to many combinations (any Q, 8, 5, or pocket pair 3s+), and the expected value of a 1x raise is negative compared to folding and losing only the ante and blind.

6d 3c is well below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves chips.

No pair, no draw, 6-high on a coordinated board; raising 2x would be -EV.

We have a ten-high straight using the 6 in our hand and the 7-8-9-T on the board. The only hands that beat us are higher straights, which require the dealer to hold a J (for J-high) or J-Q (for Q-high). With an unpaired board, no flush or full house is possible. Given the wide range of dealer hands, we are a strong favorite, so raising 1x is positive expected value.

Any ace is in the optimal 4x raise range.

K6 suited is in the optimal 4x preflop raising range (K2s+), maximizing expected value.

9h6h is not in the optimal 4x raising range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking to see the flop is correct.

We have only a pair of Aces with 9-high kicker and no draw; checking preserves the option to fold on the river if we don't improve, which is better than risking 2x with a weak hand.

Pair of Aces with low kickers on a four-flush board; raising 1x has EV -21.2 chips vs fold -20.

QTo is in the optimal 4x raising range (Q8o+).

Pocket kings are a premium pair, well within the 4x raise range.

K9o falls within the optimal preflop 4x raising range (K5o+), maximizing expected value.

T9s is not in the optimal 4x range; checking to see the flop and potentially raise 2x if we connect.

Two pair (tens and nines) with a flush draw has high equity against the dealer's range; raising 2x maximizes expected value.

T5s is not in the optimal 4x raising range; checking preserves the option to raise later if the board improves.

Two pair (tens and eights) on the flop is a strong hand; raising 2x maximizes expected value.

QTo is in the optimal 4x raising range (Q8o+).

Pocket Aces are a premium hand; raising 4x maximizes expected value.

No pair, no draw, and an Ace on board likely hits the dealer's qualifying range. Checking preserves the option to fold on the river if unimproved, saving 20 chips.

T7o is not in the optimal 4x range and is too weak for a 3x raise; checking allows us to evaluate the flop.

Pair of tens on the flop is strong enough to raise 2x, maximizing expected value.

78o is not in the optimal 4x raising range, so checking to see the flop for free is the best EV play.

Two pair (eights and sevens) is a strong made hand on the flop; raising 2x maximizes value against the dealer's range.

QJo is in the optimal 4x raising range (Q8o+) per the published preflop strategy.