Showdown Hold'em table

J6o does not meet the preflop 4x raising threshold (J8s+ or JTo), so checking to see the flop is optimal.

With J-high and only a gutshot straight draw plus backdoor flush draw on 3d-9s-5s, checking to see the turn and river for free has much higher EV than raising 2x.

The board already contains a pair of 9s, so the dealer always qualifies. With only a Jack-high kicker, our win rate is approximately 13%, well below the 20% break-even threshold needed to justify a 1x river raise over folding.

Ace-King suited is a premier starting hand well within the standard optimal 4x preflop raise range.

J4s does not meet the standard preflop 4x raising threshold of J8s+, so checking to see the flop is optimal.

Holding Jack-high with only an inside straight draw (needing a ten) is not strong enough to commit a 2x raise on the flop, so checking to see the remaining cards for free is optimal.

The board pair of sevens guarantees the dealer qualifies. With a Jack kicker to the board pair, we win 188 combos and tie 57 out of 990, making raise_1x (-18.8 chips EV) superior to folding (-20 chips EV).

Standard preflop strategy calls for a 4x raise with any ace, including A5o.

76 offsuit is well below the standard preflop 4x raising threshold, so checking to see the flop is optimal.

Flopping top pair gives sufficient equity against the dealer's random distribution to warrant a 2x raise.

J2o falls well below the preflop raising threshold (JTo+ or J8s+), so checking to see the flop is the standard optimal play.

With only Jack-high and no direct pair or made draw on a 4-9-T board, checking is the clear play to see the turn and river for free.

With only Ace-Jack high on an unpaired board, we cannot beat any qualifying dealer hand (pair or better), which occurs the vast majority of the time. Raising risks an extra bet with virtually no upside, so folding is the higher EV choice.

7-3 offsuit is well below the preflop raise threshold, so checking to see the flop for free is the optimal play.

With middle pair and an extremely weak kicker (3) on a K-7-2 flop, raising 2x has negative expectation compared to checking and seeing the turn and river for free.

Holding a pair of sevens on this board beats all dealer non-qualifying holdings, yielding a significantly higher expected value than folding.

76s is outside the standard preflop 4x raising range, so checking to see the flop is optimal.

Holding middle pair of sevens with a weak six kicker on a board of Ks-7c-4c does not have enough equity to justify a 2x flop raise; checking to see the turn and river for free is the standard optimal play.

A pair of sevens comfortably beats all non-qualifying dealer hands, making a 1x raise clearly positive expectation compared to folding.

Standard preflop strategy dictates raising 4x with any Ace, including A5o.

K7o meets the optimal preflop 4x raising criteria (K5o+).

Holding 6h-5d offsuit does not meet the standard preflop raising threshold, so checking to see the flop for free is optimal.

Holding an open-ended straight draw with no pair or high cards, checking allows us to see both the turn and river for free before deciding on a 1x bet.

I hold a flush with the 6 of hearts on a four-flush board, giving me an Ace-Queen flush which beats all non-flush dealer hands and lower flushes.

J8o does not meet the preflop 4x raise threshold (which requires J8s+ or JTo+), so checking is optimal.

With only Jack-high and no pair or significant draw on a Kd-3d-2c board, checking to see the remaining cards for free is optimal.

With only Ace-high on a board with straight potential and multiple high cards, we cannot beat any qualifying dealer hand and rarely win against non-qualifying holdings. Folding preserves chips compared to risking an additional bet.

K9s is well above the standard preflop 4x raising threshold of K2s+.

87s falls below the standard 4x preflop raising threshold (33+, any Ax, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking to see the flop is optimal.

With only an inside straight draw (gutshot to a nine) and no pair or flush draw, checking is the optimal play to see the turn and river for free.

Holding 8-7 on an A-J-T-6-2 board gives only an 8-high kicker with no pair. The dealer qualifies with a pair or better over 80% of the time, making folding superior to risking an additional bet.

Holding an Ace is an automatic 4x raise preflop under standard optimal strategy.

J9o does not meet the preflop 4x raise threshold (which requires JTo+ or J8s+ for Jacks), so checking to see the flop is optimal.

With only jack-high and no pair or significant draw on a 7-5-3 flop, checking to see the remaining cards for free is optimal.

With only Jack-high on a connected board, our hand almost never beats the dealer's holding, making folding the higher expected value play over risking an additional bet.

63o is far below the threshold for a preflop 4x raise, so checking to see the flop is optimal.

We have middle pair with a weak kicker (pair of threes, six kicker); checking to see the remaining cards for free is standard.

I have three of a kind (threes) on a paired board, which beats all one-pair and two-pair hands, making a 1x raise clearly profitable over folding.

94o is well below the optimal preflop 4x/3x raising threshold, so checking is the correct play.

Holding an open-ended straight draw with nine-high, checking to see both turn and river cards for free provides much better EV than committing a 2x raise.

The board has a pair of threes, meaning the dealer qualifies on every holding. With only a nine kicker playing alongside the board pair, we beat virtually none of the dealer's holdings, making fold higher EV than raising.

J6o does not meet the preflop 4x raising threshold (JTo+ or J8s+), so checking to see the flop is optimal.

With only Jack-high and no pair or significant draw on a 9-5-3 board, checking to see the remaining community cards is optimal.

The board has two pair so the dealer automatically qualifies. Holding a Jack kicker gives enough win and tie equity against unpaired low holdings to make raising 1x higher expected value than forfeiting the ante and blind.

Pocket aces is the premier preflop holding, clearly warranting the maximum 4x raise.

T8s is outside the standard 4x raising range, so checking to see the flop is optimal.

Holding middle pair of eights along with a four-to-a-flush spade draw provides well above the equity threshold required for a 2x flop raise.

Offsuit 4-3 is far below the preflop raising threshold, so checking to see the flop for free is optimal.

With only 4-high on a paired board and no significant draw, checking to see the turn and river for free is optimal.

Our hole cards do not improve upon the board, meaning we can never win and only tie when the dealer holds unpaired low cards below 7. With a tie probability around 12%, raising loses an additional 10 chips far too often compared to folding.

KJo falls well within the standard preflop optimal 4x raising range (K5o+).

Holding AQo, any Ace qualifies for an optimal 4x preflop raise against the dealer.

JTo meets the standard preflop 4x raise threshold (JTo+, J8s+).

KQ offsuit easily satisfies the optimal preflop 4x raising threshold (K5o+ / Q8o+).

T6o is well below the preflop 4x raising threshold, making check the optimal play.

With ten-high and no pair or significant draw on an ace-queen flop, checking is the clear optimal choice.

Playing the board's pair of sevens with A-K-Q kickers, we tie any dealer holding that fails to pair or make a straight, giving an EV of around -14.8 chips compared to -20 on a fold.

54o does not meet the preflop 4x raising threshold, so checking to see the flop is standard.

With only a gutshot straight draw and no pair or high cards on an ace-high board, checking to see the remaining cards for free is optimal.

The board pairs sevens meaning the dealer always qualifies, and with only an eight-five kicker behind the board's ace and sevens, our win equity is well below the ~21% needed to justify a 1x raise.

Holding an Ace (Ad 4s) falls squarely into the standard optimal preflop 4x raising range.

J5s does not meet the standard preflop 4x raising threshold of J8s+, so checking to see the flop is optimal.

With only Jack-high and no pair or significant draw on a rainbow Qd-2c-7s board, checking to see the river for free is optimal.

On a double-paired board of QQ772, our Jack kicker gives us two pair Queens and Sevens with a Jack kicker. The dealer always qualifies, and we beat roughly 42% of dealer holdings and tie 9%, giving a raise EV of approximately -6.3 chips compared to -20 for folding.