Showdown Hold'em table

86o is well below the standard 4x preflop raising threshold, so checking to see the flop is optimal.

Holding bottom pair with a gutshot straight draw on a wet board does not have sufficient equity to warrant a 2x raise; checking allows us to see the turn and river for free.

Player holds two pair (Tens and Sixes), which comfortably beats dealer hands that only play the board's pair of Tens and well exceeds the ~21% win equity required to bet 1x on the river.

K3o does not meet the standard preflop 4x raising threshold of K5o+, so checking to see the flop is optimal.

Holding two pair (Kings and Eights) with top pair on the flop gives strong showdown value against a random dealer hand, making raise_2x clearly positive EV.

Standard preflop strategy calls for a 4x raise with any ace, including A7o.

T4o is well below the optimal 4x preflop raising range, so checking to see the flop is standard.

With only ten-high and weak backdoor equity on a queen-high board, checking is the correct play.

We have a pair of fours, which easily beats any non-qualifying dealer hand and wins the play bet, easily justifying the 1x raise over folding.

Any Ace is in the optimal preflop 4x raising range.

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

With eight-high and only an inside straight draw on a very coordinated board, checking to see the river for free is optimal.

We hold a pair of eights, which beats all dealer non-qualifying hands, lower pocket pairs, and pairs of sevens, making raising 1x significantly higher EV than folding.

T2s does not meet the preflop 4x raising threshold, so checking to see the flop for free is optimal.

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

With a board of Kh-Jc-Ad-As-Th and our 2s-Ts, we have two pair (Aces and Tens with a King kicker), beating all dealer holdings with cards 9 or lower as well as lower pocket pairs, making raising 1x clearly superior to folding.

Ten-nine offsuit is not within the optimal preflop 4x raising range, so checking to see the flop is standard.

I hold top pair of nines on a 7-2-9 rainbow board, which easily meets the standard threshold to commit a 2x play bet on the flop.

82s does not meet the preflop 4x raising criteria (which requires J8s+ among suited cards with an eight or higher high card, or any ace/king/suited queen Q6s+). Checking to see the flop is standard.

Holding eight-high with no pair and no significant draw on a Kd-4d-9h flop, checking to see the turn and river for free is optimal.

With only an eight-kicker to the high board cards, we lose to almost every dealer holding including most non-qualifying hands. Folding loses 20 chips compared to an expected loss near 30 chips by calling.

Pocket nines easily meets the preflop 4x raising threshold, which includes all pocket pairs 33 and higher.

74o is well below the standard preflop 4x raising threshold, so checking to see the flop is optimal.

With seven-high, no made pair, and no immediate draw on a Ts-2c-5c board, checking is clearly optimal to see the remaining cards for free.

The board provides trips so the dealer automatically qualifies, and my seven kicker only beats a minuscule fraction of dealer holdings, making a fold higher EV than calling.

Standard preflop strategy dictates a 4x raise with any Ace, including A6o.

Holding Ace-Jack offsuit meets the standard preflop 4x raising threshold (any Ace), maximizing expected value against the house dealer.

Q4o falls well below the standard preflop raising threshold of Q8o+ or Q6s+, so checking to see the flop is optimal.

Pair of Queens on an Ace-high flop has substantial equity against a random dealer hand, making the 2x flop raise clearly positive EV.

Pocket sixes fall well within the standard optimal 4x preflop raising range (pair of 3s or better).

J3o is well below the standard 4x preflop raising threshold (which starts at JTo or J8s+ for jacks), so checking is optimal.

With only Jack-high on a paired board of 7d-Td-Tc and no significant draw, checking to see the turn and river for free is optimal.

The board shows two pair Tens and Sevens, giving me TT77J. Since the dealer qualifies on any board two pair, my Jack kicker beats all unpaired low holdings (yielding over 31% wins and 7% ties), making raise_1x significantly higher EV (-12 chips) than folding (-20 chips).

96s falls outside the optimal preflop 4x raising range, so checking to see the flop is the correct EV play.

With middle pair of sixes and a nine kicker, our equity is marginal; checking allows us to see the turn and river for free before deciding on a 1x raise.

We hold a pair of sixes on a board of T-7-6-3-2, which beats all dealer unpaired hands and underpairs, easily exceeding the threshold to bet 1x.

32o is well outside the standard preflop 4x raising range, so checking to see the flop is optimal.

We have bottom pair along with an open-ended straight draw (eight outs to a straight), giving us substantial equity and blind bonus potential to justify a 2x flop raise.

K8s is well within the standard preflop 4x raising range (K2s+).

Qh 4d is below the standard preflop raising threshold of Q8o+, so checking is optimal.

With queen-high and only an inside straight draw, there is insufficient equity to justify a 2x raise on this flop; checking to see the remaining cards for free is optimal.

With only queen-high on a connected board and no showdown value, raising risks an additional bet against a dealer who qualifies frequently and holds better non-qualifying hands.

J9o is below the published optimal 4x raising threshold of JTo/J8s+, so checking to see the flop is optimal.

We flopped top pair of Jacks with a gutshot/backdoor straight potential, which is well above the threshold to make the 2x flop bet.

J7o does not meet the preflop 4x raise threshold (J8s+ or JTo), so checking is optimal.

Holding unmade Jack-high on an Ace-high flop with no direct draw, checking is clearly higher expectation than raising 2x.

Holding only Jack-high on an Ace-high board with no pair gives insufficient equity against the dealer's qualifying range, making a river call negative EV.

Q7o falls just below the standard preflop 4x raising threshold of Q8o+, so checking is optimal.

With bottom pair of sevens and a queen kicker on a K-8-7 board, our equity is not strong enough to warrant a 2x raise on the flop, so checking to see the remaining cards for free is optimal.

Holding a pair of sevens with a queen kicker beats all non-qualifying dealer hands as well as dealer pairs of sixes and fours, easily providing enough equity to make the 1x play bet.

42o is well below the standard 4x raising threshold in Ultimate Texas Hold'em, so checking to see the flop is optimal.

With four-high and minimal draw potential on a J-8-3 board, checking to see the remaining cards for free is optimal.

Our best hand is just the board (a pair of threes with J-8-5 kickers), meaning we can never beat the dealer and tie on fewer than 1% of holdings. Folding loses 20 chips instead of an expected loss of near 30 chips by calling.

King-Jack offsuit exceeds the standard threshold of K5o+ for an optimal 4x preflop raise.

Ace-King offsuit is a premium starting hand that comfortably meets the optimal 4x preflop raising threshold.

Q3o is well below the standard preflop raising threshold (Q8o+ or Q6s+), so checking to see the flop is optimal.

We have top pair with Queens on a paired flop, giving us two pair which is comfortably strong enough for a 2x raise.

J5o does not meet the preflop 4x raising threshold (which requires J8s+ or JTo+), so checking is optimal.

Top pair of Jacks on the flop provides sufficient equity against the dealer's random distribution to warrant a 2x raise.

Holding any ace suited qualifies for an optimal 4x preflop raise against the dealer.

52o is well outside the standard 4x preflop raising range, making check the clear optimal play to see the flop for free.

Holding a gutshot straight draw without a pair, equity is insufficient for a 2x flop raise, making check the standard play.

The board has a pair of threes with ace-king-six, meaning we can never beat the dealer and can at best tie if the dealer holds unpaired low cards below seven. A tie occurs only about 6% of the time, making folding for -20 chips clearly higher EV than raising for an expected loss of over 28 chips.