Showdown Hold'em table

7s 3c is well below the standard preflop 4x raising threshold, making check the mathematically optimal play.

With seven-high and no pair or significant draw on a board of Kd-Ts-6c, checking is clearly optimal to see the turn and river for free.

Holding King-high with a seven kicker, we cannot beat any qualifying dealer hand and lose to many non-qualifying hands, making a fold clearly higher EV than risking an extra bet.

62o does not meet the preflop 4x raising threshold, so checking to see the flop is optimal.

Bottom pair with a weak kicker does not have enough equity to justify a 2x raise on the flop, so checking to see the full runout for free is optimal.

Holding a pair of twos gives showdown value against all non-qualifying dealer hands, which occur frequently enough on this uncoordinated board to make the 1x river bet positive expectation over folding.

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

Holding 5-high with only a gutshot straight draw and no overcards, the hand lacks sufficient equity to justify a 2x raise on the flop. Checking to see the turn and river for free is optimal.

Playing the board's pair of eights with an ace-queen kicker gives zero chance to beat the dealer and only about a 13% chance to chop, making a fold (-20 chips) higher EV than calling (-26.1 chips).

K9s is well above the threshold of K2s+ for raising 4x preflop under standard optimal strategy.

73s does not meet the preflop raising threshold (which requires J8s+, Q6s+, K2s+, any ace, or 33+), so checking to see the flop is standard.

I hold seven-high with no made hand and only a backdoor flush draw, so checking to see the turn and river for free is optimal.

Playing the board pair of fours with AQ10 kickers gives zero chance to beat the dealer. With only about 27% tie probability, raising loses ~21.9 chips compared to losing 20 chips by folding.

QJo meets the optimal preflop 4x raising threshold (Q8o+), maximizing expected value.

52o does not meet the standard preflop 4x raise threshold, so checking to see the flop is optimal.

With only a gutshot straight draw on an A-K-3 flop, checking to see the remaining cards for free is standard optimal play.

With only an Ace-high and a weak 5 kicker against a coordinated broadway board, the dealer will qualify or outkick us almost every time, making a fold significantly higher EV than risking another bet.

Pocket sevens fall well within the standard preflop 4x raising range (pair of 3s or higher).

6d 2d does not meet the preflop raising threshold (requires pairs 33+, Ax, K2s+, Q6s+, or J8s+), so checking is optimal.

The board pairs Kings so the dealer automatically qualifies, and our 7-6 kicker is extremely weak. Checking to see the turn and river for free is optimal.

Our hand is just the board of trip Kings with 9-7 kickers, meaning we can never beat the dealer. Since the dealer qualifies on the board and ties only ~12% of the time, folding (-20 chips) is strictly better than raising (-26.4 chips EV).

64o is well below the preflop 4x raising threshold, so checking to see a free flop is standard optimal play.

With only six-high and no significant draw on a T-8-3 rainbow board, checking to see the turn and river for free is the standard optimal play.

Holding a pair of fours beats all dealer non-qualifying hands, which occur over 40% of the time and pay on the play bet, making the 1x raise clearly profitable over folding.

T7o is well below the standard preflop 4x raising threshold (which requires JTo or better among unsuited connectors/one-gappers, and no Ten-high hands qualify), so checking to see the flop is optimal.

With ten-high and no direct draw on a Queen-Jack board, checking is clearly superior to putting more chips at risk.

Holding a pair of sevens against an A-Q-J-7-2 board wins against all non-qualifying dealer hands plus lower pairs, making a 1x raise clearly profitable over folding.

King-Jack suited easily meets the preflop 4x raising threshold (K2s+).

42o is not within the standard preflop 4x raising range, so checking to see the flop is standard.

Holding middle pair of fours along with a gutshot wheel draw provides strong showdown value and redraw potential against the dealer's random holding, justifying a 2x flop raise.

J4o is below the standard preflop raising threshold (JTo / J8s+), so checking is optimal.

With only Jack-high and no direct draw on a Kc-Ts-8s board, checking to see the turn is standard.

Holding only King-high with a Jack kicker on the river provides insufficient equity against random dealer holdings, making a fold mathematically superior to risking an additional bet.

In Ultimate Texas Hold'em, any Ace is a standard preflop 4x raise under optimal strategy.

7s6s does not meet the standard optimal preflop 4x raising criteria (which requires pairs 33+, any Ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, or JTo), so checking to see the flop is optimal.

We have a four-flush with low hole cards (7s-6s) and no pair, which lacks sufficient showdown value or flush strength to justify a 2x raise here. Checking allows us to see the turn and river for free.

I completed a King-high spade flush, which easily beats the vast majority of the dealer's distribution and merits a clear value bet on the river.

K6s is well within the optimal 4x raising range (K2s+), offering sufficient equity to bet the maximum preflop.

Holding 6-4 offsuit does not meet any preflop raising threshold in Ultimate Texas Hold'em, making a check optimal.

With only a board pair of fives and no made hand or strong draw, checking to see the turn and river for free is optimal.

Playing the board pair of fives with A-K-J kickers, the dealer ties whenever holding two unpaired cards from 2 through 10 (excluding pairs). This occurs in roughly 39.7% of runouts, yielding an EV of -18.1 chips compared to -20 for folding.

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

With 7-high and no made hand or draw on a Qd-Kh-9s board, checking to see the remaining cards for free is optimal.

Playing the board with KKQJ9, we cannot beat the dealer and tie only when the dealer has no pair, ace, ten, or board match (~29.2% of runouts), which is below the 33.3% threshold needed to justify a 1x raise.

Ah Jc qualifies easily for an optimal 4x preflop raise, as all Ace-x holdings have positive expected value to raise 4x.

KJo meets the standard preflop 4x raising criteria (K5o+), maximizing positive EV against the house dealer.

62o is well outside the optimal 4x raising range, so checking to see the flop for free is the standard play.

Holding 6-high with no made hand and no backdoor draws on an Ace-high board, checking is clearly standard to see the turn and river for free.

Two pair (sixes and deuces) beats all single-pair hands, giving well over the necessary equity to bet the 1x play bet on the river.

92o is well below the standard 4x raising threshold, so checking to see the flop is optimal.

With only nine-high and negligible draw equity on a king-jack board, checking to see the remaining cards for free is standard.

With only King-high and no pair or draw, the dealer qualifies far too often and easily beats this holding, making a fold higher EV than raising.

King-nine suited falls well within the standard preflop 4x raising range (K2s+).

J7o does not meet the published optimal 4x raising threshold of JTo or J8s+, so checking is optimal.

With only Jack-high and no significant draw on a 4d-9c-3s board, checking to see the remaining cards for free is optimal.

With only Jack-high on a board of K-9-8-4-3, we have very little showdown value even against the dealer's non-qualifying holdings, making fold higher EV than raise_1x.

J6s is below the standard preflop 4x raising threshold of J8s+, so checking to see the flop is optimal.

Holding jack-high with no made pair or strong draw on an eight-paired board, checking is clearly superior to raising 2x.

We hold two pair, Jacks and Eights, which easily surpasses the minimum showdown value needed to call the 1x play bet on the river.

Q2s is below the standard preflop 4x raising threshold (Q6s+), so checking to see the flop is optimal.

Holding Queen-high with only a backdoor flush draw on a paired board does not meet the threshold for a 2x flop raise; checking is standard.

Holding two pair (Jacks and Twos) on a paired board beats all unimproved dealer hands (one pair of Jacks), giving well over 55% equity against the dealer's range.

97o is not in the standard preflop 4x raising range, so checking to see the flop for free is the optimal play.

With only nine-high and three to a straight, we have no made hand and insufficient draw equity to justify a 2x raise. Checking to see the turn and river for free is optimal.

Holding second pair (pair of nines) on the river is comfortably above the threshold to bet 1x against the dealer rather than conceding the ante and blind.

Pocket fours are within the optimal 4x raising range (33+), maximizing expected value preflop.

64s does not meet the standard preflop 4x raise threshold, so checking to see the flop is optimal.

We flop two pair (nines and sixes) on a paired board, which is well ahead of the dealer's random range.