Showdown Hold'em table

Kc 2h is offsuit and below the K5o threshold for a 4x raise preflop, so checking is optimal.

Holding bottom pair with a king kicker on an ace-high board does not have sufficient equity to justify a 2x flop raise, so checking to see the runout is standard.

Holding Kc-2h on an Ac-Jd-5s-5h-2c board gives us two pair (Fives and Twos with an Ace kicker), easily beating all of dealer's unpaired hands.

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

94o does not meet the standard preflop raise threshold, so checking to see the flop is optimal.

With only nine-high and three cards to a straight, this hand has very little equity and is a clear check to see the turn for free.

The board pairs threes so the dealer always qualifies, and with only a pair of threes and a ten-nine kicker, our win rate is far below the threshold needed to justify a 1x river call.

J8o falls below the standard preflop 4x raising threshold (which requires J8s+ or JTo), so checking to see the flop is optimal.

With an open-ended straight draw and Jack-high, checking is optimal to see the turn and river for free rather than committing a 2x raise with draw equity below showdown thresholds.

Made a jack-high straight (J-T-9-8-7), which easily has positive expected value to bet 1x on the river.

T2s does not meet the standard preflop 4x raise threshold, so checking to see the flop is optimal.

With only ten-high and no pair or significant draw on a J-7-6 flop, checking is clearly superior to raising 2x.

The board has a pair of Jacks, guaranteeing the dealer qualifies. With only a Ten kicker and no pair of our own, we lose to any Ace, King, Queen, pocket pair, board pair, or straight, giving us far less than the 20% win equity needed to justify a 1x raise.

Pocket fives fall within the optimal preflop 4x raising range (pair of 3s or higher).

King-nine offsuit meets the optimal preflop 4x raising threshold of K5o or better.

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

With middle pair and a weak 4 kicker on an ace-high board, checking is optimal to see the turn and river for free before committing more chips.

Holding a pair of tens on the river easily beats all non-qualifying dealer hands and weaker pairs, making a 1x raise clearly higher EV than folding.

J7s falls just below the standard preflop 4x raising threshold of J8s+, so checking to see a flop is optimal.

With only Jack-high and no strong draw on an Ace-high board, checking is clearly higher EV than committing a 2x raise.

Holding two pair, Jacks and Sixes with an Ace kicker, we beat the majority of the dealer's possible holdings on this paired board.

98o is below the preflop 4x raising threshold (pairs 33+, Ax, K5o+, Q8o+, JTo), so checking to see the flop is optimal.

With only nine-high and weak backdoor draws on an ace-high flop, we have negligible equity and should check to see the turn and river for free.

With only nine-high kickers on an ace-high board, we lose to virtually every dealer holding and have virtually no showdown value.

3-2 offsuit is one of the weakest starting hands and well outside the standard 4x raising range, so checking to see the flop for free is optimal.

Bottom pair with a three kicker is too weak to commit a 2x raise on the flop; checking preserves equity to see the turn and river.

With a pair of deuces, we beat all non-qualifying dealer hands. Because the dealer fails to qualify often enough on an unpaired board, raising 1x easily yields higher expected value than folding.

T8o does not meet the preflop 4x raising threshold, so checking to see the flop is optimal.

We have an open-ended straight draw, which has solid equity but is best played as a free card via check rather than putting 2x ante at risk on the flop.

I hold an ace-high straight (Broadway) using the ten of spades, and the dealer can only beat me with two diamonds for a flush, which occurs less than 4% of the time.

Standard preflop strategy dictates a 4x raise with any Ace, including A2o.

T9o falls outside the optimal preflop 4x raising range, so checking to see the flop for free is the mathematically sound play.

With only ten-high and weak backdoor potential on a Kh-6h-4s board, checking allows us to see the turn and river without committing extra chips.

We have a pair of tens (second pair on board), which comfortably beats random dealer unpaired holdings and lower pairs, making raise_1x clearly higher EV than folding.

Q6 offsuit is below the standard 4x raising threshold of Q8o+ or Q6s+, so checking preflop is optimal.

With queen-high and no significant draw on a King-high board, checking is clearly optimal to see the remaining cards for free.

Holding only King-high on a board with no pair, the dealer qualifies with a pair or better the vast majority of the time, and any qualified or Ace-high hand beats us. Folding saves the 1x play bet compared to a heavily negative EV raise.

Ace-Jack offsuit falls well within the standard optimal 4x preflop raising range, which includes any Ace.

J8 offsuit does not meet the preflop 4x raising threshold (which requires J8s+ or JTo+), so checking to see the flop is optimal.

We have Jack-high with no pair, straight draw, or club on a monotone board, making check the clear play.

With only an uncoordinated J-high on a four-club board, our showdown equity is negligible against the dealer's distribution.

K4s is well within the optimal 4x raising range of K2s+, maximizing positive expectation preflop.

J6o is below the standard 4x preflop raising threshold (J8s+, JTo), so checking to see the flop is optimal.

I have top pair of sixes with a Jack kicker on a 6-5-4 flop, which is a standard 2x raise on the flop.

KQ offsuit falls well within the standard preflop 4x raising range (K5o+, Q8o+), offering positive expected value.

Holding 6d 2h offsuit does not meet the preflop 4x raise threshold, so checking to see the flop is optimal.

With six-high and no significant draw on a King-Jack-Three rainbow board, checking to see the remaining cards for free is clearly superior to committing a 2x raise.

We hold an uncoordinated six-high kicker on an ace-high board with straight possibilities. Dealer will qualify and beat us in the overwhelming majority of runouts, making a fold clearly superior to risking an additional bet.

KTo is well within the standard preflop 4x raising range (K5o+).

QTo falls comfortably within the standard preflop 4x raising range (Q8o+), providing positive expectation against the dealer's random holding.

Pocket sixes fall well within the standard preflop 4x raising range of pocket threes or better.

43o is far below the standard preflop 4x raising range, so checking to see the flop is optimal.

With only a gutshot straight draw and no pair or flush draw on a K-Q-5 board, checking is optimal to see the remaining cards for free.

With two pair (fives and fours with a king kicker) against a board paired with fives, we beat all dealer unpaired hands (which only have a single pair of fives from the board), winning well over 50% of showdowns.

K2o is below the threshold of K5o+ for a preflop 4x raise, making check the optimal play.

Holding King-high with an inside straight draw to the broadway straight, the equity is insufficient for a 2x flop bet, so checking to see the remaining cards for free is optimal.

With an Ace on board, when the dealer fails to qualify their high card is almost always worse than our King kicker. The expected value of raising 1x exceeds folding.

92s does not meet the preflop 4x raising threshold (33+, Ax, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking to see the flop is standard.

We have middle pair with the lowest possible kicker on a coordinated board (Td-9c-7d), making checking superior to committing a 2x raise.

The board has a Jack-high straight, so we tie unless the dealer holds a Queen, making raise_1x much better than folding.

Holding 86o is well below the standard preflop raising threshold (which requires at least JTo, Q8o, K5o, any Ace, or 33+), so checking to see the flop is optimal.

Checking middle pair with a weak eight kicker to see the turn and river before committing additional chips.

Holding a pair of sixes gives us a winning showdown whenever the dealer fails to qualify, making a 1x raise clearly higher EV than folding.

5s 4d is far below the preflop 4x raising threshold, so checking to see the flop for free has higher expected value.

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

Playing the board (trip sevens with K-T kickers), we can never win and only tie when the dealer holds unpaired low cards (9 or lower, excluding 7). With 289 ties out of 990 possible dealer holdings (29.2% chop rate), the EV of raising is -21.24 chips, making folding (-20 chips) the higher EV decision.

Pocket fours are within the optimal preflop 4x raising range of pair of 3s or better.