Showdown Hold'em table

J4 suited is below the optimal 4x range (J8s+ or JTo), so checking preserves the option to raise 2x on the flop or 1x on the river with more information.

Jack-high with no pair and no immediate flush or straight draw on 9-5-7 is too weak to commit 2x; checking preserves the cheaper 1x river decision if we improve.

King-high with a Jack kicker only beats dealer ace-high-or-worse non-qualifying holdings without a pair or a Six for a straight; most of the 990 dealer holdings qualify and win, making raising worse than losing the ante and blind by folding.

9s3c is offsuit and below the published 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves the option to raise 2x on the flop or 1x/fold on the river.

With 9-high, no pair, no flush draw and only a weak two-card straight draw, raising 2x has negative expected value versus a random dealer hand. Checking preserves the option to raise 1x on the river only if the hand improves.

Our Ten-high (T-9-8-7-4) beats only a few low non-paired dealer holdings, about 2% wins with rare ties, while most losses are to qualifying pairs or better, making a 1x raise negative EV versus folding.

K5 suited is in the published optimal 4x preflop range (K2s+), so raising 4x maximizes expected value versus checking.

JTs is suited and above the J8s+ threshold in the optimal preflop 4x table, so raising 4x maximizes expected value.

K4 offsuit is below the optimal 4x threshold of K5o+ (K2s+ suited), so checking preserves the option to raise 2x on the flop or 1x on the river with more information.

King-high with no pair and no meaningful flush or straight draw on an ace-high flop is too weak to commit 2x; checking preserves the cheaper 1x river option if I improve.

With two pair Aces and 3s and a King kicker, I beat many dealer holdings that play the board with a lower kicker; raising loses far less on average than folding the ante and blind.

5s3h is well below the optimal 4x raising range (33+, any ace, strong kings/queens/jacks), so checking preserves optionality to raise 2x on a favorable flop or fold later.

Two pair Aces and 5s beats dealer holdings with only an Ace pair or a lower pocket pair, winning about 55% with about 6% ties; raising loses far less on average than folding the ante and blind.

9s7d offsuit is below the published 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves option to raise 2x on flop or 1x/fold on river.

Flopped a pair of 7s on an A-7-3 board, giving a made hand with likely over 55% showdown equity against a random dealer hand, enough to leverage the 2x flop raise over checking.

J3 suited is below the optimal 4x threshold of J8s+ or JTo, so raising preflop is negative EV. Check to see the flop for free and decide later.

Bottom pair of 3s with a Jack kicker on a King-high board is only marginally ahead of random dealer holdings and has few outs against top pair. Checking preserves the option to raise 1x or fold on the river after seeing the full board, rather than committing 2x now.

Bottom pair beats all unpaired dealer holdings, about 426 of 990 combos; raising loses about 12.7 chips on average versus 20 chips for folding.

KQo meets the published optimal 4x preflop range for any king, so raising 4x maximizes expected value.

J6 offsuit is below the published 4x raising range (J8s+ or JTo), so checking to see the flop for a cheaper raise is higher EV than committing 3x or 4x preflop.

Middle pair of sixes with a jack kicker is only marginal against a random dealer hand, so the option to re-evaluate on the river with a smaller 1x raise is worth more than committing 2x now.

Two pair, sixes over twos with a jack kicker, beats most dealer holdings that only play the board pair; exact river equity is well above the fold threshold.

T9 offsuit is below the published 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves option value to raise 2x on a good flop or 1x/fold on the river.

With only the board pair of 7s and T-9 kickers, most dealer holdings beat us and the dealer always qualifies on this board. Checking is free and preserves the option to raise 1x on the river only if the runout improves us.

We have a full house, sevens full of nines. Against 990 dealer holdings we win 720, tie 79 with a matching nine, and lose only 191 to a seven, queen, or higher pocket pair, so raising has strongly positive EV versus folding.

J6 suited is below the published 4x threshold of J8s+, so raising preflop has negative expectation versus checking to see the flop.

With only board pair of queens and a jack kicker, current equity is low and the dealer always qualifies on this paired board. Checking preserves the option to raise 1x on the river only if the runout improves us, rather than committing 2x now.

Trip queens with K-J kickers win against unpaired dealer holdings below J (420/990), tie 93/990, and lose 477/990; raising EV is about -0.60 ante versus -2 ante for folding.

5c4d is well below the published 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves option to raise 2x on a good flop or fold later.

Weak pair of 5s with only a two-card straight draw is too vulnerable to raise 2x now; checking preserves the cheaper 1x river decision after seeing if we improve.

Two pair, fives over fours, beats most random dealer holdings on this paired board; exact enumeration gives about 639 wins, 4 ties and 347 losses, for positive showdown EV versus folding and losing 20 chips.

Pocket aces are in the published optimal 4x preflop range (33+ and any ace), maximizing value with the strongest starting hand.

AJ offsuit is any ace, which is in the published optimal 4x preflop raising range.

Q5 offsuit is below the optimal 4x raising range (Q6s+ or Q8o+), so checking preserves the option to raise 2x on the flop or 1x on the river with more information.

Queen-high on a king-high flop with only a backdoor club draw has weak equity versus a random dealer hand; checking preserves the option to raise 1x or fold on the river after seeing the full board.

On K-2-9-7-T we have K-Q high. Exact count vs 990 dealer hands: 188 wins, 45 ties, 116 non-qualifying losses and 641 qualifying losses, giving about -19.87 chips versus -20 for folding, so raising 1x is marginally better.

A7 offsuit is any ace, which is in the published optimal 4x preflop range, so raising 4x maximizes expected value.

8-2 offsuit is well below the optimal 4x raising range (33+, any ace, strong K/Q/J hands), so checking preserves the option to raise later or fold cheaply.

Top pair of eights on the 5-6-8 flop with a gutshot to the straight has sufficient showdown equity against a random dealer hand to commit the 2x flop raise rather than allowing free cards.

8-3 offsuit is well below the optimal 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so check to see the flop cheaply.

With 8-high and only a gutshot to a 4, raising 2x has negative showdown value against a dealer who never folds. Checking preserves the option to raise 1x on the river only if the hand improves.

On this paired board I only have pair of 2s with Q-8-6 kickers; dealer also plays the board pair and wins with any higher kicker, board match, or pocket pair, leaving only about 28 wins and 21 ties in 990 holdings, so raising 1x has worse EV than folding.

7-5 offsuit is below the optimal 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves option to raise 2x on a good flop or 1x/fold on the river.

Weak high-card hand with only two-card straight possibilities and no flush draw; raising 2x has negative expected value versus checking and playing optimally on the river.

Pair of 7s beats many dealer no-pair and lower-pair holdings; raising 1x has expected loss of about 5 chips versus losing 20 chips by folding.

Pocket 2s are below the optimal 4x raising range of 33+, so checking preserves optionality to raise 2x on a favorable flop or 1x/fold on the river.

Pocket twos are an underpair to the A-T-5 board with no club draw and only two set outs. Checking is free and preserves the option to raise 1x or fold on the river with full information, whereas raising 2x now risks extra chips while well behind most qualifying dealer hands.

My hand is just the board's aces and tens with a five kicker; any dealer card six or higher, ace, or ten improves on it, so I can only tie or lose and raising loses more than folding.

J6 suited is below the J8s+ threshold in the optimal 4x preflop table, so checking preserves optionality to raise 2x on a favorable flop or 1x/fold on the river.

Only a board pair of 2s with a Jack kicker and a backdoor club draw; many dealer overcards and pairs beat this, so committing 2x now is negative EV versus seeing the runout and deciding on the river.

On the river I have two pair, Jacks over Twos, which beats a lone board pair and most dealer holdings; the dealer always qualifies on the paired board, and my estimated win rate is well above the ~20% needed to raise rather than fold.

K3 offsuit is below the K5o+ threshold for a preflop 4x raise, so checking to see the flop is higher EV than raising.

Top pair of kings with a four-diamond flush draw on the flop is well ahead of a random dealer hand and gains value from a larger raise now rather than waiting for only 1x on the river.

T9 offsuit is below the published 4x threshold (JTo or better, any ace, etc.), so checking preserves option to raise 2x on a favorable flop or 1x/fold on the river.

T9 on Q-7-2 has only a gutshot draw and no pair, well below the equity needed to commit 2x on the flop. Checking preserves the cheaper 1x river decision with full information.

Pair of tens beats most dealer holdings on this board, with roughly 74% wins versus about 26% losses in exact river enumeration, making a 1x raise far better than folding and losing ante and blind.

KcJc is king-suited, well inside the published optimal 4x preflop range (K2s+), with strong equity against a random dealer hand.

T9 suited is below the published 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves option to raise 2x on a good flop or 1x/fold on the river.

T9 hearts on 7h-2c-3c is only ten-high with weak backdoor flush and straight draws. Checking preserves the free turn and river and the option to raise 1x only if improved, which has higher EV than committing 2x now.

Board is two pair 7s and 3s; my T kicker wins against dealer holdings with two unpaired low cards below T (about 201/990 wins, 66 ties). That makes raising 1x EV about -17.8 chips versus -20 for folding.

JcTc is jack-ten suited, which meets the published optimal 4x threshold of J8s+, so raising 4x preflop maximizes expected value.

J8 offsuit is below the optimal 4x raising range (J8s+ or JTo+), so checking to see the flop preserves EV.

Middle pair of 8s with a Jack kicker on a K-8-7 rainbow board is vulnerable to any king or overpair and has only backdoor straight improvement, so it is not strong enough to commit 2x on the flop; checking preserves the cheaper 1x river decision with full information.

Pair of 8s beats most random dealer holdings (unpaired, lower pairs); raising 1x has expected loss near 1 chip versus folding for -20 chips.

Q2 offsuit is below the optimal 4x raising range (Q8o+ / Q6s+), so checking preserves the option to raise 2x on a favorable flop or 1x/fold on the river.

Queen-high with no pair and no strong draw on the 4-8-6 flop has insufficient equity to commit 2x now; checking preserves the cheaper 1x river decision after seeing all cards.

With a board pair of 8s and K-Q kickers, raising loses only 10 more than folding when beaten but wins 20 or pushes on ties; enumeration gives about -15.2 ante chips versus -20 for folding.

QJ offsuit meets the published optimal 4x threshold (Q8o+), so raising 4x preflop maximizes expected value over checking.