Showdown Hold'em table

4c5s is below the optimal 4x raising range (33+, any ace, strong K/Q/J), so checking preserves the option to raise 2x on the flop or 1x on the river with more information.

With 5-4 on an A-T-7 board I have only weak straight and pair outs and little showdown value, so raising 2x is negative EV versus checking for free cards.

With only the board pair of aces and T-8-7 kickers, I can never beat the dealer and only tie with low unpaired dealer cards, so raising loses more on average than folding.

Pocket queens are well above the optimal 4x raising threshold (33+), giving strong equity against the dealer and maximizing value preflop.

Any ace is in the published optimal 4x preflop range, so raising 4x maximizes expected value.

Pocket sevens are in the published optimal 4x range (33+), so raising the maximum preflop maximizes expected value.

A9o is any ace, which is in the published optimal 4x preflop range, so raising 4x maximizes expected value.

4-3 offsuit is well below the optimal 4x raising range (33+, any ace, strong kings/queens/jacks), so checking preserves the option to raise later with more information.

Weak 4-high with only a runner-runner straight draw on an A-Q-J board; raising 2x has negative expected value, while checking is free and preserves the river option.

On the river I have two pair, 4s and 3s with an Ace kicker. Only better two pair, trips, or a K-T / 5-2 straight beat it, about 106 of 990 dealer holdings, so raising 1x has far higher expected value than folding and losing the ante and blind.

T3 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 flop or 1x/fold on river.

Second pair of tens with a weak kicker on a three-club board is too vulnerable to jacks, made flushes and club draws to commit 2x now; checking preserves the cheaper 1x river decision with full board information.

Two pair tens and threes beats a random dealer hand about 56% of the time despite the four-club board; many losing dealer hands qualify and many wins are unpaired, making the 1x raise clearly better than forfeiting ante and blind by folding.

Q5 offsuit is below the optimal 4x raising range of Q8o+, so checking preserves the option to raise later with more information.

Only the board pair of kings with a queen kicker and a weak backdoor diamond draw; this medium-strength hand is not strong enough to commit 2x on the flop, so check to realize equity cheaply and decide for 1x on the river.

With a pair of Kings and Ace-Queen kickers I win against about 42% of dealer holdings and tie about 7%, giving a raise EV of about -6.7 chips versus -20 for folding.

T7 suited is below the optimal 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.

With ten-high, no pair and no real draw on a J-4-3 board, equity versus a random dealer is too low to commit 2x; checking preserves the option to raise 1x only if the runout improves the hand.

With only king-high K-J-T-7, most dealer holdings make a qualifying pair or better that beats us; the few non-qualifying hands we beat do not offset the extra loss when qualified, so folding loses less than raising 1x.

5s4c offsuit is below the published 4x raising range (33+, any ace, strong K/Q/J), so checking preserves option to raise on flop or river with better information.

Flopped a hidden pair of fives with backdoor straight outs; this made hand has enough equity against a random dealer hand to commit the 2x flop raise rather than check.

T5 offsuit is below the optimal 4x raising range (33+, any ace, strong K/Q/J hands), so checking preserves optionality to raise 2x on a good flop or fold later.

I have second pair on the flop with a backdoor club draw, giving enough showdown equity against a random dealer hand to value-bet 2x rather than check and risk only 1x later.

K2 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 only a runner-runner spade draw has low showdown equity against a random dealer on Q-6-7; checking preserves the option to raise 1x on the river if improved or fold and lose only ante and blind.

I have a K-high flush on a paired board. Dealer only beats it with the ace of spades, a full house/quads, or a straight flush (about 74 of 990 holdings), and the board pair means the dealer always qualifies, so raising has far higher EV than folding.

8-2 suited is below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the option to raise later with more information.

With 8-high, only runner-runner diamond and pair outs, raising 2x is negative EV; checking is free and preserves optimal river decision.

Board pair of 3s with A-T-8 kickers wins only against unpaired low dealer cards below 8 (84 of 990 holdings, 45 ties), so raising 1x has EV about -24.4 chips versus -20 for folding.

2-7 offsuit is well below the optimal 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves the option to raise on the flop or river only if the board improves.

Weak 7-high with only backdoor flush/straight draws and low pair outs on a J-9-5 board; equity is too low to commit 2x, so take the free cards and decide on the river.

I only play the board pair of 5s with J-9-8 kickers, so I can never beat the dealer, only tie or lose. Tie probability is about 111/990, well below the 1/3 needed to justify risking another 10 chips versus folding.

8-6 offsuit is below the optimal 4x/3x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves option to raise 2x on flop or 1x/fold on river.

Weak 8-high with only a two-card straight draw and no pair or flush draw; raising 2x is negative EV versus checking to see the turn and river for free and deciding on the river.

Board pair of 7s gives me only J-8-6 kickers; dealer almost always has a higher kicker, board pair, trips or the 5-6 straight, winning far too often for a 1x raise to beat folding.

8-3 offsuit is well below the published 4x raising range of pairs 33+, any ace, and strong king/queen/jack holdings, so checking preserves the option to raise later only if the board improves.

Weak board pair with 8 kicker and only runner-runner draws is well below the ~57% equity needed for a 2x flop raise, especially as the paired board means the dealer always qualifies. Checking is free and preserves the option to raise 1x or fold on the river after seeing both remaining cards.

I play only the board pair of 7s with A-K-9 kickers, so I can never beat the dealer and can only tie when the dealer holds two unpaired cards 8 or lower; that tie chance is too low to justify risking another 10 chips versus folding.

Any ace is in the published optimal 4x preflop range, so A7 offsuit should raise the maximum to maximize expected value.

K7 offsuit meets the published optimal 4x threshold of K5o+, so raising the maximum preflop maximizes expected value.

9-3 offsuit is below the optimal 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves the option to raise 2x on a good flop or 1x/fold on the river.

Weak board-pair hand with 9 kicker, no flush or straight draw, and likely behind Ace/King/pair holdings. Checking preserves the option to fold cheaply on the river or raise 1x only if we improve.

Our two pair, sixes and threes, beats all dealer high-card and lower holdings; with the paired board the dealer always qualifies, and the win/tie frequency makes calling 1x far better in EV than forfeiting the ante and blind by folding.

6c5h is 65 offsuit, well below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves option to raise later or fold cheaply.

With 6-5 on a paired 9-9-K board I have only board pair with weak kickers and no real draw, so checking to see the turn and river cheaply is better than raising 2x.

Player has only the board pair of 9s with K-Q-7 kickers and never beats a dealer hand; dealer ties with two unpaired cards 6 or lower (129/990) and wins otherwise, for an expected -26.1 chips versus -20 folding.

2s7s is below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the option to raise 2x on the flop or 1x on the river with more information.

Weak pair of 7s with a 2 kicker on a K-8-7 board is likely below 50% against a random dealer after the turn and river, so committing 2x now has negative value versus checking and using the river fold/1x option.

Pair of 7s beats all dealer high-card and lower-pair holdings, about half of the 990 dealer combinations, with some ties against a lone 7. Expected loss from raising 1x is far smaller than the certain loss of ante and blind from folding.

K3 offsuit is below the optimal 4x threshold of K5o+ or K2s+, so checking preserves the option to raise 2x on a favorable flop or 1x on the river.

King-high with no pair, no flush draw and only backdoor straight potential is too weak to commit 2x on the flop; checking preserves the cheaper 1x river decision with full board information.

With only king-high on the river, I beat only lower high-card dealer hands; any pair or better, ace-high, or most king-high kickers beat me. Exact enumeration gives about -20.4 chips for raising 1x versus -20 for folding.

J2 offsuit is below the optimal 4x preflop range (J8s+ or JTo), so checking preserves the option to raise later with more information.

With only jack-high on a paired 6-6-8 two-club board and no draw, raising 2x has negative expectation versus a random dealer hand; checking preserves the cheaper 1x river decision after seeing the full board.

On the paired 6c 8c 6s 3c Kd board my pair of sixes with K-J kickers beats dealer holdings made of two unpaired low non-club cards below a jack, about 205 wins and 41 ties out of 990. That win/tie rate makes the 1x raise slightly higher EV than folding and losing the ante and blind.

Q6 offsuit is below the optimal 4x raising range of Q6s+ or Q8o+, so checking preserves the option to raise 2x on a favorable flop.

Q-high with no pair and no meaningful draw on a K-J-3 board has negative showdown value for a 2x raise; checking is free and preserves the option to fold or raise 1x on the river if I improve.

Pair of Queens beats many dealer holdings (ace-high, lower pairs and single lower board pairs) and ties some Qx; exact river enumeration gives raising a much higher EV than folding and losing ante plus blind.

3s5d offsuit is well below the optimal 4x raising range of 33+, any ace, and strong king/queen/jack hands, so checking preserves optionality for flop and river decisions.

With only 8-high, a backdoor flush draw and an 8-out straight draw using the 5, I am an underdog to a random dealer hand; checking preserves the option to raise 1x only if the straight hits by the river and fold otherwise.

River pair of 5s beats only 229 of 990 dealer holdings, ties 14, and loses 747; raising 1x has EV about -20.2 chips versus -20 for folding.

Q6 offsuit is below the optimal 4x raising range (Q6s+ or Q8o+), so checking preserves the option to raise 2x on a favorable flop or 1x/fold on the river.

Q-high on a paired 9-9-5 board is only a marginal kicker hand with no real draw, so it does not justify a 2x flop raise. Checking preserves the cheaper 1x river decision after seeing the full board.

Board pair means dealer always qualifies. With pair of 9s, K-Q-6 kickers, I win about 313 of 990 dealer holdings and tie 8, giving raise EV about -1.40 antes versus -2 antes for folding.

J7 offsuit is below the optimal 4x raising 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, only a two-card straight draw and two hearts is too weak to commit 2x on the flop; checking preserves the option to raise 1x or fold on the river after seeing the full board.

Pair of queens with J-9-7 kickers wins against about 256 of 990 dealer holdings and ties 9, for an EV of about -16.8 chips versus -20 for folding, so raising 1x is better than folding.

8c6d offsuit is well below the optimal 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves the option to raise 2x on a good flop or 1x/fold on the river.

With 8c6d on TcKh4h I have only king-high with no pair, flush draw, or meaningful straight draw, so raising 2x is negative EV. Checking is free and preserves the option to fold or raise 1x on the river if I improve.

We only play the board pair of 4s with K-T-9 kickers, so we can never beat the dealer and can at best tie. Ties occur only with two unpaired low dealer cards, about 201 of 990 holdings, making raising EV about -23.9 chips versus -20 for folding.

A9 offsuit is any ace, which is in the published optimal 4x preflop range, maximizing expected value versus checking.

T4 offsuit is below the optimal 4x raising range (33+, any ace, K5o+, Q8o+, JTo etc.), so checking preserves the option to raise 2x on a good flop or 1x/fold on the river.

Two pair tens and fours on the flop has high equity against a random dealer hand, well above the threshold to commit 2x now rather than check and only raise 1x on the river.