Showdown Hold'em table

4-5 suited-off is a weak preflop hand well below the 4x range (needs 33+, any ace, K2s+, etc.), so I check and keep the option to bet 2x on the flop, with the blind at risk either way.

Holding 4-5 with a board of T-7-A, I have only ace-high and a weak straight draw, so I'd rather see the river for free than risk 2x on the flop.

Pair of aces with T-8-7 kickers loses to most dealer holdings, since any K/Q/J/9, a third ace, or a pair of T/8/7 beats it. Winning is only about 15%, so raising costs more in expectation than folding's fixed loss of 20 chips.

Pocket queens are well above the published 4x threshold (33+ and any ace), so raising four times the ante is the optimal preflop play.

Ace-ten suited-offsuit is an any-ace hand that the published 4x preflop table says to raise, and the 4x play carries positive expected value against the dealer.

Pocket sevens is a pair in the published 4x preflop range (33+), and a pair is a strong starting hand against the dealer, so raising four times the ante is the optimal play.

Any ace is a 4x raise in the published preflop table for this ruleset, and A9o is well ahead of the dealer's qualifying range, so the expected value favors raising four times the ante.

4-3 offsuit is far below the published 4x raise range, so checking keeps the ante-at-risk low and lets me reassess on the flop, where I can still raise 2x or check and the river gives a 1x or fold decision.

My 4-3 offsuit has no pair and little straight or flush potential on an A-Q-J board, so I'll check and keep the option to fold on the river rather than invest 20 chips now.

I hold two pair, fours and threes with an ace kicker, which beats any single pair and loses only if the dealer makes two pair or better (roughly 13% of holdings), so raising 1x on the river has clearly positive expected value.

Ten-three offsuit is below the published 4x preflop threshold, so I check and keep the option to play later streets cheaply.

Pair of tens with a jack kicker is a solid made hand on this flop, and the dealer needs a pair or better to qualify, so betting 2x here is worth more than checking to a river decision.

Q5 offsuit is below the published 4x-raise range (Q6s+ or Q8o+), so checking preflop keeps the option to play later at lower risk.

With Q-high against a K-9 board I have only a king pair at best, and a 2x raise now has negative expected value. Checking keeps the option to decide on the river with all five cards visible.

I hold a pair of kings with ace-queen-nine kickers, which beats roughly 42% of dealer holdings and ties about 7%. Raising 1x gives an expected loss near -0.67 ante, versus -2 ante for folding, so raising is better.

Seven-ten suited is below the published 4x raise range (K2s+, Q6s+, J8s+, JTo and better), so checking keeps the option to raise 2x on the flop without risking 4x preflop.

With 7-high and T-J on a 4-3-J board I have only a Jack-high hand, too weak to bet 2x on the flop. I'll check and reassess on the river, where I can still raise 1x or fold.

My 7-T is only king-high on this board with no straight or pair, and the dealer qualifies about 64% of the time and then beats me, so raising 1x has a worse expected value (about -21.6 ante-units in chips terms, roughly -216 chips) than folding's sure loss of 20 chips.

5-4 offsuit is well below the published 4x range, so I check preflop and keep the option to decide on the flop without risking extra chips now.

A pair of fives with a four kicker against a Ten-high board is a weak made hand, and the dealer qualifies about 43% of the time, so I'll check and keep the option to fold on the river rather than add 2x to the risk.

I hold a straight, 2-3-4-5-6, using the board's 2s, 3d, 5d and 6c with my 4c and 5s. That beats nearly every dealer holding that can qualify, so a 1x river raise has positive expectation.

Five-ten offsuit is well below the published 4x preflop range, so checking keeps the option to decide again on the flop without risking the extra play bet preflop.

A pair of tens with a queen kicker is marginal, so I'll keep the cheaper option and decide on the river with all five cards, where raise_1x or fold can be chosen more accurately.

I hold two pair (tens and fives, king kicker) on the river, which beats most dealer holdings since the board has no pair, so calling the 1x river bet has positive expectation.

K2s is in the published optimal 4x preflop raise range (K2s+), so raising four times the ante has the best expected value here.

8-2 suited is below the published 4x opening range, so checking keeps the ante at risk low and leaves the option to reconsider on the flop.

Eight-high with a 2-8 offsuit-style weak draw on a 7-T-3 board is well below the flop raise threshold, so I check and keep the option to fold to a river decision.

The dealer always qualifies on this board, since the threes pair is shared. My pair of threes with an eight kicker beats the dealer only about 8-9% of the time, so raising 1x has worse expected value (about -24 chips) than folding (-20 chips).

Seven-two offsuit is far below the 4x and 3x raise thresholds, so I check and keep the option to act on the flop or river, which is better than folding and losing the ante and blind now.

With 2-7 against J-9-5 I have only a weak high card and no draw worth a 2x raise, so I check and keep the option to decide on the river.

Folding loses 20 chips for sure, while calling costs 30 only on a loss; I have a pair of fives with J-9-8 kickers, and the board pair means the dealer always qualifies. Raising has higher expected value than folding even with a modest win chance.

8-6 offsuit is below the published 4x opening range, so I check and keep the option to raise 2x on the flop rather than risk four times the ante preflop.

I hold 8-6 with a 7-high-card straight draw and no pair, which is too weak to justify doubling the flop bet against a dealer who qualifies with any pair. I'll check and reassess on the river.

The board already pairs the 7s, so the dealer qualifies, and my pair of 7s with J-8-6 kickers beats most dealer holdings. Calling the river bet is slightly better than folding the ante and blind.

3-8 offsuit is far below the 4x opening range, so I check preflop to keep the hand cheap and see the flop before committing more chips.

I hold a pair of sevens with a nine kicker, which is a decent but not dominant made hand, so I'll check and keep the river raise-or-fold decision open for a cheaper look at the full board.

I hold a pair of sevens with A-K-9 on board, and the dealer always qualifies on the board pair, so I can only tie or lose at showdown. Folding loses 20 chips for certain, while raising 1x loses about 30 chips roughly 80% of the time, so folding has the better expected value.

Ace-seven offsuit is an any-ace hand that the published optimal table says to play at 4x preflop.

K7 suited falls within the published optimal 4x preflop range (K2s+), so raising four times the ante is the reference play.

3-9 offsuit is far below the preflop 4x range, so I check and keep the option to act on the flop.

The board already pairs sixes and the dealer will qualify, so my pair of sixes with a king-high kicker is only a marginal showdown hand. I'll check and decide on the river rather than risk 2x on the flop.

I hold two pair (sixes and threes, king kicker), which beats a dealer's single pair of sixes. Roughly half of dealer holdings fail to improve, so calling the river bet is worth more than folding and losing the ante and blind.

6-5 suited is below the published 4x preflop range, so I check and keep the option to raise 2x on the flop.

I hold 6-5 with a board of 9-9-K, so I have only a pair of nines with a weak kicker and no real draw. The dealer already qualifies on the board pair, so checking keeps my risk low and leaves a cheaper river decision.

Folding loses the ante and blind for a sure -20 chips, while calling costs 10 more but wins about 35% of the time, for roughly -12.5 chips expected, so raising is better.

Seven-deuce suited is far too weak to raise preflop, so I check to keep the option to continue on the flop or river at lower risk.

A pair of sevens with a king-high board is too weak to bet 2x on the flop, so I check and keep the option to decide on the river.

I have a pair of sevens with a King-Jack-eight kicker, which should win often enough against the dealer that calling beats folding the ante and blind, since folding locks in a sure loss of 20 chips.

King-three offsuit is below the published 4x preflop range (K5o+), so checking keeps the option to continue on later streets with less at risk.

K-3 with no pair on an 8-2-4 board is too weak to justify a 2x flop raise. Checking keeps the option to fold or make a river decision at lower risk.

I have only King-high with no straight. Folding loses the ante and blind for certain, while raising wins the play bet when the dealer fails to qualify, which is roughly a 25-30% chance. Raising has slightly better expected value than folding.

Jack-deuce offsuit is below the published 4x preflop range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking keeps the option to play on the flop at 2x.

My J-high has no pair against a board that already gives the dealer a pair of sixes, so raising 2x on the flop has negative expected value. Checking keeps the option to fold on the river at no cost.

The board already pairs the sixes, so the dealer always qualifies, and my pair of sixes with K-J-8 wins only about 20% of the time. That gives raising a slightly better expected value than folding, which loses the 20 chips in ante and blind for certain.

Queen-six offsuit falls outside the published 4x preflop raising range (Q6s+ or Q8o+), so checking is the standard play and keeps the option to raise 2x on the flop.

Q-6 on a J-K-3 board is only queen-high with no made pair, and a 2x raise risks too much on a weak hand. Checking keeps the option to fold or raise 1x on the river after seeing all five cards.

A pair of queens with K-J-9 kickers beats most dealer holdings that qualify, and the dealer fails to qualify on many runouts, so the expected value of the river raise is positive despite the blind risk.

3-5 offsuit is far below the 4x raise threshold, so checking keeps the hand alive for a cheap flop decision without risking extra chips preflop.

Our 3-5 has no pair and only draw potential (straight and flush draws), so raising 2x on the flop is too costly. Checking keeps the option to fold on the river for a smaller loss.

I hold a pair of fives with an ace kicker, which beats any dealer high-card hand that fails to qualify. Folding loses the ante and blind for certain, while raising has a better expected value (roughly -13 chips versus -20).

Q6 offsuit falls outside the published 4x preflop range (Q8o+), so checking keeps the hand alive for the flop and river decisions without risking the 4x raise.

Qh6c on a 9-9-5 board is only a pair of nines with a queen kicker, and the dealer already has a qualifying pair from the board. Raising 2x here needs about 57% to break even and I estimate my win chance is closer to 50%, so checking keeps the option to decide on the river.

We have only a pair of nines with K-Q-6, and the dealer's board pair means they always qualify, but roughly 22% of dealer holdings lose to us. Calling 1x has about -19 chips expected value versus -20 for folding, so calling is slightly better.

J7 offsuit is below the published 4x raise threshold, so checking keeps the option to decide again on the flop at lower risk.

Jack-high with a 7 on a 5-Q-9 flop is too weak to justify a 2x raise. Checking keeps the decision for the river, where I can fold if the board stays unhelpful.

Folding loses the ante and blind for a certain -20 chips. Raising wins about 26% of the time (dealer needs a pair of Queens with a higher kicker or two pair to beat my Queens-and-Jack), giving an expected value near -16, which is better than folding.

86 offsuit is far below the 4x or 3x preflop raise thresholds, so checking keeps the hand alive for a possible flop decision without risking extra chips preflop.

With 8-6 high and no pair on a K-T-4 board, the hand is too weak to justify a 2x flop raise, so I check and reassess on the river.

With only a pair of fours, I win only if the dealer fails to qualify (about 52% of holdings) or holds a pair below fours. Raising gives an expected net of about -9 chips versus -20 for folding, so raising 1x is better.

Ace-nine suited is an any-ace hand in the published optimal 4x preflop table, so raising four times the ante has positive expectation against the dealer.

T4 offsuit is well below the preflop raising range, and folding is not legal here, so checking is the cheapest option. It keeps the ante and blind at risk without adding a play bet, and I can still reassess on the flop and river.

I hold two pair, tens and fours with a nine kicker, which should beat the dealer's qualifying hands most of the time, so raising 2x on the flop has positive expected value.