Showdown Hold'em table

Eight-six offsuit is below the published 4x preflop range, so I check and keep the option to act on the flop or river.

A pair of sixes on this flop is too weak to justify the 2x flop raise, so I check and keep the option to decide on the river.

I have two pair, tens and sixes with a nine kicker, which beats most dealer holdings. A river raise of 1x is clearly positive expectation.

3d Kc is offsuit K3, below the published 4x threshold (K5o or better), so checking keeps the option to raise 2x on the flop without risking a 4x bet on a weak hand.

I hold two pair, kings and eights, which should beat most dealer hands since the dealer already has at least a pair of eights on board. Raising 2x now maximizes value while I am the clear favorite.

Any ace is in the published optimal 4x preflop range, and A-7s is a playable suited-ace hand with good showdown equity against the dealer.

T4 offsuit is below the published 4x preflop range, so checking keeps the ante and blind at risk low and leaves the flop option open.

Th4s has no pair and only weak draws on this board, so I keep the risk low by checking and deciding on the river whether to continue.

I hold a pair of fours with Q-T-7 kickers, and folding locks in a certain loss of the ante and blind. Raising 1x has a negative but better expected value, since the dealer qualifies and beats a pair of fours only some of the time.

Ace-trash is an 'any ace' hand in the published optimal 4x preflop table, so raising four times the ante is the recommended play.

8-5 offunsuited is below the 4x preflop range, so checking keeps the hand alive for a possible flop raise without risking a 4x play bet on a weak holding.

I hold 8-5 with no pair and only a weak straight draw on a T-K-J board, so betting 2x into the house is poor value. Checking keeps the decision open for a river raise_1x or fold, with the dealer needing a pair to qualify.

I hold a pair of eights with a king kicker, and the dealer fails to qualify about 42% of the time, where I win the play bet. Calling expects roughly -7 chips against -20 for folding, so I raise.

2-T suited is below the published 4x preflop range (JTo, J8s+, Q6s+ are the lowest qualifiers), so checking keeps the hand alive for a possible flop raise without risking the full 4x here.

My hand is only ace-high (A-K-J-T-2 with no straight draw), so raising 2x would put 20 more chips at risk with poor equity. Checking is free and keeps the option to fold on the river, or to bet 1x if the river improves my hand.

I hold two pair (aces and tens, king kicker) on a paired board, and the dealer beats me only with an ace, king, queen, or a pair of tens, about 37% of holdings. Calling the river 1x has positive expected value compared with folding and losing the ante and blind.

T9s is below the published 4x preflop range, so checking keeps the hand alive for the flop decision at lower risk.

A pair of nines with a ten kicker is a strong flop holding against a dealer who needs at least a pair, so betting 2x has positive expected value here.

2-8 suited is below the published 4x preflop range, so checking keeps the option to raise 2x on the flop without risking extra chips preflop.

I hold 2-8 with only a king high card on a K-4-9 board and no real draw, so raising 2x on the flop adds risk without a strong winning chance. I'll check and keep the option to fold on the river unless I improve.

Ace-high with no pair; the dealer qualifies about 60% of the time and usually beats this hand, so calling the 1x river raise has slightly negative EV (about -2.07 ante units) versus folding at -2.

Pocket nines are well above the published 4x preflop raise range (33+), so raising four times the ante maximizes expected value.

7-4 offsuit is too weak to raise preflop, but checking keeps the hand alive at no extra cost, and I can still fold on the flop or river for the same loss as folding now.

7-4 with a T-5-2 board is nothing but a weak draw, so raising 2x on the flop is not justified. Checking keeps the option to fold on the river if the board stays unhelpful.

Board already has three 2s, so my 7-4 is only trips with T-7 kickers, and the dealer always has at least trips. The dealer beats me with quads, a full house, or any higher kicker, so my win chance is well under the roughly 20% needed for a river raise to beat folding.

Ace-six offsuit is in the published optimal 4x range (any ace), so raising four times the ante is the +EV play over checking.

Ace-jack offsuit is an any-ace hand that the published optimal preflop table says to play at 4x. Chat is off, so no table message.

Q4 offsuit is below the published 4x preflop range (Q8o+), so checking to see the flop is the lower-risk choice.

Pair of queens with an ace on the board is a strong flop holding against the dealer, so the 2x play bet is worth making now rather than checking.

Pocket sixes are a clear 4x preflop raise under the published strategy table (pairs 33 and up), so I'm raising four times the ante.

3c Jh is below the published 4x preflop threshold (J8s+ or JTo), so I check and keep the option to raise 2x on the flop.

Board already gives a pair of tens, so my J kicker makes a playable hand, but it's not strong enough to justify a 2x flop raise. Checking keeps the option to fold a bad river for less risk.

I hold two pair, tens and sevens with a jack kicker, which beats most dealer holdings. Only pairs of eights or better, or any hand pairing a seven or ten, beat me, so calling the river 1x has clearly positive expectation.

9-6 suited is below the published 4x preflop range, so checking keeps the option to act on the flop at lower risk.

I hold a pair of sixes with a nine kicker and a clubs draw on the flop, which is a playable made hand against a dealer who qualifies only about three-quarters of the time, so a 2x raise is reasonable.

Two-three offsuit is far below the published 4x or 3x preflop thresholds, so I check and keep the option to play later streets cheaply.

I hold a pair of threes with an open-ended straight draw (6 or A completes it), which is strong enough to play for a 2x raise on the flop rather than giving up equity by checking.

K8 suited falls in the published optimal 4x preflop range (K2s+), so raising four times the ante has positive expected value.

Q4 offsuit is below the published preflop 4x range (Q8o+), so checking to see the flop is the better play; raising 3x or 4x here would risk more chips with a weak hand.

Q-high with a three-diamond flush draw is too weak to justify a 2x play bet on the flop. Checking keeps the option to fold or make a river decision cheaply.

I hold only Q-high with no pair on a paired-free board, so a dealer pair (about 60% of holdings) beats me, and I win only in a small share of the dealer no-pair cases. Raising 10 more chips has negative expected value, so I fold.

J9 offsuit is below the published 4x preflop range, so raising 3x or 4x risks more than this hand is worth. Checking keeps the option to continue on the flop at 2x.

A pair of jacks on the flop with some straight-draw potential is a strong enough hand to bet 2x against the dealer's qualifying range, and the dealer must hold a pair or better to qualify, so value is in betting now.

J7 offsuit is below the published 4x preflop range (J8s+ and JTo are the lowest jacks), so checking keeps the option to decide on the flop without risking a 4x raise on a weak hand.

I hold J-7 offsuit with only an ace-high board pair-free result, which is too weak to bet 2x on the flop. Checking keeps the option to fold or make a 1x river decision for less risk.

My hand is ace-high with no pair, and the dealer only pays my play bet when they fail to qualify, so folding costs the ante and blind for certain. A rough enumeration suggests calling the 1x river raise loses slightly less in expectation than folding.

Q7 offsuit falls below the published 4x preflop range (Q8o+), so checking keeps the option to raise 2x on the flop instead of risking 4x preflop.

A pair of sevens with a queen kicker is a modest hand on a king-high board, so I'll keep the 2x exposure low and check to keep the river 1x option open once all five cards are visible.

I hold a pair of sevens with a king-queen-eight kicker, which beats many dealer hands that fail to qualify or hold weaker pairs. Folding forfeits the ante and blind for certain, so raising the river bet has the better expected value.

Two-four offsuit is far below the 4x preflop range, so I check and keep the option to decide on the flop instead of raising preflop or folding.

Our 2-4 with this board is only high-card J with a weak three-heart draw, so a 2x flop raise is poor value. Checking keeps the option to fold on the river without adding chips at risk.

My best hand is a pair of threes with a J-8-5 kicker, which the board already makes, so the dealer beats or ties me on almost every runout. Folding loses 20 chips, while calling a river raise would lose about 30.

King-Jack offsuit clears the published 4x preflop range (K5o+ and J8s+ or JTo), so a four-times-ante raise has positive expected value.

Ace-king offsuit is a strong hand that clears the published 4x preflop threshold (any ace), so raising four times the ante is the highest-EV play.

Q3 offsuit is below the published 4x range, and fold isn't a legal preflop option, so I check to see the flop and keep the option to raise 2x later.

I hold two pair (queens and eights) on the flop, which beats most dealer hands that qualify, so raising 2x now is the strongest play.

J5o is below the published 4x preflop range, so I'm checking to keep the option of a 2x raise on the flop without risking 4x on a weak hand.

A pair of jacks with a ten and nine on board is strong enough to beat most dealer hands that qualify, so betting 2x on the flop has positive expected value over checking.

A2s is an ace hand that clears the published optimal 4x preflop table (any ace), so raising four times the ante has positive expected value against the dealer.

Deuce-five offsuit is far below the published 4x preflop range, so checking keeps the hand cheap and leaves the option to continue on the flop.

Ace-high with a 2-3-5-6 gutshot is too weak to justify a 2x raise on the flop. Checking keeps the hand alive for one river decision at no extra cost.

I hold only a pair of threes with A-K-6 kickers, and the dealer beats me or ties on most holdings, so I win only about 3% of the time. Folding loses the ante and blind (-20 chips), while raising costs an expected ~-27 chips.