Showdown Hold'em table

J6 offsuit is outside the published 4x preflop range (JTo and J8s+ are the minimum for jacks), so checking keeps the option to raise 2x on the flop without risking extra chips preflop.

Jack-high with a 6 and a gutshot-level draw on a 3-5-9 board is too weak to commit 2x on the flop, so I'll check and reassess on the river.

Pair of 9s with J kicker should win only about 12% against the dealer's 990 holdings, since the dealer always qualifies on the board pair. Raising risks 30 chips to win 20, an expected loss of about 24, versus a fold losing the 20 chips of ante and blind.

Ace-King suited is well above the published optimal 4x threshold (any ace is a 4x hand), so raising 4x is the correct play.

J4 offsuit is below the published preflop raise thresholds, so checking keeps the option to continue on the flop with a better-value decision.

Jack-high with only a gutshot to a straight is too weak to justify a 2x flop raise. Checking keeps the option to decide again on the river with all five cards.

Our best hand is a pair of sevens with Q-J-9 kickers, which beats many dealer holdings. Folding loses 20 chips for certain, while raising only needs a win rate above about 20% to be better, which seems likely here.

Any ace is in the published optimal 4x preflop range, and A5s is a strong suited ace with good playability and straight and flush potential.

Six-seven offsuit is below the published 4x preflop range, so I'll check and keep the option to raise 2x on the flop or check through without committing extra chips.

A pair of sixes with a seven kicker is medium strength on this board, and the dealer qualifies often, so checking keeps the option to bet 1x on the river with more information rather than committing 2x now.

I hold a pair of sixes with a King kicker, which beats most dealer hands and wins outright when the dealer fails to qualify. Raising 1x on the river has positive expected value, while folding loses the ante and blind for certain.

Jack-two offsuit is too weak for a 3x or 4x preflop raise, so checking keeps the hand cheap and preserves the option to raise 2x on the flop if it improves.

J-2 has no pair and only an open-ended straight draw on this board, so I'd rather keep the cost low and decide on the river than add 2x on the flop.

I hold only ace-high (A-T-J-9-6 with my jack), so I lose to any dealer pair and the dealer qualifies about 61% of the time. Raising is roughly break-even against folding, about -19.9 versus -20 chips, because the times the dealer fails to qualify are mostly wins for my ace-high.

Seven-three offsuit is well below the published 4x preflop range, so I check and keep the option to raise 2x on the flop if it improves.

A pair of sevens on the flop is a made hand that beats most random dealer holdings, and the dealer must qualify with a pair or better, so betting 2x is the value play.

6-7 suited is below the published 4x preflop range, so checking keeps the option to continue on the flop with a better read on the board.

I hold a pair of sevens with a six kicker and a possible straight draw on a 7-4-K board, which is strong enough to bet 2x on the flop against a dealer who qualifies with a pair or better.

Ace-five offsuit is an any-ace hand in the published optimal 4x preflop table, so raising four times the ante is the highest-EV play here.

K7 offsuit falls inside the published 4x preflop range (K5o+), so the reference table favors raising four times the ante over checking.

65 offsuit is below the 4x preflop range, so I check and keep the option of a 2x raise on the flop if it connects. Folding is not offered as a legal action here.

I hold an open-ended straight draw (4-5-6-7 needing a 3 or 8) plus a three-heart flush draw, but no made hand yet. Checking keeps the river raise_1x or fold option open, so I can bet only if the draw connects.

I hold an ace-high heart flush (Ah, Qh, 7h, 5h, 6h), which beats nearly every dealer hand that can qualify, and the blind pays 3:2 on a flush, so raising 1x on the river has strongly positive expected value.

8-J offsuit is below the published 4x preflop table (J8s+ and JTo only), so checking preserves the option to play on the flop instead of risking a 4x raise with a weak hand.

J-8 high on a K-3-2 board is too weak to put 2x more in on the flop, so I'll check and reassess on the river, folding unless the board improves my hand.

I hold only A-K-J-8-4 high, so I lose to any dealer pair, but the dealer fails to qualify about 40% of the time and then my high card often wins. Raising about -17 chips in expectation beats folding's sure -20.

K9 suited is inside the published optimal 4x range (K2s+), so raising four times the ante is the highest-expectation preflop play.

87 suited is below the published 4x preflop range (33+, any ace, K2s+, Q6s+, J8s+), so checking keeps the option to continue on the flop or river while limiting risk.

With 8-7 suited on a T-J-2 board I have only a gutshot to a straight and no flush draw, so this is too weak to raise 2x on the flop. I'll check and reassess on the river.

Ace-high with no made hand loses to any dealer pair, but about 40% of the time the dealer fails to qualify and I win the play bet. Raising at about -1.4 units beats folding's certain -2 units.

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

J9 offsuit is below the published 4x preflop range (J8s+ and JTo only), so checking keeps the option to play on the flop at 2x.

J-9 high with no pair on a 3-5-7 board is too weak to commit 2x on the flop. Checking keeps the option to fold on the river if I miss, while still seeing two more cards for straight outs.

Folding guarantees losing the ante and blind (-20), while raising to win the play bet when the dealer fails to qualify gives a better expectation (about -13 chips) despite a high-card J hand.

3-6 offsuit is far below the published 4x raise range, so checking keeps the ante and blind at risk minimal and preserves a later flop decision.

A pair of threes with a nine kicker is too weak to justify a 2x flop raise against a dealer who qualifies with any pair. Checking keeps the option to see the river and then decide between a 1x raise and a fold.

I hold three 3s with 9-6 kickers, which beats nearly every dealer hand that can qualify, so the river raise has strong positive expectation.

4-9 offsuit is too weak to justify a 4x or 3x preflop raise, so I check and keep the option to act on the flop.

Nine-high with no pair or real straight draw on a J-5-3 flop is too weak to bet 2x into a dealer who qualifies with any pair. Check and keep the option to fold on the river.

Our pair of 3s with J-9-5 kickers beats many dealer holdings, but folding guarantees losing the ante and blind (-2 units), while raising risks -3 units only on a loss and wins +2 units, so raising has the better expected value.

J6o is below the published 4x preflop threshold, so checking keeps the hand alive for a cheaper flop decision without risking a 4x raise on a weak holding.

With 6-J high and no pair or real draw on this flop, raising 2x is too risky, so I check and reassess on the river.

I hold two pair (fives and threes on the board) with a jack kicker, which beats any dealer hand without a higher pair, trips, or an A/K/Q kicker. Raising 1x is worth more than folding (expected about -1 unit vs -2) since I win often enough to clear the break-even around 20%.

Pocket aces are a strong preflop hand well above the 33+ threshold for the 4x raise, so raising 4x is the highest-EV play.

T8 suited is below the published 4x preflop range (J8s+ is the lowest suited jack-high), so checking keeps the hand in play for a possible flop raise without risking a 4x preflop bet.

With a pair of eights, an ace kicker and a four-spade flush draw, the hand is too marginal to raise 2x on the flop. Checking keeps the river option to bet 1x or fold once the last card is known.

I hold two pair (eights and deuces, ace kicker) on the river, and the dealer always qualifies with the board pair of deuces. Calling the 1x play bet wins about 55% of runouts, which beats folding and losing the ante and blind for sure.

3-4 offsuit is below the published 4x opening range, so checking preflop keeps the ante at risk minimal and preserves the option to continue after seeing the flop.

Board already pairs queens, so the dealer always qualifies with at least a pair of queens, and my 3-4 needs both a 5 and a 6 to make a straight that beats it. Checking keeps the risk low, and I can fold on the river if nothing improves.

The board already pairs queens, so the dealer always qualifies, and my QQ with an A-J-7 kicker loses to nearly every dealer holding (about 87%, with only ties from low hole cards). Folding costs 20 chips, while raising risks about 26 in expectation.

King-jack offsuit is a 4x raise in the published preflop table (K5o+ range), so I'm putting the full four-times ante in now.

Ace-queen suited-offsuit is an any-ace raise in the published optimal 4x preflop table, so raising four times the ante is the highest-EV play here.

JTo is inside the published optimal 4x preflop range (JTo is listed explicitly), so raising four times the ante is the standard play here.

Queen-King offsuit is above the published optimal 4x raise threshold (K5o+ and Q8o+), so raising four times the ante has the best expected value here.

6-T offsuit is below the published 4x preflop range, so checking keeps the option to play later streets at lower risk instead of putting 4x the ante in with a weak hand.

My A-Q-T-7-6 is only ace-high with no pair, too weak to justify a 2x flop raise against the dealer's possible pairs. Checking keeps the option to raise 1x on the river if the board improves my hand.

The dealer always has at least 7-7-A-K-Q from the board, so I can only tie or lose; my expected loss from calling about -15 chips beats folding's certain -20, since the dealer fails to improve roughly half the time and pushes.

Folding is not a legal option here, and 4-5 unsuited is well below the 4x preflop range, so checking keeps the hand alive for a cheaper flop decision.

Ace-high with a one-card straight draw (only a 6 completes it) is too weak to bet 2x on the flop, so I check to keep the free option of folding or calling later at the river.

I have only a pair of sevens with an ace kicker, and the dealer beats that with most holdings, so raising 1x risks 30 chips against about 20 to win. Folding loses the 20 chips already posted, which is the smaller expected loss.

Ace-four offsuit is an any-ace hand in the published optimal 4x preflop table, so raising four times the ante is the reference play for expected value.

J5s is below the published 4x preflop range (J8s+ is the cutoff), so checking keeps the option to continue on the flop or river without risking extra chips preflop.

Jack-high with no pair, no flush or straight draw on a Q-2-7 flop is too weak to risk a 2x raise. Check and keep the option to decide on the river.

I hold two pair, queens and sevens with a jack kicker, which beats many dealer hands since the dealer always qualifies on this board. Raising 1x has much better expected value than folding, which loses the ante and blind for certain.