Showdown Hold'em table

J5 offsuit is below the published optimal preflop 4x range (JTo and J8s+ are the lowest jacks), so checking keeps the option to raise 2x on the flop at a lower risk.

Two pair (jacks and fives) on the flop is strong against a dealer who only qualifies with a pair or better, so betting 2x now maximizes expected value.

Five-nine offsuit is too weak to open for 4x or 3x preflop, so I check and keep the option to raise 2x on the flop if it connects.

Five-nine offsuit has only high-card J and no real draw on this J-7-4 flop, so I'll check and keep the decision for the river.

On the river I hold two pair, jacks and nines, which beats most dealer holdings, and a dealer hand that qualifies needs trips, a straight, or a better two pair to beat me. Raising 1x has positive expectation.

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

K8 offsuit clears the published optimal 4x preflop range (K5o+), so raising four times the ante is the +EV play over checking.

J8 offsuit is outside the published 4x preflop range (J8s+ or JTo only), so checking keeps the option to raise 2x on the flop without risking 4x on a marginal hand.

Pair of jacks on the flop is a strong made hand that usually beats the dealer's qualifying holdings, so raising 2x is the better expected-value play over checking.

Six-eight offsuit is below the published 4x preflop range, so I check and keep the option to raise 2x on the flop.

Six-eight unsuited with a nine-high-card board is a weak holding that only has a gutshot straight draw, so I keep the flop bet small and check, saving the river decision for a better read.

I hold a king-high straight (8-9-T-J-K) on the river, which beats almost every dealer holding; the dealer only beats me with a queen, about 17% of the time, so raising 1x has positive expected value.

A pocket pair of 3s meets the published optimal 4x preflop threshold (33+), so raising four times the ante is the standard play.

Ace-seven offsuit is any ace, which the published optimal preflop table says to play with a 4x raise. Table message stays empty since chat is off.

K6 offsuit is inside the published optimal 4x preflop range (K5o+), so raising four times the ante is the standard play.

QJo is a borderline hand; the published 4x table covers Q8o+ and JTo, so Q-J offsuit is within the raise range for a 4x preflop bet.

King-five suited (K5s) falls inside the published optimal 4x range (K2s+), so raising four times the ante is the standard play.

Queen-deuce offsuit is below the published 4x preflop range, so I check and keep the option to raise 2x on the flop.

Q-high with a 2 on a K-T-7 board is too weak to justify the 2x flop raise, so I check and keep the option to decide on the river.

I hold only king-high (K-Q-T-7-5) on the river. Raising 1x risks an extra 10 chips and wins only about 14.5% of the time, for an expected net of roughly -21.7 chips versus -20 for folding, so folding is slightly better.

82 offsuit is below the 4x and 3x preflop thresholds, so checking keeps the hand alive for a cheaper flop or river decision rather than risking a raise on weak cards.

I hold 8-2 of diamonds on a Q-5-J board with only a three-diamond flush draw and no pair, which is too weak to raise 2x on the flop. Checking keeps the hand cheap and lets me decide on the river with all five cards.

Our hand is Q-high with no pair, and the dealer qualifies with a pair or better about 60% of the time, which beats us. Calling 10 more chips has negative expectation versus folding, which costs only the ante and blind already posted.

Seven-ten offsuit is below the published optimal 4x playing range, so checking keeps the ante at risk minimal and leaves a later flop decision.

Seven-high-ish with only a gutshot to a straight and no pair, so betting 2x on the flop risks too much; checking keeps the option to fold or make a river decision cheaply.

With a pair of tens and no straight possible, I expect to beat the dealer often enough that calling the river bet has a much better expected value than folding and losing the ante and blind.

Queen-five suited falls below the published 4x preflop range (Q6s+), so checking keeps the ante and blind at risk low while I see the flop.

A pair of fives with an ace-high kicker is marginal against a dealer who qualifies with any pair or better on this A-T-5 board. Checking keeps the option to fold on a bad river instead of committing 2x now.

I hold a pair of fives with Q kicker, which beats any non-qualifying dealer and many dealer hands. Estimated raise EV is about -6 chips versus -20 for folding, so raising is better.

7-8 offsuit is below the published 4x preflop range (33+, any ace, K2s+, Q6s+, J8s+), so checking keeps the option to act on the flop without putting extra chips at risk now.

A pair of eights on the flop is strong enough to bet 2x, since it beats most dealer hands that qualify. Checking would only delay a decision I can make now with a clear edge.

4-J offsuit is below the published 4x preflop range, so I check and keep the option to play on the flop with 2x or fold later, avoiding a weak 4x bet.

Jack-high with a weak 4-J holding on a 3-6-T flop has little equity against a dealer who needs only a pair, so I keep the option to fold on the river rather than raising 2x now.

I hold only a pair of threes with a Jack kicker, and the dealer always qualifies with the board pair and wins about 83% of runouts, so calling the 1x river raise has lower expected value than folding and losing the ante and blind.

K6 suited is in the published optimal 4x range (K2s+), so raising four times the ante has the best expected value here.

A pocket pair of fives is in the published 4x range (33+), so raising four times the ante is the standard play with this hand.

K3s falls inside the published optimal 4x range (K2s+), so raising four times the ante is the standard play preflop.

2-4 suited is far below the published 4x raise range, so I check to keep the option of a cheaper flop or river decision without risking extra chips preflop.

A pair of fours with a weak kicker is marginal against a dealer who qualifies with any pair, so I keep the option to fold on the river rather than adding a 2x flop bet now.

I hold two pair (fives and fours, ace kicker) and the dealer always qualifies on the board pair of fives. Raising 1x has roughly 55% win odds for about -2 expected chips, versus a guaranteed -20 for folding.

J5 suited is below the published 4x preflop range (J8s+ minimum), so I check and keep the option to raise 2x on the flop.

My hand is only Jack-high with no pair or real draw on this King-high board, so betting 2x on the flop is too costly. Checking keeps the hand cheap and lets me decide on the river whether a 1x raise or fold is better.

I hold a pair of jacks with ace-king-ten kickers, which beats most dealer hands on this board. Folding forfeits the ante and blind for certain, while raising 1x has positive expected value.

King-six offsuit falls within the published optimal 4x preflop range (K5o+), so raising four times the ante is the recommended play.

T3 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 lower risk.

T-3 with a 6-4-2 board is weak, with only a gutshot to a straight, so raising 2x now risks too much. Checking is free and keeps the option to fold or make a 1x river raise.

I hold a six-high straight (2-3-4-5-6) on the river, which beats any dealer pair, two pair, trips, or flush, and only a dealer straight with a 7 or 8 in hand beats it. Raising 1x has clearly positive expected value.

Q7 offsuit is below the published 4x preflop range (Q8o+ is the minimum for Q-x offsuit), so checking to see the flop and retain the option of a 2x raise is the better choice.

Q-high with a four-heart flush draw is a weak hand against a dealer who almost always qualifies on the paired 2s board. Checking keeps the cost down and lets me decide on the river with the full board.

We hold a pair of 2s with Q-J-7 kickers, and the dealer always qualifies on the board pair. Calling wins about half the time, well above the roughly 20% break-even against folding's -20 chips, so raising 1x on the river has positive expectation.

Ace-six offsuit is an ace hand, which the published optimal 4x preflop table says to raise, and the dealer must qualify with a pair or better for the ante to pay.

Five-deuce offsuit is far below the raise range for 4x or 3x, so I check and keep the option to raise 2x on the flop if the board helps.

Five-two with a 7-8-9 board is only a one-card straight draw needing a 6, so raising 2x here is too much risk. Checking keeps the option to decide on the river with all five cards.

I hold a pair of 2s, which beats any dealer hand that fails to qualify, and the dealer fails to qualify roughly 44% of the time. Raising has a better expected value (about -12 chips) than folding, which always loses the ante and blind (-20 chips).

A pocket pair of sixes is above the published 4x threshold (33+), so raising four times the ante is the expected-value play preflop.

9-2 offsuit is outside the published 4x preflop range, so checking keeps the option to continue later at lower risk. Raising 4x or 3x with this hand has negative expected value.

A pair of nines with an open-ended straight draw (6 or T) is strong enough against a random dealer hand to justify the 2x flop raise, and this is the last hand so only expected value matters.

2-Tc offsuit is below the published 4x preflop range, so checking keeps the option to raise 2x on the flop without risking the extra stake preflop.

My K-high with a T kicker is weak and only likely to win if the dealer misses, so I'll check and keep the option to fold on the river rather than commit a 2x play bet now.

Dealer always qualifies on this board, and my queen pair with king kicker should win about 29% of the time, so raising about -15.5 chips in expectation beats folding's certain -20.