Showdown Hold'em table

3c4s is far outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

I flopped two pair (threes and fours), which is a strong made hand against the dealer's pair-or-better qualification requirement. Raising 2x maximizes value while the dealer must still qualify and I have no need to slow-play.

T6s is below the published preflop raising threshold (no ace, pair, or qualifying suited/offsuit broadway combination), so checking avoids committing extra chips with a weak holding.

I have an open-ended straight draw (any A or 9 completes it) on the flop, which is a strong enough draw to raise 2x for value and protection.

J5s is below the published preflop 4x threshold, so raising would put too much at risk with a weak suited jack. Checking preserves the option to raise later if the flop improves my hand.

My hand is only a weak pair of 3s with a J kicker, and the board pair means the dealer always qualifies. Raising 2x would commit extra chips with poor equity, so I check to see the turn and river before deciding whether to raise or fold.

8s4s is well below the published preflop raising range, so checking avoids putting extra chips in with a weak, easily dominated hand.

With only 8-high and no pair or strong draw on a K-high flop, checking preserves the option to fold or raise on the river rather than committing an extra 2x ante with a weak hand.

The board pairs sevens, so the dealer always qualifies. My best hand is only a pair of sevens with an 8 kicker, and the dealer beats me with any higher kicker, any pair, trips, or two pair. Raising 1x has negative expected value compared to folding.

J9o is below the published optimal 4x raising threshold (JTo+ offsuit), so checking preserves the option to raise on the flop if the board improves my equity.

4s6s is below the published preflop raising range, so checking avoids putting extra chips in with a weak speculative hand.

I have middle pair with a gutshot straight draw, which is ahead of the dealer's random hand often enough to justify the 2x flop raise for value.

As4d contains an ace, which is in the published optimal preflop 4x raising range. Raising maximizes value with a hand that has strong high-card and ace-blocker equity against the dealer.

QTo is within the published optimal 4x raising range (Q8o+), so raising maximizes expected value preflop.

Td4d is a weak, off-suit-dominated hand that falls below the published optimal preflop raising range, so checking avoids increasing exposure with a low-equity holding.

I have top pair (tens) on the flop, which is ahead of most random dealer hands. Raising 2x maximizes value and charges any flush or straight draws.

K2o is below the published preflop raising threshold (K5o+ or K2s+), so checking avoids putting extra chips at risk with a weak offsuit king.

K-high with only a backdoor flush draw is too weak to raise for value on this flop; checking keeps the play bet at zero and preserves the option to fold or raise on the river if I improve.

With a pair of 3s and a K kicker on a paired board, the dealer must beat that with a higher kicker, two pair, trips, or better. The raise risks 10 more to win 20 when ahead, and the win probability is high enough to beat folding's -20 EV.

Ace-King suited is a premium preflop hand and falls within the published optimal 4x raising range (any ace). Raising maximizes value against the dealer's qualifying range.

KJs is a strong preflop hand and falls within the published optimal 4x raising range (K2s+), so raising maximizes expected value against the dealer.

Pocket queens are a premium preflop hand, well above the published 4x raising threshold, so raising maximizes value against the dealer.

KQo is a strong preflop hand and falls within the published optimal 4x raising range (K5o+), so raising maximizes value against the dealer.

8h3c is far outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With 8-high and no draw on an A-K-6 flop, raising 2x would risk extra chips with almost no chance to beat a qualifying dealer; checking keeps the hand alive to see if I improve before the river decision.

8-4 offsuit is far below the published preflop raising threshold, so checking avoids putting extra chips in with a weak hand.

My 8-4 offsuit missed this J-5-7 flop with no pair, no flush draw, and only a weak backdoor straight chance. Raising 2x would put extra chips at risk with a hand unlikely to beat a qualifying dealer, so I check and preserve the option to fold or raise on the river.

I have an 8-high straight (4-5-6-7-8), which beats all dealer pairs, two pairs, and trips. Only a flush or a 9 for a higher straight beats me, so raising 1x is clearly +EV.

Q8o is at the bottom of the published optimal 4x raising range (Q8o+), so raising maximizes expected value versus checking.

Q2s is below the published optimal preflop raising threshold, so I check and preserve the option to raise on the flop if the board improves my equity.

With Q-high and no pair, folding forfeits 20 chips, while raising 1x risks 10 more. The dealer fails to qualify about 42% of the time, and when they do I win or tie, making the raise less negative than folding.

J9s is within the published optimal preflop 4x raising range (J8s+), so raising maximizes expected value against the dealer.

J2o is well below the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

My hand is only a weak pair of sevens with a jack kicker, and the board pair means the dealer qualifies automatically. Raising 2x would risk 20 chips with negative expected value, so I check to see the turn and river and decide later with more information.

Q2o is well below the published preflop raising threshold (Q8o+), so checking avoids putting extra chips at risk with a weak offsuit hand.

Q-high with no pair on a paired board is too weak to raise for value, and checking preserves the option to fold the river if I do not improve.

Ace-high with an ace in hand is in the published optimal 4x raising range, so I maximize pressure while the dealer must still qualify.

J3 offsuit is outside the published optimal 4x raising range, so checking preserves chips and lets me see the flop before deciding on a later street.

J5o is below the published preflop raising threshold (J8s+/JTo+), so checking avoids putting extra chips in with a weak offsuit hand.

J3o is well outside the published optimal preflop raising range, so I check and preserve the option to raise on the flop if it improves.

Weak J-high with no pair or draw; checking preserves the option to fold on the river and avoids committing extra chips with a likely losing hand.

Pocket threes are a qualifying pair and fall within the published optimal 4x preflop raising range, so I maximize pressure while the dealer must still qualify with a pair or better.

8s5s is outside the published optimal preflop raising range, so checking avoids committing extra chips with a weak, unsuited-gapped holding.

Pocket fives are a small pair and fall within the published optimal 4x raising range (33+), so raising maximizes expected value against the dealer.

Q6o is below the published preflop raising threshold (Q8o+), so checking avoids putting extra chips at risk with a weak offsuit hand.

Q3 offsuit is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak hand.

Top pair with queens is ahead of most dealer hands on this flop, so raising 2x extracts value and is clearly +EV.