Showdown Hold'em table

Ace-high with an offsuit ace falls within the published optimal 4x raising range, so I maximize pressure with the strongest legal preflop raise.

32s is below the published optimal preflop raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves chips and lets me evaluate a favorable flop.

Weak hand with no pair or draw; checking preserves option to fold on river and avoids risking additional chips.

My best hand is only ace-high (A K Q T 8) with no pair, straight, or flush. The dealer will either qualify or beat me with any 9, so raising 1x has negative expected value; folding limits the loss to the posted ante and blind.

Ace-seven offsuit falls under the published optimal 4x raise range because it contains an ace and has enough high-card equity against the dealer.

According to the published optimal preflop table, any ace is a 4x raise. Ad4c qualifies, so raising maximizes expected value.

Pocket eights meet the published optimal preflop 4x threshold (33+), so raising maximizes value with a strong starting pair.

AsTc is an unsuited ace, which is in the published optimal preflop 4x raising range; raising maximizes value against the dealer's qualifying range.

9-3 offsuit is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

I flopped a pair of nines, which is a made hand and likely ahead of many dealer holdings. Raising 2x applies pressure and builds value before the board runs out.

7h2c is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With 7h2c on a K-J-8 flop, I have no pair, no straight draw, and minimal equity; checking preserves chips and avoids a 2x raise with a very weak hand.

My 7-high kicker with the board pair of 8s is almost always beaten; the dealer always qualifies here, so raising 1x risks 30 chips to win only when the dealer holds no higher kicker than 7, which is too rare to justify the extra risk over folding.

A2o is within the published optimal 4x raising range because any ace qualifies, so raising maximizes expected value preflop.

T5o is below the published preflop raising threshold, so I check and preserve the option to raise later if the flop improves my hand.

I flopped two pair (tens and fives), which is well ahead of the dealer's qualifying threshold and strong enough to raise for value on the flop.

K6o meets the published optimal preflop 4x threshold (K5o+), so raising maximizes expected value with a playable king-high holding.

T9o is below the published optimal 4x raising range (no pair, ace, or the required K/Q/J thresholds), so checking preserves chips and gives a chance to improve on later streets.

I flopped two pair (tens and nines) on an A-T-9 board, which is strong enough to raise for value against the dealer's qualifying range.

JTo is included in the published optimal preflop 4x raising range, so raising maximizes expected value against the house dealer.

8s2d is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

With 8-2 offsuit on a K-J-9 flop, I have no pair, no real draw, and little chance to beat a qualifying dealer hand. Checking keeps the play bet at zero and preserves the option to fold later if the board does not improve.

With bottom pair, the dealer fails to qualify about 42% of the time; raising 1x has higher EV than folding (-11.9 vs -20 chips).

5-2 offsuit is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

My hand is only a weak pair of fours with a five kicker, and the dealer will almost always have a better kicker or pair. Checking costs nothing and lets me see the turn and river before deciding whether to raise or fold.

I have two pair (4s and 2s) with a Q kicker. The board's pair of 4s means the dealer always qualifies, but my hand beats any unpaired dealer hand that doesn't contain a Q, 8, 2, or 4. Raising risks 10 to win 20 or lose 30, while folding loses 20 outright, so raising has a much better expected value.

63o is far outside the published optimal preflop raising range, so I check and avoid committing extra chips with a weak offsuit hand.

My 6-high hand has almost no showdown value against a dealer who qualifies with a pair or better, so I avoid committing an extra 2x raise and will reassess on the river.

I have a T-high straight (6-7-8-9-T) using the 6d with the board. The dealer only beats me with a J for a higher straight, so raising 1x is clearly profitable versus folding.

Ace-three offsuit falls under the published optimal 4x preflop raising range because it contains an ace, so raising maximizes expected value versus checking.

Ks6s is a suited king, which falls within the published optimal 4x raising range (K2s+), so raising maximizes expected value preflop.

9h6h is below the published optimal preflop raising range, so checking avoids putting extra chips in with a weak, dominated holding.

The board is paired aces and my 9-high kicker is weak; raising 2x risks too much when the dealer likely has a better kicker or two pair. I will check and reassess on the river.

My best hand is just the board's pair of aces with a weak 9 kicker, and the four-diamond board gives the dealer many ways to beat me with a flush, higher kicker, or two pair. Folding loses only the posted ante and blind instead of risking another 10 chips as a likely loser.

QhTc is QTo offsuit, which meets the published optimal preflop 4x threshold of Q8o+; raising maximizes expected value with a playable broadway offsuit hand.

Pocket kings are a premium preflop hand and clearly fall within the published optimal 4x raising range, so maximizing the play bet gives the best expected value.

K9o is within the published optimal 4x preflop raising range (K5o+), so raising maximizes expected value.

Td9d is outside the published preflop raising range, so I check to see a flop and preserve the option to raise later only if the board improves my equity.

I flopped two pair (tens and nines), which is strong enough to raise for value against the dealer's qualifying pair-or-better range.

T5o is well below the published optimal 4x raising threshold, so I check preflop and keep the hand cheap.

I have two pair (tens and eights) on the flop, which is ahead of most dealer holdings and benefits from the 2x raise before the board can worsen.

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

Pocket aces is the strongest preflop hand; raising 4x maximizes value against the dealer's qualifying range.

Q6o is below the published 4x threshold (Q8o+), so I check preflop and preserve chips rather than raise into a likely weak holding.

Q6 offsuit missed an ace-high flop with no pair and only a weak backdoor straight/club chance, so raising 2x would put extra chips in as a likely underdog; checking preserves the option to fold or raise on the river depending on improvement.

I have a club flush (8c-7c-6c-5c-3c), which is a strong made hand on the river. Raising 1x is clearly better than folding, since the play bet and blind have strong positive expectation when I beat the dealer.

T7o is below the published preflop raising threshold, so checking avoids putting extra chips at risk with a weak offsuit hand.

I have top pair with tens on the flop, and optimal Casino Hold'em strategy is to raise 2x with any pair or better to charge draws and build value.

87o is below the published optimal preflop raising threshold, so checking avoids putting extra money in with a weak offsuit hand.

I flopped two pair with 7s8c on a Js8s7h board, a strong made hand against the dealer's qualifying range. Raising 2x maximizes value while I am likely ahead.

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