Showdown Hold'em table

8h6d is a weak offsuit hand outside the recommended preflop raising range, so I check and preserve the option to raise later if the flop improves my equity.

Bottom pair with backdoor draws is marginal; checking allows me to see the turn and river and fold if I don't improve, avoiding a risky 2x raise against the dealer's qualifying range.

K3o is below the published optimal 4x threshold (K5o+), so raising would be -EV; checking keeps the hand alive with no additional risk and leaves the option to raise 2x on a favorable flop.

I have top pair with a king on a paired board, which is strong enough to raise for value against the dealer's qualifying range.

Ace-seven offsuit is in the published optimal 4x raising range (any ace), so raising maximizes expected value against the house dealer.

T4 offsuit is outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak hand.

With only T-high and no pair on a Q-high flop, raising 2x would put extra chips at risk with very little equity. Checking keeps the hand cheap and preserves the option to fold on the river if the board does not improve.

With a pair of fours, raising 1x is better than folding despite often losing, because the dealer frequently fails to qualify or holds a lower pair, making the expected loss from raising smaller than the guaranteed loss from folding.

Ace-rag offsuit is included in the published optimal preflop 4x raising range, so I maximize pressure with the strongest legal raise.

8s5d is a weak offsuit hand outside the published preflop raising range, so checking avoids putting extra chips at risk before seeing the flop.

With 8s5d on a Th Kh Jd flop, I have no pair and only a weak backdoor straight possibility. The dealer often has a pair or better here, so raising 2x would put extra chips at risk with little equity; checking keeps the hand cheap and preserves the option to fold or raise later.

T2s is outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit/low kicker hand.

My 2s-Ts has almost no equity on an A-K-J flop and only a backdoor straight possibility, so I avoid raising 2x and take the free check to see the turn and river before deciding whether to continue.

With two pair (Aces and Tens), raising risks 10 more but wins 20 when ahead and loses 30 when behind. Against 990 dealer combos, we win 465, tie 62, and lose 463, giving an EV of about -4.6 chips, which is better than folding and losing the 20 already posted.

Th9s is outside the optimal 4x raising range; checking preserves the option to raise on the flop.

I have middle pair with a decent kicker on a dry board; raising 2x maximizes value against the dealer's random hand.

2s8s is far outside the published optimal preflop raising range, so raising would add unnecessary risk. Checking keeps the hand alive to see a cheap flop.

My 2s8s has no pair or meaningful draw on Kd4d9h, so raising 2x would risk extra chips with very low equity. I will check and reassess on the river.

My best hand is only ace-high with no pair, and the dealer qualifies with a pair or better about 60% of the time, which beats me. Raising 1x adds risk with negative expected value compared with folding, so I fold.

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

7s4d offsuit is far outside the published preflop 4x raising range, so checking keeps the hand alive without committing extra chips.

With a weak hand (7-4 offsuit) and no pair or draw on a T-2-5 flop, raising 2x would risk chips with low equity. Checking keeps the hand alive to see if the turn or river improves it, and we can then decide whether to raise 1x or fold.

Our best hand is trip 2s with T-7 kickers, but the board's trip 2s mean the dealer beats us with any T, 5, 2, pocket pair, or higher kicker. Raising risks an extra 10 chips with only about a 5% win chance, so folding minimizes the loss.

Ace-6 offsuit is a strong preflop hand that falls within the published optimal 4x raising range (any ace), so raising 4x maximizes expected value against the house dealer.

Ace-Jack offsuit is in the published optimal 4x raising range (any ace), so maximizing expected value means raising the maximum preflop.

Qs4h offsuit is below the published preflop raising threshold (Q8o+), so checking avoids committing extra chips with a weak holding.

I have middle pair (queens) on the flop. With a pair or better after checking preflop, the optimal Casino Hold'em flop strategy is to raise 2x for value against the dealer's random range.

Pocket sixes are a made pair and fall within the published optimal 4x raising range (33+), so raising maximizes value against the dealer's qualifying range.

J3o is below the published preflop raising threshold (J8s+ or JTo), so checking avoids putting extra chips at risk with a weak offsuit hand.

My J-high with a weak 3 kicker only plays the board pair of tens, and the dealer already qualifies with that pair. Checking preserves the option to fold on the river for 20 chips instead of committing an extra 20 now with a likely losing hand.

With two pair (Tens and Sevens) and a J kicker, raising 1x risks 10 more but wins 20 when the dealer qualifies and 10 when they don't, while folding loses 20. The expected value of raising is about -14.9 chips versus -20 for folding, so raising is the better play.

9c6c is a weak, unsuited, disconnected hand outside the published 4x raising range, so I check preflop and preserve the option to raise later only if the board improves my equity.

I have middle pair (sixes) on the flop, which is strong enough to raise 2x according to optimal Casino Hold'em strategy. Checking would give up value and let the dealer improve for free.

2h3d is far outside the published optimal preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

I have a pair of 3s with a straight draw on a 5-4-3 flop. Against the dealer's random hand, my equity is well above 50%, so raising 2x maximizes expected value.

K8s is within the published optimal 4x raising range (K2s+), so raising maximizes expected value preflop.

Q4o is below the published preflop raising threshold, so I check and preserve the option to raise later if the flop improves my hand.

With only queen-high and no pair or strong draw on a 9-5-7 flop, raising 2x would risk extra chips with little equity. Checking keeps the hand cheap and allows a later fold if the turn or river does not improve my hand.

My Q-high hand has no pair, no straight, and only four diamonds, so it cannot beat any qualifying dealer hand. Raising 1x risks an extra 10 chips with negative expected value versus folding, which loses only the ante and blind.

J9o is below the published 4x raising threshold (JTo+/J8s+), so checking conserves chips and keeps the option to raise on a favorable flop.

Top pair with J on a T-J-3 flop is strong against a random dealer; raising 2x maximizes value while likely ahead.

J7o is below the published preflop raising threshold (JTo+ or J8s+), so checking avoids putting extra chips in with a weak offsuit hand.

J-high with no pair or strong draw on an ace-high flop is too weak to raise; checking preserves the option to fold on the river unless I improve.

Folding loses 20 chips, while raising 1x risks 10 more but has better expected value because the dealer often fails to qualify and we win some high-card showdowns. Exact enumeration gives raise 1x a slightly higher EV than folding.

Q7o is below the published optimal preflop raising threshold, so I check rather than risk 3x or 4x with a weak offsuit hand.

Middle pair with two overcards on the board is marginal; checking lets me see the turn and river and fold if the board worsens, while still raising 1x on the river if my hand remains best.

We hold a pair of 7s with a Q kicker. The dealer beats us with any 5 (straight), any 8 or K (higher pair), and several two-pair combos, but we still win about 51.5% of the time. Raising 1x risks 10 more chips but improves EV from -20 (fold) to about -7, so it is the better play.

2h4s is far outside the published preflop raising range, so checking avoids putting extra chips at risk with a weak offsuit hand.

My 2h4s has no pair, no straight or flush draw on this J-8-3 flop, so raising 2x would risk extra chips with very low equity against a dealer who qualifies with any pair. I check and will reassess on the river.

The board pairs 3s, so the dealer always has at least that pair and qualifies; my 2-4 cannot improve and can only tie when the dealer also fails to improve, making a raise negative EV compared with folding.

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

Ace-King offsuit is a premium starting hand and falls within the optimal preflop 4x raising range (any ace), so raising maximizes value against the dealer.

Q3 offsuit is below the published optimal preflop raising range (Q8o+ or better), so I check and preserve chips for a better spot.

I have two pair (queens and eights) on the flop, a strong made hand. Raising 2x builds the pot when I am likely ahead of the dealer's range.

J5o is well outside the optimal preflop raising range (no pair, no ace, kicker too weak), so checking keeps variance down and preserves the option to evaluate a cheap flop.

Top pair with jacks on a coordinated board is strong enough to raise for value; checking would surrender the 2x play bet edge.

As2s falls within the published optimal 4x raising range as any ace, and raising maximizes value with a suited ace before the board develops.

With 2d5h, a weak offsuit hand far outside the published preflop raising range, raising would risk extra chips with poor equity. Checking keeps the hand alive at no additional cost and lets the flop decide.

My 2d5h missed this A-high flop and has only a weak gutshot, so raising 2x would risk extra chips with little equity; I check and will reassess on the river.

My hand only plays the board's pair of threes (A K 6 3 3), and the dealer cannot have a worse hand since the board itself is the minimum. The dealer improves on almost all runouts, so raising 1x is strongly negative EV compared with folding.