Showdown Hold'em table

Pocket tens are well inside the published optimal 4x range (33+), so the maximum preflop raise has the highest expected value against the house dealer.

7s4s is outside the published optimal 4x range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so raising preflop is not warranted. Checking keeps the option to raise 2x on the flop if the board improves the hand.

Seven-high with only backdoor flush and straight draws is too weak to put 2x more at risk against a dealer who qualifies with any pair. I'll check and decide again on the river.

I have only king-high (K T 9 7 6) on the river. Enumerating the 990 dealer hands, a raise wins only about 3% of the time and averages about -25 chips, which is worse than folding at -20.

9-3 offsuit is well outside the optimal 4x raising range (Q8o+, K5o+, etc.), so I check to see the flop and keep the money at risk small.

9-high with no pair, no draw and no connection to the 4-T-K board is a weak hand, so raising 2x on the flop would put chips at risk with negative EV. Checking keeps the option to fold or raise on the river.

I hold ace-high with no pair, and the dealer qualifies about 60% of the time and beats me whenever they pair. My estimated EV for raising 1x is about -22.3 chips versus -20 for folding, so folding is slightly better.

9-5 offsuit is far outside the optimal 4x range (no pair, no ace, weak kickers), so I check and wait to see the flop, where I can raise 2x with a made hand or draw.

With 9d 5s on a Qd 9c Qc flop I have two pair, queens and nines, which is well ahead of most dealer holdings, so the 2x raise has clear positive expected value.

Q5 offsuit is outside the optimal 4x range (Q6s+ or Q8o+), so I check and see the flop rather than put 4x at risk on a weak hand.

Qc5s only has queen-high on a 6-T-2 rainbow board, with no pair and no real draw. Raising 2x here would be negative EV, so I check and decide on the river.

I have only king-high with no pair or straight. The dealer qualifies about 60% of the time and beats me in most of those hands. Raising has roughly -22 chips EV against -20 for folding, so I fold.

A5 offsuit contains an ace, which is in the published optimal 4x raise range (any ace), so raising 4x preflop is the highest-EV play.

2-T offsuit is well below the optimal 4x raise range (T-high needs a J kicker, and T2o is not included), so I check and keep the risk low, deciding again on the flop.

The board pair of kings gives me only K-K with a ten kicker, and the dealer always qualifies. Any king, nine, pocket pair or overcard kicker beats me, so a 2x raise is negative EV. I'll check and decide again on the river.

Kings and tens with a 9 kicker is a strong hand on this board. It loses only to a dealer king, pocket aces, a few full houses, or ten with a higher kicker, roughly 13% of holdings, so the raise is clearly positive EV.

K6 offsuit is inside the published optimal 4x range (K5o+), so raising 4x preflop is the highest-EV play.

KTo falls within the published optimal 4x range (K5o+), so a 4x preflop raise is the highest-EV play against the house dealer.

K2 offsuit is outside the published 4x range (K5o+ or K2s+), so I check preflop and keep the flop raise option open.

Bottom pair of deuces with a king kicker is a standard flop raise in Casino Hold'em. It beats many dealer holdings, and the dealer needs a pair to qualify.

5-9 offsuit is well outside the optimal 4x range, so I check and see the flop before deciding whether to raise 2x.

I hold a pair of nines on a 9-8-K flop, which is second pair with a decent kicker. That is usually a raise_2x in Casino Hold'em, since a pair beats most dealer hands and the dealer often fails to qualify or has less.

JTs is in the published optimal 4x range (J8s+), so the maximum preflop raise has the best expected value against the house dealer.

A6s is an ace-high suited hand, which falls inside the published optimal 4x preflop range (any ace), so raising 4x maximizes expected value.

8-9 offsuit is outside the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check preflop and see the flop for a cheaper decision.

I have a pair of eights with a straight draw on the flop. Middle pair plus draw is enough to raise 2x under standard Casino Hold'em flop strategy.

J7 offsuit is outside the published optimal 4x range (J needs J8s+ or JTo), so I check preflop and keep the option to raise 2x on the flop if it connects.

A pair of sevens with a jack kicker is a made pair on the flop, which basic strategy raises 2x. The dealer still needs a pair or better to qualify, so raising should have positive expectation.

T8 offsuit is outside the optimal 4x raise range (needs J8s+, JTo, Q8o+, K5o+, etc.), so check preflop and reassess on the flop.

T8 offsuit is high-card only on an Ad 4h Qd flop with no pair, no straight draw and no flush draw (the Ts and 8c are off the diamond suit). The dealer qualifies often with the ace and queen on board, so a 2x raise has negative EV and checking to see the river is better.

I have aces and tens with a queen kicker, which beats most dealer holdings. Folding would lose 20 chips for sure, so raising 1x is clearly better.

KQ offsuit is inside the published optimal 4x range (Q8o+ for queens, K5o+ for kings), so the maximum preflop raise is correct.

9-5 offsuit is well outside the optimal 4x range, so I check preflop and keep the option to raise on the flop or fold on the river. Chat is off, so the table message is empty.

9c5d on a Jh Ks 8c flop is only nine-high with a gutshot-type draw at best, so it is well behind a dealer who qualifies with any pair. Checking keeps the risk at ante plus blind and leaves the river fold option open.

The dealer always qualifies with the paired board, and I estimate about a 25% win chance with 3s paired and a K-J-9 kicker. Raising has an EV of roughly -16 chips versus -20 for folding, so I raise.

J4 offsuit is well outside the optimal 4x range (J8s+ or JTo), so I check preflop and keep the option to raise 2x on the flop if the board helps. Chat is off, so the table message is empty.

Only the board pair of sixes plays with a jack kicker. The dealer always qualifies with that pair, and any ace, king, queen, seven or higher pocket pair beats us, so we win well under half the time. Checking keeps the cheaper river decision.

I only have the board pair of sixes with a J kicker. The dealer beats that with any A/K/Q kicker, any pocket pair, a J, a 7/T/5 for two pair, or a straight. My win chance is about 10%, well under the roughly 20% needed to justify the extra 10-chip raise over folding.

T6 offsuit is outside the optimal 4x range (33+, any ace, K5o+, Q8o+, JTo), so I check preflop and keep the option to raise on the flop or river.

Ten-high with only a gutshot (a 9 completes the straight) and no pair is too weak to risk a 2x flop raise against a dealer who needs only a pair to qualify, so I check and reassess on the river.

Pair of tens with 8-7-6 kickers on an unpaired board is beaten by only about 13% of dealer holdings (overpairs, sets, tens with a better kicker or two pair, some straights). Raising 1x has strongly positive EV.

J5 offsuit is outside the published optimal 4x range (J8s+ or JTo for jacks), so I check preflop and keep the option to raise on the flop or river.

Jack-high with no pair and only a backdoor straight draw (2-4-5-7 needs both a 3 and a 6). That is too weak to put 2x more at risk, so I'll check and reassess on the river.

The board pair of queens means the dealer always qualifies, so the ante is at risk either way. I hold queens with a J kicker. Raising beats folding unless I lose over about 80% of the time, and here I lose roughly half.

A2 suited is an ace-high hand, and the published optimal 4x table includes any ace, so raising 4x preflop is correct.

6s5c offsuit is well outside the optimal 4x raising range (33+, any ace, K5o+, etc.), so I check preflop and see the flop before deciding whether to raise 2x.

Middle pair of sixes on the flop should beat a random dealer hand roughly 60% of the time, which makes the 2x raise slightly positive in expected value.

A9 suited is an ace-high hand, and the published optimal 4x table raises any ace preflop. Chat is off, so the table message is empty.

4-5 offsuit is well outside the optimal 4x raising range, so I check preflop and see the flop before deciding whether to raise 2x.

With 4-5 on a 6-7-Q flop I have only an open-ended straight draw, with about a 31% chance to hit by the river and no made hand. By my rough estimate, checking and deciding on the river (about -7 chips) beats raising 2x now (about -14 chips).

My 4-5 doesn't improve the board, so my best hand is KKQ76. The dealer always qualifies with the board pair of kings and beats or ties me with nearly any holding, so a raise would only add to the loss.

Q4s falls outside the published optimal 4x range (Q6s+ or Q8o+), so I check and see the flop before deciding on a raise.

I have only nines with a K-Q kicker on a paired board. The dealer always qualifies and beats me with any ace, king, queen, nine or pocket pair, so I'm roughly a coin flip and the 2x raise has little edge. Checking keeps the cheaper 1x river raise or a fold available.

The board pair of 9s means the dealer always qualifies. I win about 42% of the time (pair of 9s with A-K-Q kickers) and lose about 58%. That gives raising an EV of roughly -9 chips against -20 for folding, so I raise.

Qc4c is not in the optimal 4x raise range (Q6s+ or Q8o+ required), so the standard play is to check preflop and see the flop before deciding whether to raise 2x.

Queen-high with only a backdoor flush draw and no pair is too weak to put 2x on the flop, so I check and keep the river option open.

I have only a pair of fours on a 6-7-8-9 board. The dealer wins with any 5 or 10 (straight) or with a higher pair, roughly 80% of the time. Raising is about -22.6 chips in expectation versus -20 for folding.

2-8 offsuit is a weak hand well outside the optimal 4x raising range, so I check to keep risk low and see the flop, where I can still fold on the river if nothing develops.

2h 8d on a Ts 7d 5c flop is only eight-high with a gutshot straight draw, which is too weak to put 2x more at risk. Checking keeps the option to fold on the river.

I have only a pair of fives with a T-9-8 kicker on a paired board, so the dealer always qualifies. The dealer beats me with any card above ten, any pair, or a card that makes two pair, so I win only about 8.5% of the time. Raising needs roughly 20% to break even, so folding and losing 20 is better than risking 30.

J5 offsuit is outside the published optimal 4x range (J8s+ or JTo), so a preflop raise is negative EV. Checking keeps the risk small and leaves the option to raise on the flop or fold on the river.

Jack-high with no pair and no real draw on a 2-3-8 flop is too weak to put 2x more at risk, so I check and decide again on the river.

I have only queen-high on a board that gives the dealer a pair about 60% of the time. Enumerating the dealer's 990 holdings, raising has an EV of about -20.8 chips against -20 for folding, so folding is marginally better.

K7 offsuit is inside the published optimal 4x range (K5o+), so raising 4x maximizes expected value.