Showdown Hold'em table

6d5s offsuit is well outside the optimal 4x preflop range, so I check and see the flop rather than put 3-4x the ante at risk on a weak hand.

6-5 offsuit on a 3-K-J flop has no pair and no strong draw, so a 2x raise has negative expected value. Checking keeps the option to fold or raise 1x on the river.

6d5s with the 3c 4d 7d on board makes a 7-high straight, which beats nearly all dealer holdings. Only 8-9 or a higher straight or a full house beats it, so raising 1x is clearly positive EV.

K2s is in the published optimal 4x range (K2s+), so raising 4x preflop maximizes expected value against the house dealer.

J9 suited is inside the published optimal 4x range (J8s+), so the max preflop raise is the highest-EV play.

3-9 offsuit is far outside the optimal 4x range (33+, any ace, K5o+, etc.), so I check and wait to see the flop before risking a bigger raise.

3-9 offsuit on an A-2-2 flop has only a weak board pair and no real draw. The dealer holds an ace or a pair far more often than not, so a 2x raise has negative expectation. Checking keeps the exposure small and leaves the river fold option open.

My hand is aces and twos with a 9 kicker, and the dealer beats it with any ace, 2, 3, 6, 9 or pocket pair, or any 10 through king kicker. I win in only about 10% of dealer holdings, so raising has an EV of roughly -25 chips against -20 for folding.

4-8 offsuit is far below the optimal 4x raise range, so I check preflop to limit risk and see the flop before deciding on a 2x raise.

Two pair (nines and fours) on the flop is well ahead of the dealer's range. The dealer always qualifies with the paired board, so the 2x raise has positive expectation.

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

4c3h is a weak offsuit hand well outside the optimal 4x raise range, so I check preflop and keep the option to raise on the flop or fold at the river.

Bottom pair of threes with a 4 kicker on a 9-T-3 board is marginal. The dealer often has a higher pair or two pair, so I'd rather keep the option to raise 1x or fold on the river than risk 2x now.

I have a low pair of threes with a king kicker. The dealer beats it in roughly 55-60% of holdings, but many of the rest are non-qualifying hands where my play bet still wins. My rough estimate puts the raise at about -9 chips against -20 for folding.

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

K6 suited falls within the published optimal 4x preflop range (K2s+), so raising 4x is the highest-EV play. Chat is off, so the table message is empty.

4-9 offsuit is far outside the optimal 4x range (33+, any ace, K5o+, etc.), so I check preflop and keep the option to raise 2x on the flop if the board helps.

I hold a pair of fours with a 9 kicker, and a pair usually beats a random dealer hand often enough for the 2x flop raise to have positive expected value. The dealer also needs a pair to qualify, so the ante often pushes, which limits the downside. It is a marginal spot, but I prefer the raise to checking.

J5 offsuit is outside the optimal 4x range (J8s+ or JTo), so I check and see the flop rather than risk a large raise with a weak hand. Chat is off, so the table message is empty.

J-high with no pair or strong draw on an A-K-7 board is weak, since the dealer easily pairs the board. Checking is the standard play and keeps the risk small.

I hold only ace-high (A K Q J 7), but the dealer fails to qualify about 38% of the time, and then my raise wins +1 ante. Rough EV of raising is about -1.4 antes, better than the -2 antes from folding.

Q6 offsuit falls outside the optimal 4x range (Q6s+ or Q8o+), so I check and see the flop at minimal risk.

Queen-high with no pair and no real draw on a K-T-2 flop is too weak to put 2x more at risk, so I check and keep the river decision, where I can still fold.

I have only king-high with no pair or made straight, and the dealer qualifies about 59% of the time, and any pair beats me. My rough estimate is raise EV ≈ -22 chips versus -20 for folding, so folding is slightly better.

K7 offsuit falls within the published optimal 4x range (K5o+), so a 4x preflop raise maximizes expected value.

3-4 offsuit is far outside the optimal 4x range (33+, any ace, etc.), so I check and see the flop rather than put more chips at risk. Chat is off, so the table message is empty.

The board pair of 8s means the dealer always qualifies, and my 3-4 adds almost nothing (needs both a 5 and a 6, or two more spades). Most dealer holdings beat my 8-8-7-4-3, so a 2x raise is negative EV and I'll check and keep the river fold option.

I hold eights and fours with a 9 kicker. The paired board means the dealer always qualifies, so raising is +EV once win probability exceeds about 20%, and two pair beats most dealer holdings.

Q2 offsuit falls outside the published optimal 4x range (Q8o+ or Q6s+), so raising is negative EV. Checking preflop keeps the option to raise 2x on the flop or fold on the river.

Pocket-connected pair of twos (bottom pair with a Q kicker) is a made hand that beats all non-pair dealer hands and many pairs, which fits the standard flop-raise range of pair or better.

Pocket deuces are below the published 4x range (33+), so raising is not justified; checking preflop and seeing the flop is the better play. Chat is off, so the message is empty.

Pocket deuces with 88Q on board give two pair with a full-house draw, and the dealer always qualifies on the paired board. I estimate about 65-70% to win, so raising 2x has positive EV.

J4 offsuit is outside the optimal 4x raising range (J8s+ or JTo), so I check preflop and keep the option to raise 2x on the flop.

4c Jd on a 5d Qd Ts flop is only jack-high with a backdoor-ish gutshot (needs K or 9 for a straight, 8 outs-ish) and a weak flush draw with one diamond. That is too weak to put 2x more at risk, so check and reassess on the river.

The board pair of 5s means the dealer always qualifies. I have 5s with Q-J-T kickers and estimate about a 25-28% chance to win. Raising has a break-even against folding at about 20%, so raising (EV about -15) beats folding (-20).

J8s is inside the published optimal 4x range (J8s+), so raising 4x maximizes expected chips.

7-4 offsuit is far outside the optimal 4x raise range, so I check preflop and keep the option to raise on the flop or fold at the river. Chat is off, so the table message is empty.

The board pair of fives means the dealer always qualifies, and my 7-4 kicker is weak. Any dealer card 8 or higher beats me, so I'm a big underdog. Checking avoids adding a 2x raise and keeps the option to fold on the river.

Two pair (fives and fours, king kicker) on the river. The dealer always qualifies because the board is paired, so a raise wins 2 units and loses 3, while folding loses 2. Raising beats folding once win probability exceeds about 20%, and mine is well above that.

9d6d suited is outside the published optimal 4x range (33+, any ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so raising 4x or 3x has negative expectation. Checking keeps the risk low and lets me raise 2x on the flop if it helps.

Queens and sixes two pair with a nine kicker is a strong made hand on the flop. It beats most dealer holdings, so raising 2x has clear positive expected value.

J6 offsuit is outside the optimal 4x range (J8s+ or JTo), so I check preflop and see the flop before deciding on a 2x raise.

6-J high on a 4-2-9 flop is unpaired with no real draw (only a backdoor heart flush chance), so a 2x raise is negative EV. Checking keeps the river option to raise 1x or fold.

The 2-3-4-5-6 straight is a strong made hand. Only a flush, a higher straight or a better hand beats it, so raising 1x on the river is clearly +EV.

Ace-high hands like A7o are in the published optimal 4x preflop range (any ace), so raising 4x maximizes expected value against the house dealer.

Ace-eight suited is inside the published optimal 4x range (any ace), so raising 4x maximizes expected chips.

Q9 offsuit is inside the published optimal 4x range (Q8o+), so a 4x preflop raise maximizes expected value.

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

Q6 offsuit is not in the published optimal 4x table (Q6s+ or Q8o+), and Q6o falls just outside it. Preflop the only options are raise or check, so this is a marginal call. Checking keeps the flop raise_2x option open and limits exposure, but the flop decision is only marginally better than raising here, so I choose the more conservative path.

J7 offsuit is outside the published optimal 4x range (J8s+ or JTo), so I check and re-evaluate on the flop rather than raise preflop.

The board pair of 4s means the dealer always qualifies. My J-7 adds only kickers, and dealer aces, pairs, fours or better kickers beat me often, so I'll avoid the 2x raise and see the river.

I have two pair, sevens and fours with an ace kicker. The dealer beats it only with an ace, a four, a pair of eights or better, or a straight, roughly 30% of holdings, so raising has a clearly positive EV compared with folding.

7-6 offsuit is well outside the optimal 4x raising range (33+, any ace, K5o+, Q8o+, J8s+, etc.), so checking preflop keeps risk low and lets me decide on the flop.

7c6s on 9c-3s-Th has no pair and only a gutshot (needs an 8), so it is too weak to put 2x more at risk on the flop. Checking keeps the option to fold or raise on the river.

I have only ace-high (A T 9 7 6) on a board that pairs easily for the dealer. Roughly 62% of dealer hands qualify with a pair and beat me, and most non-qualifying hands still outrank me. Raising has an EV of about -24 chips versus -20 for folding, so I fold.

5-7 offsuit is well outside the optimal 4x raise range, so I check to limit exposure and see the flop before deciding whether to raise 2x.

A pair of sevens plus a gutshot to a straight (any 6) is a clear flop raise, since a made pair beats the typical dealer holding and the 2x play bet has positive expectation.

7-5 offsuit is well outside the published optimal 4x raising range, so I check preflop and keep the risk minimal to see the flop. Chat is off, so the table message is empty.

7-5 offsuit with no pair, no straight draw and no flush draw on a Ts Jd 3h flop is very weak against the dealer's range, so a 2x raise has negative expected value. Checking keeps the option to fold on the river.

My 7c5s plays only K-high on a T-J-Q-K board. Any dealer ace, nine or pair beats me, so raising loses far more often than it wins. Folding costs 20 chips, which is better than the expected loss from raising.