Showdown Hold'em table

7-3 offsuit is far below the published preflop raising range, so checking preserves the option to raise later if the board improves.

7-3 offsuit has no pair, no flush draw, and no real straight draw on K-T-6. Checking keeps the river fold option instead of putting a 2x play bet on a hand that is almost always behind.

King-high with 7-6 kickers loses to virtually every dealer holding, including every qualifying pair. Raising 1x is about -24.5 chips versus -20 for folding, so fold.

2-6 offsuit is far below the published preflop raise range, so checking preserves the option to raise later only if the board improves.

Bottom pair of deuces with a weak kicker and two overcards on the board is too thin to raise 2x. Checking keeps the river option to raise only if the runout improves the hand or to fold if it does not.

Pair of twos still beats every non-qualifying dealer holding, and exact enumeration of the 990 holdings shows raise EV near -13 chips versus -20 for a fold.

4-5 offsuit is well below the published 4x range (no pair, no ace, and neither card is high enough), so checking preserves the option to raise later if the board improves.

4-5 offsuit on 7-Q-8 rainbow is only a gutshot with no pair or flush draw, so equity is too thin to raise 2x; check and reassess on the river.

K9 suited is in the published optimal 4x range (K2s+), so I raise the maximum preflop.

73s is well below the published optimal 4x range (33+, Ax, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the option to raise 2x on a favorable flop.

3s7s on Th Qc 4s has no pair, no straight draw, and only a backdoor flush, so raising 2x is -EV. Check and reassess on the river under optimal play.

QJo is in the published optimal 4x range (Q8o+), so I raise the maximum preflop.

2-5 offsuit is far below the published 4x range (no pair, no ace, and neither card is high enough), so checking preserves the option to raise later if the board improves.

25o has only a gutshot to the wheel and no flush draw on A-K-3; raising commits 2x with too little equity, while checking preserves a river decision to bet only if the hand improves.

Ace-high with a 5 kicker wins only 12 of 990 dealer holdings and ties 21, so a 1x raise is worth about -26 chips versus -20 for folding.

Pocket sevens are in the published optimal 4x range (33+), so I raise the maximum preflop rather than check.

62s is well below the published optimal 4x range (no pair, no ace, and neither king/queen/jack strength), so checking preserves the option to raise 2x on the flop or 1x on the river if the board improves.

Board pair of kings means the dealer always qualifies, and 6-2 has no pair, no draw, and losing kickers. Checking preserves the option to fold unimproved on the river rather than putting 2x in with a hand that is behind almost every dealer holding.

Board plays KKK97 and 6-2 does not improve it, so I can only tie or lose. Dealer wins about 75% of holdings, so a 1x raise is about -22.5 chips versus -20 for folding.

4-6 offsuit is well below the published 4x range (no pair, no ace, and neither king/queen/jack strength), so checking preserves the option to raise later if the board improves.

46o has no pair and no meaningful draw on T38, so equity is too low to commit a 2x raise; check and reassess on the river.

T7o is outside the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking is the correct preflop action.

7-T has no pair and no straight or flush draw on Js-Qc-2d, so a 2x raise is -EV. Checking keeps the river option to raise 1x only if the board improves the hand.

KJs is in the published optimal 4x range (K2s+), so I raise the maximum preflop.

2-4 offsuit is far below the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the option to raise later with more information.

Js-4o is well below the published optimal preflop 4x range (JTo+ or J8s+), so checking preserves the option to raise later with more information.

Js 4d has no pair and only backdoor straight or flush possibilities on Kc Ts 8s, so raising 2x is not justified. Check and reassess on the river.

King-high with a jack kicker loses to about 825 of 990 dealer holdings, and the rare wins only return the 1x play bet because the dealer does not qualify and the blind pushes. Raising is about -21.2 chips versus -20 for folding.

Ad4d is any ace, which is in the published optimal preflop 4x range, so I raise the maximum.

76s is below the published 4x range and too speculative to commit 3x preflop; checking keeps the option to raise later if the board connects.

Four to a flush on the flop is a strong draw; raising 2x captures more value when it completes than checking and only betting 1x on the river.

K6 suited is in the published optimal preflop 4x range (K2s+), so I raise the maximum.

4-6 offsuit is well below the optimal preflop raise range (no pair, no ace, no suited broadway), so checking preserves the option to raise 2x on a favorable flop or fold the river.

Pair of fives with 4-6 and no flush or one-card straight draw is too weak to raise 2x; checking keeps the option to fold or raise 1x on the river.

Both of us can play the board pair of fives, so I only tie or lose. Dealer ties with two unpaired blanks (393/990); that save on the ante and blind is worth more than the extra chip lost when dealer improves, so raise beats fold.

74o is far outside the published 4x range and has too little preflop equity to justify a 3x raise, so I check and reassess on the flop.

7-4 offsuit completely missed Q-K-9 with no pair or draw, so a 2x raise has no value. Check and reassess on the river.

My best hand is the board pair of kings with Q-J-9, so I can only tie or lose. Dealer wins about 71% of the time and always qualifies, making a 1x raise worth about -21.2 versus -20 for folding.

Ace-jack offsuit is in the published optimal preflop 4x range (any ace), so I raise the maximum before the board.

KJo is in the published optimal 4x range (K5o+), so raise the maximum preflop.

2-6 offsuit is well below the published optimal preflop raise range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so check and see the flop.

26o has no pair and no draw on AJ8, so equity is too low to commit a 2x raise; checking preserves the option to fold or raise 1x on the river after seeing whether the hand improves.

9-2 offsuit is well below the published preflop raising range, so I check and keep the option to raise later if the board improves.

No pair, no straight draw, and only a backdoor club flush, so a 2x raise is not justified. Checking keeps the option to raise 1x or fold on the river.

K9s is in the published optimal 4x range (K2s+), so raise the maximum preflop.

J7 offsuit is below the published optimal 4x range (offsuit jacks need JTo+), so check and reassess on the flop.

Jack-high with no pair and no draw on a disconnected rainbow flop is too weak to raise 2x; checking preserves the option to raise or fold on the river.

J6 suited is below the published optimal 4x range (J8s+), so I check preflop and defer the raise decision to the flop.

Q2s is below the published optimal 4x range (Q6s+), so I check and defer the decision to the flop.

79 offsuit is well below the published 4x range and has little preflop equity, so checking preserves the option to raise 2x only if the flop improves the hand.

No pair and only a naked open-ended straight draw on a two-diamond board. Checking keeps the free river look and the option to fold if I miss, which is better than committing a 2x raise.