Showdown Hold'em table

65o is well below the published optimal 4x range (33+, Ax, K5o+, Q8o+, JTo), so checking preserves the option to raise later if the board improves.

No pair or draw on this flop, so checking preserves the option to fold on the river if the board does not improve.

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

J9 suited is in the published optimal 4x range (J8s+), so I raise the maximum preflop.

9-3 offsuit is well below the published preflop 4x range (no pair, no ace, and neither card is high enough), so checking preserves the option to raise later if the board improves.

Board pair with weak kickers leaves little equity and few clean outs; checking preserves the option to fold on the river rather than committing a 2x play bet.

4s8c is offsuit and well below the published 4x range (no pair, no ace, and neither card is high enough). Checking keeps the option to raise 2x on the flop or 1x on the river if the board improves.

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

4c3h is offsuit and well below the published preflop 4x range (no pair, no ace, no suited broadway). Checking keeps the option to raise 2x on a favorable flop or fold on the river.

Bottom pair with a weak kicker is too thin to raise 2x and lock in the play bet. Checking keeps the river option to raise if I improve or fold if I am still behind.

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

K6s is in the published optimal 4x range (K2s+), so I raise the maximum preflop.

94o is well below the published 4x range (33+, any ace, K5o+/K2s+, Q8o+/Q6s+, JTo/J8s+), and 3x is not part of that optimal preflop policy, so checking is correct.

Bottom pair of fours with no real draw is too weak to raise 2x; checking keeps the option to raise 1x or fold on the river.

I have trip fours, and the dealer only beats that with one of 18 full-house holdings out of 990. Raising 1x is far better than folding for a sure loss of the ante and blind.

J5 offsuit is well below the published preflop 4x range (JTo+ or J8s+), so checking preserves the option to raise later with a better board.

J5 offsuit has no pair and no draw on A-K-7, so a 2x raise is -EV; check and reassess on the river.

Q6 offsuit is outside the published optimal 4x range (Q8o+ or Q6s+), so checking is the better preflop action.

Queen-high with no pair and only a backdoor diamond draw is too weak to raise 2x; checking preserves the option to raise 1x or fold once the river is known.

K7o is in the published optimal preflop 4x range (K5o+), so I raise the maximum rather than check.

34 offsuit is well below the published preflop 4x range, so checking preserves the option to raise later if the board improves.

Pair of eights with a four kicker and only backdoor straight or flush possibilities is too weak to commit two more antes; checking preserves a free river decision.

Q2o is outside the published 4x range (Q8o+), and 3x is not a value raise with this hand, so check and decide later.

Pair of deuces with an ace on board is too weak to raise; check and reassess on the river.

Pocket deuces are below the published optimal 4x range (33+), so checking preserves the option to raise 2x on a favorable flop or fold on the river.

J4 offsuit is outside the published optimal preflop 4x range (no pair, no ace, and not a qualifying jack), so checking preserves the option to raise later with more information.

Jack-high with only backdoor straight chances and one diamond is too weak to commit a 2x raise. Checking preserves the option to fold on the river if I miss.

Board pair means the dealer always qualifies, and my pair of fives with QJT kickers wins or ties often enough that a 1x raise is about +3 chips versus folding.

J8s is in the published optimal 4x range (J8s+), so raising the maximum preflop is the correct play.

74o is well below the published 4x range and has poor equity and blind-pay prospects, so checking preserves the option to raise only if the flop improves.

74o has only a weak pair of fives with poor kickers and no real draw, so committing a 2x raise is -EV; checking preserves the option to fold unimproved on the river.

96s is below the published 4x range (J8s+), and 3x is not a substitute for a value raise. Check to see the flop before committing more.

The board pair of queens means the dealer always qualifies, and queens-and-sixes wins about 68% of the 990 dealer holdings, so raising 1x is clearly better than folding.

J6 offsuit is outside the published optimal 4x range (J8s+ or JTo), so checking preserves the option to raise later with a better board.

No pair and only backdoor draws on a low board, so checking preserves the option to fold on the river if I miss.

A7o is in the published optimal 4x range (any ace), so I raise the maximum preflop rather than check.

Ace-eight suited is in the published optimal 4x range (any ace), so raise the maximum preflop.

Q9o is in the published optimal preflop 4x range (Q8o+), so I raise the maximum.

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

Q6 offsuit is below the published 4x range (Q8o+ or Q6s+), so checking preserves the option to raise later if the board improves.

Queen-high with only a backdoor flush has too little equity to commit a 2x raise; checking preserves the option to fold or raise 1x on the river.

J7 offsuit is outside the published optimal 4x range (needs J8s+ or JTo), so checking preserves the option to raise later with more information.

76o is outside the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so I check and defer the raise decision to later streets.