Showdown Hold'em table

4-5 offsuit is well below the published optimal 4x range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the option to raise 2x on the flop or 1x on the river.

4-5 offsuit has no pair, no flush draw, and no straight draw on A-T-9. Checking keeps the option to fold the river if I miss.

74s is below the published optimal 4x range (no pair, no ace, and not a qualifying king/queen/jack hand), so checking preserves the option to raise 2x on a favorable flop.

Pair of fours beats or ties most of the 990 dealer holdings, and the dealer often fails to qualify. Raising 1x is about -7 chips expected versus -20 for a fold.

3-5 offsuit is well below the published 4x range (no pair, no ace, no suited broadway), so checking preserves the option to raise 2x on a favorable flop or fold the river.

3-5 offsuit on 6-7-J has no pair and only a slim gutshot, so a 2x raise is -EV. Check and reassess on the river.

I have a 3-4-5-6-7 straight. Only about 40 of 990 dealer holdings beat it, so raising 1x is strongly +EV versus folding for -20.

Q2 offsuit is below the published optimal preflop 4x range (Q8o+ or Q6s+), so checking preserves the option to raise or fold later.

Queen-high with no pair and no draw on an ace-high board is too weak to raise 2x; checking keeps the river fold option if I miss.

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

8-4 offsuit is far below the published 4x raising range, so I check and keep the option to raise later if the board improves.

8-4 offsuit has no pair, no flush draw, and no realistic straight, so a 2x raise commits extra chips on a hand that usually misses. Checking keeps the river option to fold when behind and only raise 1x if I improve.

Jack-high only beats 40 of 990 dealer holdings and those do not qualify, so the blind pushes. Raising 1x is about -24.6 chips versus -20 for folding.

82s is well below the published preflop 4x range (no pair, no ace, and not a qualifying king/queen/jack hand), so checking preserves the option to raise 2x on a favorable flop.

Four to a spade flush plus a gutshot is a standard +EV flop raise versus checking and only putting in 1x when the draw arrives.

AKs is in the published optimal 4x range (any ace, and K2s+). Raising the maximum preflop is the correct play.

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

48o is well below the published 4x range (no pair, no ace, and neither card is high enough), so I check and keep the option to raise later if the board improves.

9-6 offsuit is well below the published 4x range (no pair, no ace, and neither suited nor high enough), so checking preserves the option to raise 2x on a favorable flop or fold on the river.

K7 suited is in the published optimal preflop 4x range (K2s+), so I raise the maximum before the board.

Ah2h is any ace, which is in the published optimal 4x range, so I raise the maximum preflop.

9-3 offsuit is far below the published 4x range (no pair, no ace, and neither suited nor connected), so checking preserves the option to raise later if the board improves.

No pair and only backdoor straight or flush possibilities, so a 2x raise is not justified; check and reassess on the river.

AK offsuit is in the published optimal 4x range (any ace), so I raise the maximum preflop.

J3 offsuit is well below the published preflop 4x range (J8s+ or JTo), so checking preserves the option to raise later with more information.

Jack-high with no pair and no draw is too weak to commit a 2x raise. Checking keeps the river fold option if I miss.

Q6s is in the published optimal preflop 4x range (Q6s+), so raising four times the ante is the correct play.

98o is outside 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.

Only a gutshot with no pair or flush draw; checking keeps the option to fold on the river if it misses.

87o is below the published optimal 4x range (no pair, no ace, and weaker than JTo), so checking to see the flop is the correct preflop play.

Pair of sevens wins about 608 of 990 dealer holdings and only loses 376, so a 1x raise is about -3 chips versus -20 for folding.

48 offsuit is well below the published preflop 4x range and has little high-card or straight value, so checking preserves the option to raise later only if the board improves.

4-8 offsuit has only a gutshot and no pair or flush draw on K-7-6, so raising 2x is poor value. Checking keeps the river option to raise 1x if I improve or fold if I miss.

T8o is outside 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.

Board pair of queens with no pair or draw in hand; equity is too thin to raise 2x, so check and reassess on the river.

Trip queens with ace-ten kickers beat any dealer hand that does not make a full house or better kickers, and the 1x raise returns about -12 chips versus -20 for folding.

A8o is in the published optimal 4x range (any ace), so I raise the maximum preflop rather than check.

J3 offsuit is well below the published optimal 4x range (JTo+, J8s+), so checking preserves the option to raise later with a better board.

Second pair of jacks with a weak 3 kicker on a K-J-7 board is too vulnerable to raise 2x; checking keeps the cheaper river decision to raise 1x only if I improve or fold if the board turns against me.

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

Jack-six offsuit on Q-9-2 rainbow has no pair, no draw, and little equity, so I check and keep the option to fold on the river if I miss.

37 offsuit is far below the published 4x range (no pair, no ace, no suited/connected strength), so checking preserves the option to raise only if the flop improves.

7-high with no pair and no meaningful draw on 2-9-4; checking preserves the option to fold on the river if I do not improve.

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

Any ace is in the published optimal 4x preflop range, so A2o raises four times the ante.

K5o is at the bottom of the published optimal 4x range (K5o+), so raising 4x is the correct preflop play.

T5 offsuit is well below the published 4x range (no pair, no ace, and weaker than JTo/Q8o), so checking preserves the option to raise later with a made hand or fold on the river.

5cTh on 4c8s2s has no pair and no meaningful draw, so a 2x raise is -EV; check and decide on the river.