Showdown Hold'em table

Eight-six offsuit is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing extra chips now.

Bottom pair using a hole card plus a gutshot straight draw gives enough value to raise 2x. The backdoor heart-flush potential adds further upside.

K3 offsuit is below the optimal preflop raising threshold of K5 offsuit. Checking preserves the option to raise after seeing the flop.

Kings and eights is a strong two-pair hand on this flop, ahead of most dealer holdings. Raising now captures value despite the weak kicker and the risk of dealer trips.

A7 offsuit is in the optimal preflop 4x raising range, which includes every ace. Raising the maximum is preferred to checking or raising 3x.

Ten-four offsuit is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing additional chips now.

Ten-high with no pair and only backdoor straight and flush possibilities is too weak for a 2x raise. Checking preserves the option to raise or fold after seeing the full board.

Your pair of fours wins often enough against the dealer’s possible holdings to justify the final 10-chip bet. Raising has higher expected value than forfeiting the ante and blind.

A3 offsuit is in the optimal preflop 4x raising range, which includes every ace. Raising the maximum maximizes expected chips.

Eight-five offsuit is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the board without committing extra chips now.

With eight-high, no pair, and no immediate straight or flush draw on this high-card flop, raising 2x is unattractive. Checking preserves the option to reassess after the final two cards.

A pair of eights beats enough dealer holdings, including unpaired hands, to make the 1x call more valuable than folding and forfeiting both forced bets.

Ten-two suited is outside the optimal preflop raising range. Checking preserves the option to bet after seeing the flop without committing chips to a weak starting hand.

With no pair and only a gutshot to Broadway, this hand is too weak for a 2x raise. Checking preserves the option to raise or fold after seeing the full board.

My two pair, aces and tens, wins against 465 of the 990 possible dealer holdings and ties against 62. Raising has substantially higher expected value than folding and forfeiting both initial bets.

Ten-nine offsuit falls outside the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing extra chips now.

Top pair with a ten kicker is strong against the dealer’s random holding. Raising 2x now gains more value than waiting for the river’s smaller bet.

8-2 suited is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing extra chips now.

With no pair, no flush draw, and no possible straight by the river, this hand is too weak for a 2x raise. Checking preserves the option to raise or fold after seeing the final board.

With only ace-high and an eight kicker, raising has an expected net result of about -20.68 chips. Folding loses 20 chips, making it slightly better.

Pocket nines are comfortably within the optimal preflop 4x raising range. Raising the maximum maximizes expected value against the dealer’s random hand.

Seven-four offsuit is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the board without committing more chips now.

Seven-high with no pair or immediate straight or flush draw is too weak for a 2x raise. Checking preserves the option to make a smaller river bet if the hand improves or fold otherwise.

Your best hand is trip deuces with ten-seven kickers, which loses to most dealer holdings. A 1x raise has lower expected value than folding and losing the ante and blind.

A6 offsuit falls within the optimal preflop 4x raising range, which includes every ace. Raise 40 chips to maximize expected value.

Ace-jack offsuit is a clear 4x raise under the optimal preflop table. Taking the maximum raise maximizes expected value against the dealer’s random hand.

Q4 offsuit is below the optimal preflop raising threshold of Q8 offsuit. Checking preserves the option to raise after seeing the board.

Pairing the queen gives a strong enough made hand against a random dealer holding to raise on the flop. Betting 2x captures more value than waiting despite the ace overcard and possible draws.

Pocket sixes are in the optimal preflop 4x raising range (33+). Raising the maximum to 40 chips maximizes expected value.

J3 offsuit is outside the optimal preflop raising range. Checking preserves the option to raise later if the board improves the hand.

The paired board gives everyone tens, and J3 adds only a weak kicker with no strong draw. Checking preserves the option to raise or fold after seeing the full board rather than committing 2x now.

The board's two pair with my jack kicker wins or ties often enough to justify the 1x call. Raising has higher expected value than surrendering the ante and blind.

Nine-six suited is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing more chips now.

Middle pair on this dry flop is strong enough to raise for value against a random dealer hand. The backdoor club flush draw adds a little extra upside.

2-3 offsuit is outside the optimal preflop raising range. Checking avoids committing extra chips with a weak hand and preserves the option to raise after improving.

A pair of threes plus an open-ended straight draw provides enough showdown strength and improvement potential to favor raising 2x over checking.

K8 suited is in the optimal preflop 4x raising range. Raising 40 chips maximizes expected value rather than checking or raising 3x.

Q4 offsuit falls below the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing more chips now.

Queen-high with no pair and only backdoor straight and flush possibilities is too weak for a 2x raise. Checking preserves the option to make a better-informed river decision without committing more chips now.

Queen-high is too weak on this board: too few dealer holdings lose to it or tie. Raising has lower expected value than accepting the fixed ante-and-blind loss.

J9 offsuit is below the optimal preflop raising threshold of JT offsuit. Checking preserves the option to raise after seeing the flop.

Top pair with a nine kicker is strong enough to raise against a random dealer holding. Betting 2x now has greater expected value than waiting for the river despite the board's draw possibilities.

J7 offsuit is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the flop without committing additional chips now.

With no pair and only a backdoor flush draw, this hand is too weak to commit a 2x raise. Checking preserves the option to raise or fold after seeing the full board.

Raising has an expected net loss of approximately 18.21 chips, better than the guaranteed 20-chip loss from folding. Enough dealer hands remain unpaired and lose to our jack kicker to justify the call.

Q7 offsuit is below the optimal preflop raising threshold of Q8 offsuit. Checking preserves the option to raise after seeing the flop.

A pair of sevens using a hole card, with a queen kicker, is strong enough to raise against a random dealer hand. Taking the 2x opportunity has better expected value than waiting for the river.

4-2 offsuit is well outside the optimal preflop raising range. Checking preserves the option to raise later if the board improves the hand.

With four-high, no pair, and no immediate straight or flush draw, a 2x raise is not justified. Checking preserves the option to raise if the hand improves or fold on the river.

Neither hole card improves the board’s pair of threes with J-8-5 kickers, so this hand cannot win and can only rarely tie. Folding loses less in expectation than adding the river bet.

King-jack offsuit is in the optimal preflop 4x raising range. Raising the maximum maximizes expected chips.

Ace-king offsuit is a strong preflop hand and is included in the optimal 4x raising range. Raising the maximum maximizes expected chips.

Q3 offsuit is below the optimal preflop raising threshold of Q8 offsuit. Check to see the flop before committing a play bet.

Pairing my queen gives me queens and eights, a strong two-pair hand ahead of most dealer holdings. Raising now captures value rather than waiting for the smaller river bet.

J5 offsuit is outside the optimal preflop raising range. Checking preserves the option to raise after seeing the board without committing extra chips now.

Top pair is strong enough against a random dealer holding to justify the 2x raise. The connected board and weak kicker add risk, but checking gives up value on this favorable flop.

A♠2♠ is in the optimal preflop 4x raising range, which includes every ace. Raising the maximum maximizes expected value.

Five-two offsuit is well outside the optimal preflop raising range. Checking preserves the option to bet later if the board improves the hand.

With no pair and only a gutshot straight draw, this hand is too weak for a 2x raise. Checking preserves the option to raise or fold after seeing the full board.

My best hand is the board’s pair of threes with ace-king-six kickers, so I cannot beat any dealer holding—only tie or lose. Folding avoids risking another 10 chips on a raise with negative expected value.