Showdown Hold'em table

Any ace is in the published optimal 4x preflop range, and A-3 offictually has enough equity to justify the maximum raise over a check.

3-2 suited is far below the published 4x preflop range, so checking keeps the ante at risk minimal and preserves the option to reassess after the flop.

Hole cards 3h 2h make no pair against Q-8-K, which is too weak to risk 2x on the flop. Checking keeps the option to fold on the river if the board does not improve the hand.

My best hand is A-K-Q-T-8 high card, which almost any dealer pair beats, and the dealer rarely fails to qualify in a way I would win. Folding loses 20 chips, while calling a 1x river raise loses about 24 chips on average.

Ace-seven offsuit is an any-ace hand in the published optimal 4x preflop table, so raising four times the ante is the expected-value play.

Ace-4 offsuit is in the published optimal 4x range because any ace qualifies, so I raise four times the ante preflop.

Pocket eights are above the published 4x threshold (pairs 33+), so a four-times-ante raise has positive expected value preflop.

Ace-ten offsuit is in the published optimal 4x range (any ace), so raising four times the ante has the best expected value here.

9-3 offsuit is well below the published 4x raise range, so checking keeps the option to play later streets without risking a preflop raise on a weak hand.

A pair of nines is a reasonable made hand against a dealer who qualifies only with a pair or better, so I'll raise 2x on the flop for value.

Seven-two offsuit is the weakest starting hand, so I won't risk a preflop raise. Checking keeps the option to continue on the flop or river at lower risk.

My 7-2 has only high-card value on this K-J-8 board with no real draw, so raising 2x risks too much. I'll check and let the river decide whether to fold or call 1x.

I hold only a pair of eights with a king-jack-seven kicker, and the dealer already qualifies on the board, so almost any dealer pair, ace, queen or ten beats me. Calling 1x loses about 30 chips in most runouts, while folding costs only the ante and blind (20).

Any ace is in the published optimal 4x preflop range, and A-2 offset with the ante-and-play structure makes a four-times raise the higher-EV play here.

Ten-five offsuit is below the published 4x preflop range, so checking keeps the option to play later on the flop or river at lower risk.

On the flop we hold two pair (tens and fives) against a dealer who needs a pair to qualify, so the hand is strong enough to raise 2x for value.

K6 offsuit meets the published optimal 4x preflop range (K5o+), so raising four times the ante is the standard play.

T9 offsuit is below the published 4x preflop range, so checking keeps the option to raise 2x on the flop if it improves without risking the larger 3x or 4x wager.

On the flop I hold two pair (tens and nines with an ace kicker), which beats most dealer holdings that qualify, so raising 2x the ante is clearly +EV.

JTo is in the published optimal 4x preflop range, so raising four times the ante is the standard play here.

8-2 offsuit is far below the published 4x raise range, so checking keeps the option to continue on later streets without putting extra chips in preflop.

With 8-2 offsuit and no pair on a K-J-9 flop, I'll check and keep the option to fold on the river rather than risk two more ante units now.

Holding a pair of 2s, I beat the dealer only when the dealer misses qualifying, about 42% of the time. Raising has a better expected value than folding, which loses the ante and blind for certain.

Five-deuce offsuit is far below the 4x preflop threshold, so I check and keep the option to play later streets cheaply.

I have only a board pair of fours with Q-5-2 side cards, which is marginal, and the dealer always qualifies on this board. Checking keeps the option to decide on the river with all five cards visible.

The board already gives the dealer a pair of 4s and a pair of 2s, so the dealer always qualifies and my two pair can at best tie, with no winning runouts. Raising risks 30 chips for an expected loss of about 21.6, while folding loses a certain 20, so folding is the smaller loss.

6-3 offsuit is far below the published 4x raise range, so I check and keep the option to act on the flop.

I hold 6-3 offsuit with only a straight and flush draw on an A-8-7 board, too weak to raise 2x on the flop. Checking keeps the option to call a river 1x if I improve, and folding is cheaper than raising if I miss.

I hold 6-7-8-9-T, a straight, and the dealer can only beat it with a jack-high or better straight, roughly 17% of holdings, so raising 1x on the river has clearly positive expectation.

Ace-trey is an ace hand, which the published optimal 4x preflop table says to raise, so I put 4x the ante in at the preflop decision point.

King-six suited is inside the published optimal 4x preflop range (K2s+), so raising four times the ante is the +EV play over checking.

9-6 suited is below the published 4x preflop threshold, so I check and keep the option to raise 2x on the flop.

Our 9-6 of hearts has only a pair of aces from the board, so raising now risks extra chips at roughly even equity. Checking keeps the option to see the river and fold a weak result for free.

The board already pairs aces and gives the dealer a diamond-flush draw. I hold only pair of aces with 9-8-6 kickers, so I win roughly 5% of the time; raising costs an expected ~27 chips against a fold costing 20.

Queen-ten offsuit clears the published optimal 4x range (Q8o+ and JTo+), so raising four times the ante is the standard preflop play.

Pocket kings are far above the 4x preflop threshold (33+ is a raise), so a 4x play bet maximizes expected value against the house dealer.

King-nine offsuit is in the published optimal 4x preflop range (K5o+), so raising four times the ante is the reference play.

T9s is outside the published preflop 4x range (33+, any ace, K2s+, Q6s+, J8s+, JTo), so checking keeps the option to see the flop and raise 2x only if it improves.

On the flop I hold two pair (tens and nines) against a board that makes me a strong favorite over the dealer's random holdings, so raising 2x is the +EV play.

5s-Ts is below the published 4x preflop range (JTo and J8s+ are the weakest included hands), so I'm not raising preflop. Checking keeps the hand alive for a possible flop decision.

Two pair (tens and eights, five kicker) is a strong made hand against a random dealer holding, so raising 2x on the flop has positive expected value.

QTs is suited and above the Q6s+ threshold in the published optimal 4x preflop table, so raising four times the ante is the standard play.

Pocket aces are a strong preflop hand well above the 4x threshold, so raising four times the ante maximizes expected chips.

Q6 offsuit is below the published 4x preflop range (Q6s+ or Q8o+), so checking keeps the option to raise 2x on the flop at lower risk.

Q-6 high with only an ace-high board gives me weak showdown equity, so I keep the option to fold on the river instead of committing 2x now.

I hold an 8-high club flush on the river, which beats nearly every dealer holding that can qualify, so raising the 1x play bet has clearly positive expectation over folding.

7-10 offsuit is below the published 4x preflop range, so I'll check and keep the option to continue later for a cheaper decision.

A pair of tens with a 7 kicker is a made hand that should beat many dealer holdings, and the flop raise is the standard continuation with a pair here.

7-8 offsuit is below the published 4x preflop threshold, so checking keeps the option to play on the flop with a cheaper 2x raise if the board helps.

I hold two pair, eights and sevens, with a jack kicker on the flop, which beats most dealer holdings at showdown. Raising 2x is clearly +EV here.

Queen-jack offsuit is above the published optimal 4x preflop range (Q8o+ and JTo+), so raising four times the ante has positive expected value despite this being the final hand.