Showdown Hold'em table

J5 offsuit is below the published 4x threshold (J8s+ or JTo), so checking preflop and waiting for flop/river information is the optimal play.

Two pair (jacks and fives) on the flop is a very strong hand with the board unpaired for the dealer; raising 2x now is clearly +EV over checking.

9-5 offsuit is far outside the optimal 4x raising range (no pair, no ace, not a qualifying K/Q/J hand), so checking preserves the option to raise 2x on a favorable flop or 1x on the river.

Flop Jc 7s 4c with 5d 9c gives no pair, no flush draw (only one club), and only a weak backdoor gutshot; standard flop strategy says raise 2x only with a pair or better or a strong draw, so checking to see the river for free is clearly correct.

We hold two pair (jacks and nines) on a paired board; the dealer only beats us with a jack, a higher two pair/pocket pair, a full house, or T8, roughly 18% of holdings, so raising is far better than folding.

Pocket queens are a premium pair well within the published 4x raising range (33+), so maximizing the play bet preflop is clearly +EV.

K8 offsuit is within the published optimal 4x raising range (K5o+), so raising the maximum preflop maximizes expected value.

J8 offsuit is below the published 4x threshold (J8s+ or JTo required), so checking preflop and waiting for flop information is the higher-EV line.

Top pair of jacks with an 8 kicker on a J-9-3 flop is a standard 2x raise in Ultimate Texas Hold'em strategy (top pair or better on the flop); checking forfeits value.

6-8 offsuit is well below the optimal 4x raise threshold (no pair, no ace, no qualifying king/queen/jack hand), so checking and waiting for flop/river information is correct.

Unpaired 86 with only a gutshot to the 7 on a 9-4-T board; flop strategy calls for a 2x raise only with a hidden pair or strong flush draw, so I check and see the river.

I hold only K-high with no pair or straight on 9-4-T-J-K; the dealer beats me with any pair, Q, or A (23+ outs out of 45 unseen cards), so raising 1x has worse EV than folding.

Pocket threes (33+) is in the published optimal 4x raise range for Ultimate Texas Hold'em, so raising the maximum preflop maximizes expected value.

Any ace is in the published optimal 4x preflop raising range for Ultimate Texas Hold'em-style play, so A7o should raise the maximum now.

K6 offsuit is a 4x raise per the optimal preflop strategy (K5o+), so raising 4x maximizes expected value.

QJ offsuit is within the published optimal 4x range (Q8o+), so raising the maximum preflop has the highest expected value.

K5 offsuit is at the bottom of the published optimal 4x range (K5o+), so raising 4x preflop has higher EV than checking.

Q2 offsuit is below the published 4x threshold (Q8o+ offsuit, Q6s+ suited), so checking preflop and deciding on the flop or river is higher EV.

Q2 on a K-T-7 rainbow board gives only queen-high with a gutshot (J) to a straight; no pair and no flush draw, so raising 2x is unprofitable. Check and reassess on the river.

King-high with a queen kicker on a dry board: roughly 19 dealer outs (board-pairing cards plus aces), under the ~21-out fold threshold; enumeration gives raise EV about -18.9 chips vs -20 for folding, so calling is marginally better.

8-2 suited is far below the optimal 4x raising range (needs 33+, any ace, K2s+, Q6s+, J8s+); checking preserves the option to raise 2x on a favorable flop or 1x on the river.

8d2d on Qh5dJh is nothing: no pair, no draw worth mentioning, and two overcards on board. Standard flop strategy is to check with no pair or strong draw and decide at the river.

Queen-high with no pair on a three-heart board; dealer beats us with any pair, any heart, or any A/K/T/9 kicker, far more than the ~21-out threshold, so folding loses less than calling.

T7 offsuit is well outside the optimal 4x raising range (needs JTo, Q8o+, K5o+, any ace, or pairs), so checking preserves the option to raise 2x on a favorable flop.

7c Ts on 8d 2d Jc gives only a gutshot (9) and no pair; standard flop strategy is to raise 2x only with a pair or strong draw, so checking to see the river is correct.

Pair of tens on a four-diamond board loses to ~60% of dealer holdings, but calling 1x still beats folding: EV of raise is roughly -13 chips vs -20 for folding since we win against all non-qualifying and weaker-pair hands.

Q5 suited is below the Q6s+ threshold in the optimal 4x table, so checking preflop and waiting for flop/river information is the higher-EV play.

Qc5c makes a hidden pair of fives on the 5s Td Ad flop; the standard flop strategy raises 2x with any hidden pair (except pocket deuces), as the equity edge versus random dealer holdings beats the check-then-river-1x line.

7-8 offsuit is not in the optimal 4x raising range (no pair, no ace, not a qualifying K/Q/J hand), so checking to see the flop is correct.

Top pair (eights) with a seven kicker on a dry 5-2-8 board is a standard 2x flop raise in Ultimate Texas Hold'em strategy; a pair using a hole card is well ahead of the dealer's range.

J4 offsuit is below the optimal 4x raising threshold (J8s+ or JTo), so checking preflop and waiting for the flop is correct.

J4 offsuit on a 3-T-6 rainbow board gives me only jack-high with a gutshot (needs 2 and 5, not even connected); the standard flop strategy raises 2x with a pair or better, strong draws, or specific hidden pairs, none of which I have. Checking keeps the option to raise 1x or fold on the river.

Board 3-3-T-6-2 with J4 gives only board pair with J kicker; dealer always qualifies and beats me with any A/K/Q, any pair, or a 54 straight (~85% of holdings). EV of raise_1x is about -22.7 chips versus -20 for folding, so fold.

K6 suited is in the published optimal 4x raising range (K2s+), so raising the maximum preflop is the highest-EV play.

Pocket fives are in the published optimal 4x range (33+), so the maximum preflop raise has the highest expected value.

K3 offsuit falls below the published 4x threshold (K5o+), so checking preflop and reevaluating on the flop is the higher-EV line.

King-high with no pair and only a backdoor flush draw on Qh 9s 2s doesn't meet the flop 2x threshold (hidden pair, two pair+, or flush draw with hidden ten+). Check and reevaluate on the river.

Board pair of twos with K kicker; dealer needs an ace, a Q/9/T, a deuce, or a two-card flush/straight to beat us (~15 single-card outs, under the 21-out fold threshold), so raising 1x is clearly better than forfeiting ante and blind.

2c4c is well below the optimal 4x raising range (no pair, no ace, no qualifying king/queen/jack), so checking preflop and waiting for the flop is correct.

Hidden pair of fours (hole 4 pairs the board) is a standard 2x flop raise in this game; even with a weak kicker, a hidden pair beats most dealer holdings often enough to make raising now better than checking to the river.

J5 suited is below the optimal 4x threshold (J8s+ needed), so checking preflop and reevaluating on the flop is the chip-maximizing play.

Jack-high with no pair and no real draw on a Th Kd 7h board; standard flop strategy is to check and only consider a 1x raise on the river if the hand improves.

Pair of jacks with top kickers; the dealer beats us roughly 45% of the time (A, K, Q, two hearts, two pair), but raising 1x still has a far better EV (around -5 chips) than folding (-20 chips).

K6 offsuit falls within the published optimal 4x range (K5o+), so raising 4x preflop maximizes expected value.

T3 offsuit is well below the optimal 4x raising threshold (needs J8s+/JTo+ for these ranks), so I check and wait to see the flop.

Ten-high with no pair and only a gutshot on a 6-4-2 board does not meet any flop raise threshold; checking preserves the option to fold or raise 1x on the river.

My 3h completes a 2-3-4-5-6 straight on this board, which beats everything except a dealer holding 7-8 or 3-7; clear value raise with blind paying 1:1 on a straight.

Q7 suited falls within the published optimal 4x range (Q6s+), so raising the maximum preflop maximizes expected value.

Any ace is in the published optimal 4x range for Ultimate Texas Hold'em-style play; A6o is a standard 4x raise preflop.

5-2 offsuit is far below the published 4x raising range (no pair, no ace, no strong king/queen/jack), so checking and waiting to see the flop is the EV-maximizing play.

5c2h on 7d-9c-8d gives nothing: no pair, no real draw (only a gutshot to a 6 for a weak straight that would be outdrawn by many dealer holdings). Standard flop strategy is to raise 2x only with a pair or strong draw, so checking and reevaluating on the river is clearly correct.

Bottom pair of deuces on a 7-9-8-2-3 board: dealer fails to qualify roughly 38% of the time (379/990 holdings), which pays +10, while losses cost 30; EV of raising is about -14 chips versus -20 for folding, so raising 1x is the better option.

Pocket sixes (33+) is in the published optimal 4x raise range for Ultimate Texas Hold'em style play, so raising the maximum preflop maximizes expected value.

9-2 offsuit is far below the published 4x raising threshold, so checking preflop and waiting for the flop or river is the EV-maximizing play.

Top pair of nines using a hole card is a hidden pair, which standard flop strategy raises 2x despite the connected board; the dealer needs a straight or better pair to beat it most of the time.

T2 offsuit is well outside the optimal 4x raising range (needs JTo or better for ten-high unpaired), so checking preflop and waiting for flop/river information is correct.

T2 offsuit on a Qs Ks 7d flop gives me no pair, no draw beyond a gutshot (J+A for Broadway? no, I need A-J for T high straight: A-J-Q-K-T needs A and J, a double gutshot is not here—only J and A both). Far below the 2x raise threshold, so check and reevaluate on the river.

Board pair of queens with K, T kickers; dealer always qualifies here. We win roughly 22% of 990 holdings and tie ~5%, so raising 1x (EV ≈ -17.5 chips) beats folding (-20 chips).