Showdown Hold'em table

T8 offsuit is not in the optimal 4x raising range (needs JTo or better for unpaired non-ace/king hands), so checking to see the flop is correct.

T8 offsuit on a 6-A-5 rainbow flop gives me nothing but a gutshot (7) and overcard-less high card; standard flop strategy is to raise 2x only with a pair or better or a strong draw, so checking and seeing the river for free is correct.

Our T8 only plays as a kicker over the board's A-5-5; the dealer beats us with any J, Q, K, A, T, 8, 6, 5, 4, any pocket pair, or a straight (29+ outs), leaving roughly 6% equity. Raising risks 30 to win 30 at ~6% (EV about -26) versus folding at -20, so folding is correct.

Pocket 55 is in the published optimal 4x raising range (33+), so raising the maximum preflop is +EV.

8-5 offsuit is far below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking to see the flop is correct.

Only an open-ended straight draw with no pair on a K-high board; standard flop strategy checks draws and raises only with hidden pairs, two pair+, or strong flush draws, so I check and decide on the river.

Bottom pair of fives with 8 kicker on K-T-7-6-5; dealer beats us ~57% of 990 holdings, but raising 1x (EV ≈ -12 chips) is still better than folding (-20).

K9 offsuit falls within the published optimal 4x range (K5o+), so raising 4x preflop maximizes expected value.

9-3 offsuit is well outside the optimal 4x raising range (no ace, no pair, not a strong king/queen/jack hand), so checking to see the flop is correct.

3h 9s on Ah Js 7c gives nothing: no pair, no draw, and only backdoor junk, so a 2x raise here is far below the raise threshold. Checking preserves the river decision where I can fold or bet 1x based on the final board.

Pair of threes with A-Q-J kickers: enumeration gives roughly 42% wins (mostly vs non-qualifying dealer), 5% ties, 53% losses, for an EV near -11.7 chips, which beats folding's certain -20.

Pocket jacks are a premium pair well inside the optimal 4x raising range (33+), so maximizing the play bet preflop has the highest expected value.

9h6h is not in the optimal 4x raising range (no pair, no ace, not K/Q/J high suited or offsuit qualifiers), so checking preserves the option to raise 2x on a favorable flop.

Hidden pair of sixes with a nine kicker is marginal on a monotone club board with straight possibilities and we hold no club; dealer flush/straight equity is substantial, so checking preserves the river option to raise 1x on a safe runout or fold if a fourth club or five arrives.

Pair of sixes on a four-club board is weak (dealer beats us roughly 60% of the time, mostly via any club), but raising 1x still loses less than the guaranteed -20 from folding: EV ≈ -13 vs -20.

Q4 offsuit is below the published 4x threshold (Q6s+ or Q8o+), so checking preflop and deciding later with more information is optimal.

Top pair of queens using a hole card is a standard 2x flop raise; the monotone board adds flush risk for the dealer but a hidden pair still has positive raise EV versus checking.

T3 offsuit is well below the optimal 4x raising range (needs J8s+/JTo or better for non-ace, non-pair hands), so checking preflop to see the flop is correct.

Tc3d on a 6d 4s Qs flop gives no pair, no draw, and only ten-high; this is far below the standard flop raise threshold (pair or strong draw), so checking and waiting for the river is correct.

Board QQ with my T kicker: dealer wins with any A/K/J/Q, any pair, spade flush or 5-3/5-8 straight, leaving me winning only ~11% of 990 holdings and tying ~3%. Raising 1x costs more than folding (-23.6 vs -20 chips EV), so fold.

J4 offsuit is below the published 4x threshold (J8s+ or JTo), so checking preflop and waiting for the flop/river is the higher-EV line.

J4 offsuit on 7c Qc Th gives only a gutshot to a king with no pair and no flush draw; standard flop strategy is to raise 2x only with a pair or better or strong draws, so checking and deciding on the river is correct.

Board queens with a jack kicker; the dealer always qualifies, and enumeration gives roughly 210 wins, 64 ties, 716 losses of 990 — raising 1x costs about -17.5 chips vs -20 for folding, so raise is marginally better.

3-5 offsuit is far below the optimal 4x raising threshold (33+, any ace, K2s+/K5o+, etc.), so checking preserves the option to raise 2x on a favorable flop or 1x on the river.

With 3d5h on Kc7d8s we have only a gutshot (need a 6 for 4-5-6-7-8... actually 4 and 6 both needed, so just backdoor nothing) and no pair; standard flop strategy says check without a pair, draw, or strong overcards and reevaluate on the river.

My 3-5 doesn't play; I hold the board (8s with K kicker), so I can only tie or lose, but roughly 45% of dealer holdings (448/990) merely tie while ~55% beat me. Raising costs 30 x 0.55 ≈ 16.4 chips expected versus a sure 20 lost by folding, so calling is the lesser loss.

AQ offsuit is a clear 4x raise per the optimal preflop strategy (any ace raises 4x); maximizing the play bet with a strong edge maximizes EV.

T2 offsuit is far below the optimal 4x raising range (needs 33+, any ace, K5o+, Q8o+, JTo), so checking preflop and waiting for the flop/river decision is correct.

T2 offsuit on a 9-9-3 paired board gives us nothing but ten-high with no draws; the standard flop strategy is to raise 2x only with a pair that uses a hole card, trips, or a strong draw, so checking and waiting for the river is correct.

I hold only the board pair of nines with T kicker; dealer always qualifies and beats me with any A/K/Q/J/9/8/3, any pocket pair, or T7 straight (~81% of 990 holdings, ~15% win). Raising EV ≈ -21.4 chips vs folding -20, so fold is marginally better.

AK offsuit is a premium hand well within the optimal 4x raising range (any ace), so raising the maximum preflop maximizes EV.

4-6 offsuit is far below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preflop and waiting to see the flop is correct.

Holding 4d6c on a 3d-Qh-Jd flop I have only a backdoor flush draw and a gutshot-ish nothing; far below the flop raise threshold (pair, flush draw, or strong draw), so I check and see the river for free.

Pair of sixes on a K-Q-J three-diamond board is weak, but it still beats all non-qualifying dealer hands; enumeration gives raise EV around -0.7 ante versus -2 for folding, so raising is clearly correct.

J5 offsuit is below the published 4x threshold (J8s+ or JTo), so checking preflop and reevaluating on the flop is the higher-EV line.

Top pair of jacks on a dry 4-3-J board with a weak kicker is still a standard 2x flop raise in Ultimate Texas Hold'em strategy (any pair using a hole card, plus a gutshot to boot); checking here leaves value on the table.

Any ace is a 4x raise per the optimal preflop strategy for Ultimate Texas Hold'em-style play; A3o has positive expectation raising the maximum preflop.

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

Q6 offsuit is below the published 4x threshold (Q8o+ offsuit, Q6s+ suited), so checking preflop and reevaluating on the flop is the higher-EV line.

Q6 offsuit on 8s Kd 5d gives queen high with no pair and no meaningful draw; standard flop strategy is to check and reevaluate on the river.

Board pair of 8s with K-Q-J kickers; dealer always qualifies, but roughly 23% wins plus ~7% ties against ~70% losses gives raise EV about -16.6 chips versus -20 for folding, so calling 1x is the lesser loss.

T2 offsuit is well below the optimal 4x raising range (needs JTo or better for unpaired T-high), so check and see the flop.

Four to a flush but my hidden club is only the deuce, so any dealer club beats my flush, and I have no pair; standard flop strategy says check and reevaluate on the river.

I hold a flush (2c with four clubs on board); dealer beats me only with any of the 8 remaining clubs (~33%), so raising 1x is far better than folding and loses only ante+blind otherwise.

Q2 offsuit is below the published 4x threshold (Q8o+ or Q6s+), so checking preflop and waiting to see the flop is the higher-EV line.

Q2o on A44 gives only the board pair with a queen kicker; standard flop strategy requires a hidden pair, two pair or better, or a strong flush draw to raise 2x, so check and reevaluate on the river.

Board plays AA44 and my Q kicker beats roughly 44% of dealer holdings (dealer needs A, 4, 6, K, or a club flush to beat me); raising 1x loses about 5 chips in expectation versus 20 for folding.

Ace-six offsuit is in the published optimal 4x range (any ace), so raising the maximum preflop is +EV against the dealer.

7c4c is outside the published optimal 4x raise range (needs 33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preflop and waiting for the flop is higher EV.

Four to a flush but both hidden cards are low (7c 4c) with no pair; standard flop strategy only raises a flush draw with a hidden ten or better, so checking and deciding on the river is higher EV.

I hold a flush (Ac Qc 9c-less: 7c 4c with Ac Qc 6c on board) which beats nearly all dealer holdings except higher flushes with Kc/Jc/Tc/8c; raising 1x is clearly +EV and the blind pays 3:2 on a win.

8s9c offsuit is not in the optimal preflop 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking to see the flop is correct.

Flopped a jack-high straight (7-8-9-T-J) with 8s9c on Jd Td 7d; despite the monotone board the made straight is a large favorite against the dealer's random holding, so raising 2x now is far better than checking.

Pocket sevens is a pair 33+, which the optimal strategy table says to raise 4x preflop for maximum EV.

Q7 offsuit is below the published 4x threshold (Q8o+ or Q6s+), so checking and waiting for the flop is the higher-EV line.

Q7 offsuit on a 9-5-4 two-tone board gives me no pair, no draw beyond a gutshot-ish backdoor, so the flop 2x raise is clearly negative; standard strategy is to check and reevaluate on the river.

Queen-high with no pair on a J9543 board with three hearts; the dealer beats us with any pair, any A or K, flushes and straights, well over 21 outs, so raising 1x costs more in expectation than folding.

KQ offsuit is well within the optimal 4x raising range (K5o+), so raising the maximum preflop maximizes EV.

5s6s is not in the optimal 4x raising range (needs 33+, any ace, K2s+, Q6s+, J8s+), so checking preflop and waiting for the flop is the higher-EV line.

Combo flush + open-ended straight draw with 5s6s hits about 45% but the hole cards are low, so when we miss we almost never beat even an unqualified dealer; standard flop strategy raises only flush draws with a hidden ten or better, so checking and deciding on the river is better.

I hold a flush (5s 6s with Ts 7s Qs on board), beaten only by a higher flush with a single spade of J/K/A or two spades; raising 1x is clearly +EV versus folding, with a 3:2 blind bonus on a win.

T9 offsuit is not in the optimal 4x raising range (needs JTo or better for unpaired non-ace/king hands), so checking to see the flop is correct.

Flopped top two pair (tens and nines) on a 9h 2h Th board; despite the flush draw risk, two pair is a strong hand with a clear edge over the dealer's random holding, so raising 2x is +EV.

9-5 offsuit is far below the optimal 4x raising range (not in 33+, Ax, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking to see the flop is correct.

9c5d on 6d-Qc-Ac gives only nine-high with a backdoor flush draw and no pair; raising 2x here is clearly -EV, so check and reassess on the river.

Ace-high with no pair on a three-club board; dealer beats us with any pair, flush, or J/T kicker. Enumeration gives raising about -21.4 chips vs -20 for folding, so fold is marginally better.