Showdown Hold'em table

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

Jack-high with no pair, no flush draw and only a double gutshot requiring two cards; standard flop strategy says check and reevaluate on the river.

Jack-high with no pair on a 9-5-7-K-8 board; the dealer beats us with any pair (15 outs), any 6 for a straight, or any A/Q, far more than the ~21-out threshold, so folding loses less than raising.

9-3 offsuit is well outside the optimal 4x raising range, so checking preflop and waiting to see the flop is correct.

9-high with a gutshot (3-4-2 needs a 5 for a wheel... actually 2-3-4 needs 5 for a straight) and no pair; far too weak to raise 2x on the flop, so check and decide on the river.

Ten-high with no pair on a board where any high card, any board pair, hearts and multiple straights beat us; the dealer has far more than 21 outs so folding loses less than the 1x raise.

K5 suited is in the published optimal 4x raising range (K2s+), so raising the maximum preflop maximizes expected value.

JTs is in the published optimal 4x range (J8s+), so raising 4x preflop maximizes EV.

K4 offsuit is below the published 4x threshold (K5o+ required), so checking preflop and reevaluating on the flop is the higher-EV line.

K4o with no pair, no draw on an A-high board; standard flop strategy is to check and wait for the river decision.

Board gives me aces and threes with a king kicker; dealer needs an ace, three, seven, pocket pair or diamond flush to beat me, which is roughly half the holdings, so a 1x raise is far better than folding.

5-3 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.

Hidden pair of fives (hole card paired with the board) is a standard 2x raise on the flop per optimal strategy; our hand is ahead of a random dealer holding often enough that betting more now beats waiting for a 1x river bet.

9-7 offsuit is well outside the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preflop and seeing the flop is the correct play.

Hidden pair of sevens (7d pairs the board) qualifies under standard flop strategy for a 2x raise; middle pair on a dry A-7-3 board is a favorite against a random dealer holding.

J3 suited is below the optimal 4x threshold (J8s+), so checking preflop and waiting to see the flop is the higher-EV play.

Hidden bottom pair (3s with 3d) plus jack kicker against a random dealer holding is a standard 2x raise on the flop per optimal strategy; raising now captures value before the dealer can improve on later streets.

KQ offsuit is a clear 4x raise under the optimal preflop strategy (K5o+ raises); raising the maximum preflop maximizes EV with a strong unpaired hand.

J6 offsuit is below the published 4x threshold (J8s+ or JTo), so checking preflop and waiting for the flop is the higher-EV line.

Flopped a hidden pair of sixes with a jack kicker on a dry 6-8-2 board; standard flop strategy raises 2x with any pair made using a hole card, and this holds positive expectation versus a random dealer hand.

T9 offsuit is not in the optimal 4x raising range (needs JTo+ or suited J8+), so checking preflop and reevaluating on the flop is the EV-maximizing play.

No pair and only a runner-runner straight draw on a paired board; standard flop strategy says check and reevaluate on the river.

Board 7-7-7-Q-9 with my 9-T gives sevens full of nines; dealer only beats me with a 7, a Q, or TT+ (roughly 19% of holdings), so raising 1x is far better than folding and the blind pays 3:1 on the full house.

J6 suited is below the published 4x threshold (J8s+), so checking preflop and deciding on the flop is the higher-EV line.

Jack-high with only a backdoor flush draw on a paired Q-Q-4 board; no pair, no four-flush, so the standard flop strategy says check and wait for the river.

Trips queens with K-J kickers; dealer always qualifies but we win about 420 of 990 holdings, tie 93, so raising (EV ≈ -6 chips) beats folding (-20 chips).

5c4d offsuit is far below the optimal 4x raising range (no pair, no ace, weak connectors), so checking preserves the option to raise 2x on a favorable flop or 1x on the river.

Hidden middle pair of fives (hole card pairs the board) plus backdoor straight and flush draws; standard flop strategy raises 2x with any hidden pair except pocket deuces, as it is a favorite against random dealer holdings.

Pocket aces are the strongest possible preflop holding and well inside the optimal 4x raise range (33+), so maximizing the play bet now has the highest expected value.

Ace-jack offsuit is well inside the published optimal 4x raising range (any ace), so raising the maximum preflop maximizes expected value.

Q5 offsuit is below the published 4x threshold (Q8o+ needed), so checking preflop and seeing the flop is the optimal play.

Four to a flush with a hidden queen of clubs (Qc with Kc 9c on board) meets the standard flop 2x raise threshold; the flush draw plus queen high outs make raising here +EV versus checking.

A7 offsuit is any ace, which is in the published optimal 4x raise table for Ultimate Texas Hold'em style play; raising 4x maximizes EV.

8-2 offsuit is far below the published 4x raising range, so checking preflop and waiting for flop/river information is optimal.

Top pair of eights using a hole card is a hidden pair, which the flop strategy says to raise 2x; dealer sees only the board pair-less texture and we are well ahead of a random holding.

8-3 offsuit is far below the published 4x raising range (no pair, no ace, no broadway combo), so checking to see the flop is the optimal play.

3s8d on 5c-6h-2c is just a gutshot (4) and no pair; the standard flop strategy raises only with a pair or better, four to a flush, or a strong draw, so checking keeps the option to decide on the river.

I only play the board's pair of deuces with an 8 kicker; the dealer always qualifies here and beats me with any 9+ card, any pair, or a 3-4 straight, so I win only ~3% of 990 holdings. Raising 1x has EV around -27.6 chips versus -20 for folding, so fold.

7-5 offsuit is far below the optimal 4x raising range (no pair, no ace, no strong king/queen/jack combo), so I check preflop and wait for the flop or river to decide.

7-high with only a gutshot (4-6) on a J-8-2 board is far too weak to bet 2x on the flop; checking keeps the option to make or fold on the river.

Pair of sevens with J-8-6 kickers wins against roughly 55% of dealer holdings (dealer needs 8+, two pair, flush or straight to beat us), far above the fold threshold since folding forfeits 20 chips for certain.

Pocket deuces are below the published 4x threshold (33+); 22 is a marginal check preflop, so I defer and reassess on the flop for a 2x raise if I hit a set or the board is favorable.

Pocket deuces on an A-T-5 two-club board is the weakest possible pair; any dealer pair beats us and the published flop strategy specifically excludes pocket deuces from the 2x raise. Check and reevaluate on the river.

My 22 is counterfeited; I'm effectively playing the board (AATT5) and can never beat the dealer—only tie if they hold two low cards. Raising risks 30 chips with ~93% chance to lose, so folding for 20 is cheaper.

J6 suited is below the optimal 4x threshold (J8s+), so checking preflop and waiting for the flop is the higher-EV line.

J6 with only the board pair of deuces and no hidden pair, no flush draw (only two clubs), and no straight draw; standard flop strategy is to check and reassess on the river.

We hold jacks up (JJ22 with a six kicker) on a paired board; this beats the vast majority of the dealer's 990 holdings, so the 1x raise is clearly +EV versus folding the ante and blind.

K3 offsuit falls below the published 4x threshold (K5o+ or K2s+), so checking and waiting for flop/river information is the higher-EV line.

Top pair of kings plus a four-card flush draw on the flop is well above the standard 2x raise threshold (top pair or better), so raising now has clearly positive EV versus checking.

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

T9 offsuit on a 2-Q-7 rainbow board gives us no pair, no draw beyond a weak gutshot; standard flop strategy only raises 2x with a pair or strong draw, so checking keeps the option to evaluate on the river.

Pair of tens (second pair with Q kicker) on a dry-ish board is well ahead of most of the dealer's 990 holdings; raising 1x risks only 10 more chips versus forfeiting 20 by folding.

KJ suited is well within the optimal 4x preflop raising range (K2s+), so raising the maximum now maximizes expected value.

T9 suited is not in the published optimal 4x range (needs J8s+ or better for jacks, and tens aren't listed), so checking preflop and waiting for the flop is correct.

T9 of hearts on 7h 2c 3c gives no pair, no flush draw, only a backdoor straight draw, far below the 2x raise threshold; check and reevaluate on the river.

Board is double-paired (77 33) so my hand is two pair with a T kicker; I only beat dealer holdings of two unpaired cards 9 or lower (about 201/990 ≈ 20%) and tie with T-x, but with ties pushing the EV of raising 1x (≈ -17.8) edges out folding (-20).

JTs is in the published optimal 4x range (J8s+), so raising the maximum preflop is the highest-EV play.

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

Flopped a hidden pair of eights with a jack kicker on K-8-7; standard flop strategy raises 2x with any hidden pair (except pocket deuces), as it is a clear favorite against a random dealer holding.

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

Q2 offsuit on a 4-8-6 rainbow board gives me no pair, no draw beyond a gutshot-less queen high; standard flop strategy says only raise 2x with a pair or strong draw, so I check and see the river for free.

Board pair of eights with K-Q-6 kickers; dealer always qualifies. Enumerating 990 dealer holdings, we win about 28% and tie 3%, giving EV(raise) ≈ -15 chips vs -20 for folding, so raising 1x is the better choice.

QJ offsuit is in the published optimal 4x range (Q8o+), so raising the maximum preflop is +EV versus checking.