Showdown Hold'em table

KJo offsuit is within the published 4x preflop raising range (K5o+), so raising 4x maximizes EV versus checking.

6-7 offsuit is well below the 3x/4x raising range (needs K5o+ or better), so checking to see a free flop is optimal.

6h7s on Qs8s3d is only a gutshot (4 or 9) with a weak pairless hand; raising 2x here is well below the required equity, so checking and deciding on the river is better.

I hold a made 8-high straight (4-5-6-7-8), which beats most dealer holdings; raising 1x is clearly correct over folding.

Any ace is in the published 4x preflop raise table; A5o qualifies.

Q7o falls below the published 4x/3x raising range (needs Q8o+), so checking and deciding on the flop is optimal.

Pair of queens on the flop is well above the 2x raise threshold; raising maximizes EV versus the dealer's range.

95o is far below the 4x/3x raising range, so checking to see a cheap flop is optimal.

9-high with no draw on a J-high board; raising 2x would risk 20 more chips with little equity, so checking and deciding on the river is better.

My pair of nines is a solid river bluff-catcher; the dealer must hold a better pair to beat me, and raising 1x collects an extra bet from the many unqualifying/lower hands while losing nothing extra I wouldn't already lose.

62o is far below the published 4x/3x raising range (33+, any ace, K2s+, etc.), so checking to see a cheap flop is clearly best.

6-high with no draw on a T93 board has almost no equity; raising 2x would be a large losing bet, so check and decide on the river.

My best hand is only the board's pair of threes with a queen kicker; the dealer pairs up far too often and usually outkicks or outpairs me, so raising 1x is worse than folding and saving the extra 10.

J5o is too weak for the 4x/3x preflop raise table (needs JTs or J8s); checking keeps the flop option open and minimizes risk.

J5o with no pair or draw on a dry 8-7-4 flop is far too weak to risk 2x; checking preserves the option to fold cheaply on the river if the board doesn't improve.

My pair of fives beats all dealer non-pair holdings (~46% chance), plus dealer 44; raising needs only ~17% win equity to beat folding, so raising is clearly better than surrendering 20 chips.

Ace-queen offsuit is well above the published 4x raise threshold (any ace), so raising 4x preflop maximizes EV versus checking.

QTo suited is well inside the optimal 4x raising range (Q6s+), so betting four antes maximizes EV versus checking.

J9o misses the published 3x/4x raising range, so checking to see the flop is optimal.

Top pair of jacks with a decent kicker is well ahead of the dealer's qualification range; raising 2x here is clearly +EV versus checking.

6s7h is below the published 3x/4x raising range, so check and reassess on the flop.

6s7h is only a low pair on a K76 board with little equity; raising 2x has negative EV, and checking keeps the option to continue on the river for 1x if the turn helps.

A pair of sevens is a made hand that beats all dealer non-pair holdings; with ante and blind already committed (a fold loses 20), a 1x raise is clearly better than folding.

J7 offsuit is well below the published 3x/4x raising range, so checking to see the flop is optimal.

J-high with no pair and no strong draw; raising 2x here is far -EV, so I keep the option to fold cheaply on the river if the board doesn't improve me.

The board gives me a pair of aces (A-high board pair with J kicker), so folding is far too tight; raising 1x keeps the ante/blind live with decent showdown equity.

J9 offsuit is not on the published preflop raise table (needs J8s or JTo), so checking and deciding on the flop is optimal.

J9o unimproved on a K-high board has little equity; raising 2x with a likely losing hand is -EV, so check and reassess on the river.

I hold a king-high flush (Kh-Qh-9h-5h-2h with 9h in hand), which beats every dealer hand except an ace-high flush; raising 1x is far better than folding a near-certain winner.

4c5c is far below the 3x/4x raising range (33+, any ace, K/Q/J suited requirements), so checking keeps the ante at risk with flop raise option.

4-5 with a paired king board gives almost no equity; raising 2x would be a large losing bet, so check and let the river decide cheaply.

My 4c5c makes a full house (444+K) on the K-4-4-7-3 board; I only lose to dealer 44 and tie K4, beating everything else, so raising 1x is clearly correct.

Any ace is a standard 4x raise preflop; AJs has strong equity against the dealer's qualifying range.

9s5h offsuit is far below the 3x/4x raising range (needs K5o+, any ace, or a pair), so checking to see a free flop is optimal.

Middle pair is only second pair with 95; 2x flop raises should be saved for第四+ pair or strong draws. Checking lets the river raise_1x/fold decision decide with full information.

My trips nines beat the dealer roughly 86% of the time; only a dealer 9, pocket jacks-plus, or a T6/T7 straight beats me, so raising 1x is far better than folding.

K4o falls just below the published 3x/4x raising range (K5o+), so checking and deciding on the flop is optimal.

King-high with no draw (backdoor only) is far too weak to invest 2x on the flop; checking preserves the cheaper river decision where K-high can win unpaired dealer hands.

My K-high beats the ~70% of dealer holdings that miss (unpaired non-A/K or worse), and raising risks only 10 more than folding; folding surrenders ante+blind, so a 1x raise is clearly plus-EV.

ATo offsuit meets the published 4x preflop raise criteria (any ace), which maximizes EV by punishing dealer non-qualifiers and weak holdings.

T4o offsuit is far below the published 3x/4x raising range, so checking keeps the ante at risk with a weak hand and preserves river options.

4s-Td on 5s-6h-Jd has only a weak double-gutshot and no pair; raising 2x here is -EV, so check and reassess on the river.

A-high (board plays A-J-8-5-4 for me, no pair) barely ever beats the dealer, and the river is fold-or-1x: raising adds a bet with almost no win equity, so folding (-20) is better.

95o is well below the published 3x/4x raising range, so checking to see the flop is optimal.

9-high with no pair on a T34 board has essentially no equity against a dealer pair; folding a checked hand isn't an option, so checking and deciding on the river is best.

Dealer always qualifies off the board pair of tens. I win only when the dealer's hole cards fail to improve (both ≤8, ~33%), so raising 10 risks 30 to win 20: EV ≈ −13.5 chips vs −20 for folding.

J2 offsuit is far below the published 4x/3x raising range, so checking keeps the ante and blind in play with minimal risk.

J-high only with a paired ace on board giving the dealer likely qualifying ranges; raising 2x here is far -EV, so check and re-evaluate on the river.

J-high with no pair cannot beat a qualifying dealer hand often enough; folding saves the 10-chip play bet.

2s5s is far below the 3x/4x raising range (needs K-high or better); checking keeps the ante/blind at minimal risk and lets the flop decide.

2s5s on 7s4cJs is a weak hand with little equity against a qualifying dealer; no value in raising 2x.

I hold a flush (5-high in spades), which beats the dealer's likely holdings often enough that raising 1x is far better than folding; folding would forfeit a made flush.

J2 offsuit is well below the published 3x/4x raising range, so checking to see a flop is optimal.

J-2 offsuit on an A-6-3 board has almost no showdown value and raising 2x would risk 20 more chips with a hand that rarely beats the dealer's pair-or-better range. Checking keeps the river fold option open.

I hold top pair of jacks with an ace kicker; many dealer holdings miss a pair, so raising 1x has positive EV versus folding away the ante and blind.

QJo does not meet the published preflop raise criteria (needs Q8s+ or Q8o+); checking keeps blinds risk low and preserves flop raise options.

JQo on T-4-5 gives an open-ended straight draw plus two overcards; this is a standard 2x flop raise, and checking would leave a marginal river fold/raise decision.

4-8 offsuit is far too weak to raise; folding surrenders the ante and blind, so checking and deciding later is best.

With 84 on a paired board I have almost no equity; raising 2x would be a large losing bet, so I check and only put in 1x on the river if the board improves me.

I hold two pair (tens and fours), which beats the dealer's pair-or-better qualifying threshold most of the time; raising 1x to keep the play bet live is far better than folding a made hand.

Any ace is in the published 4x preflop raise range; A7o has strong equity against the dealer's pair-or-better range.

9-8 offsuit is well below the published 3x/4x raising range, so checking to see a cheap flop minimizes risk.

9-high with no pair on A66; raising 2x would risk 20 more chips with little equity, so I keep the river raise-or-fold option and can fold cheaply if the dealer likely pairs.

I hold two pair (aces and sixes) using the board; folding surrenders 20 chips for sure, while a 1x play bet wins often against dealer holdings below two pair.

Ten-deuce suited is far below the published 3x/4x raising range (needs Q6s+ or better), so checking keeps the ante and blind at minimum risk with a weak hand.

Td2d on J-8-9 has only a weak double-gapped straight draw and backdoor flush; raising 2x here is far too thin, so check and evaluate on the river.

My best hand is only jack-high; the dealer pairs the board or holds a pair often enough that a 1x raise rarely turns a profit, so folding to save the extra play bet minimizes loss.

J5o is well below the published 3x/4x raise threshold (K5o+), so checking and evaluating on the flop minimizes expected loss.

J5 high with no real draw on T44 is far too weak to raise 2x (20 at risk vs dealer's pair-heavy range); checking keeps the option to fold cheaply on the turn/river rather than committing more.

Jack-high with no pair on a paired board; raising 1x risks 10 more chips with almost no chance of beating a dealer pair, so folding saves the extra bet.

K3o falls below the published 4x/3x raising range (K5o+), so checking and deciding on the flop minimizes risk with this weak king-high hand.

K-high with no spade on a three-spade board is far too weak to put 2x at risk; check and make the river decision with full information.

The board itself is a royal flush in spades, so my best hand is a royal flush and the dealer's best five is the same board royal — every outcome is a tie that pushes. Raising returns my bets, while folding forfeits 20 chips.