Showdown Hold'em table

T8o falls below the standard preflop 4x raising threshold (which requires at least JTo, Q8o, K5o, any Ace, or 33+), so checking to see the flop is optimal.

Holding ten-high with no made hand or significant draw on an ace-high board, checking is clearly optimal to see the turn and river for free.

Our only pair is the board pair of fives with mediocre kickers (Ten-Eight), and virtually any dealer holding with an Ace, King, Queen, Jack, paired hole cards, or straight card beats us.

Pocket fives fall within the published optimal preflop 4x raising range (pairs 33 and higher).

Holding 85o, this hand falls well below the standard preflop 4x/3x raising threshold, so checking to see the flop is optimal.

With an open-ended straight draw and eight-high, checking is standard to see the turn and river for free rather than committing a 2x raise.

We have a pair of fives using a hole card, which defeats all non-qualifying dealer hands and gives positive expectation over folding.

K9o is well above the threshold of K5o+ for an optimal preflop 4x raise.

9-3 offsuit is well below the preflop 4x raising threshold, so checking is the mathematically optimal play.

Holding 9-high with no pair or draw on an A-J-7 rainbow flop gives negligible equity, making checking the clear choice.

Holding a pair of threes beats all non-qualifying dealer hands, which occur over 40% of the time and yield a positive return on the 1x play bet.

Pocket jacks are well above the optimal preflop 4x raise threshold of 33+ pairs.

9h-6h does not meet the standard 4x preflop raising threshold (33+, any Ace, K2s+, K5o+, Q6s+, Q8o+, J8s+, JTo), so checking to see the flop is standard.

Flopped top pair of sixes; standard optimal play bets 2x with top pair or any qualifying hidden pair on the flop.

Q4o falls below the standard preflop 4x raise threshold of Q8o+, so checking to see the flop is optimal.

I flopped top pair with Queens, which has plenty of equity against the dealer's random distribution to comfortably raise 2x.

T3o is well outside the standard preflop 4x raising range, so checking to see the flop is optimal.

Ten-high with minimal equity and no made hand does not warrant committing a 2x play bet on the flop; checking to see the rest of the board for free is optimal.

The board is paired with Queens so the dealer always qualifies, and our Ten kicker wins far less than the required 20% equity against the dealer's distribution.

J4o falls well below the preflop raising threshold (J8s+, JTo), so checking to see the flop is optimal.

With J-high and only weak runner/gutshot possibilities on a Queen-Ten board, checking is significantly higher EV than committing a 2x raise.

The board is paired with queens so the dealer always qualifies, and with only a jack kicker our one-pair hand loses to any pocket pair, any board pair, or any ace/king kicker, making folding higher EV than risking a 1x play bet.

Holding 5-3 offsuit is far below the threshold for a preflop 4x raise, so checking to see the flop for free is optimal.

With only five-high and minimal draw potential on a Kc-7d-8s board, checking is clearly optimal to see the turn and river for free.

I am playing the board with a pair of eights and a king kicker, meaning I can never beat the dealer and can only tie if the dealer holds low un-paired cards. Since the probability of a tie is well below the 33.3% required to justify risking an additional bet, folding minimizes expected loss.

Ace-Queen offsuit is well within the optimal preflop 4x raising range, which includes any Ace.

T2o does not meet the standard preflop 4x raising threshold, so checking to see the flop is optimal.

With Ten-high and no significant draw on a paired 9-9-3 board, checking is standard to see the turn and river for free.

With only a board pair of nines and a ten kicker, any dealer ace, king, queen, pair, or board connection beats us, leaving our win equity well below the 20% required to justify the river call.

Ace-King offsuit is a premium starting hand that clearly falls within the optimal preflop 4x raise range.

6-4 offsuit does not meet the minimum threshold for a preflop 4x raise, so checking to see the flop is optimal.

With only a gutshot straight draw and six-high, checking is the clear optimal play to see the turn and river for free.

We have a pair of sixes using our hole card, which beats all dealer non-qualifying holdings and lower pairs. Raising 1x has a significantly higher expected value than folding.

J5o does not meet the preflop 4x raise threshold, so checking to see the flop for free is optimal.

Top pair of jacks on a dry board has substantial equity against the dealer's random distribution, making raise_2x the clear value play.

Any Ace is an optimal 4x raise preflop against the house dealer.

KJo falls comfortably within the standard preflop 4x raising range (K5o+).

Q6o does not meet the optimal 4x preflop raising threshold (which requires Q8o+ or Q6s+), so checking to see the flop is standard.

Holding only queen-high with an inside straight draw, there is insufficient equity to justify a 2x raise on the flop, so checking to see more cards for free is optimal.

With a board pair of eights, the dealer qualifies automatically, requiring roughly a 21% win rate to raise. Our Queen kicker against unpaired holdings under a Jack gives us well over 30% equity, making raise_1x clearly profitable over folding.

T2o is well below the standard preflop 4x/3x raising threshold, so checking to see the flop is optimal.

Holding ten-high with only a 2-high flush draw and a gutshot straight draw on a coordinated flop does not warrant a 2x raise, so checking to see more cards for free is optimal.

I hold an ace-high flush with the 2c on a four-club board, which beats any dealer holding without a club (over 67% of possible dealer hands).

Q2o is below the standard preflop raising threshold of Q8o+, so checking is the mathematically optimal play.

With only queen-high on an paired ace-high flop, there is not enough equity to justify a 2x raise. Checking to see the turn and river for free is optimal.

The board provides two pair (Aces and Fours) with our Queen kicker playing. Since dealer must beat our Queen kicker to win, we beat all dealer unpaired hands Jack-high and lower, yielding a significantly higher expected value than folding.

Standard preflop strategy calls for a 4x raise with any Ace, including A6 offsuit.

7c 4c does not meet the preflop 4x raising threshold, so checking to see the flop is optimal.

With a seven-high flush draw, we lack the required rank (ten or better) to justify a 2x flop raise, so taking a free card by checking is optimal.

We made an ace-queen high club flush on the river, which easily beats the vast majority of the dealer's range, so making the 1x play bet is clearly optimal.

98 offsuit is below the standard preflop 4x raising threshold, so checking to see the flop is optimal.

Flopped a jack-high straight with 8-9 on J-T-7, which is a very strong hand easily justifying the 2x raise on the flop.

Pocket sevens fall well within the standard preflop 4x raise range (33+), maximizing expected value against the dealer.

Q7o does not meet the preflop 4x raise threshold of Q8o+ or Q6s+, so checking is optimal.

With only queen-high and weak backdoor potential on a 9-5-4 board, checking to see the turn and river for free is optimal.

With only queen-high on an uncoordinated river board, we lose to any dealer pair or higher unpaired hand, making a 1x bet clearly negative EV compared to folding.

KQ offsuit falls well within the standard preflop 4x raising range (K5o+).

65s does not meet the preflop 4x raising threshold, so checking to see the flop is optimal.

With an open-ended straight flush draw (12 outs to a flush or straight, including a straight flush out with the 8 of spades), we have huge equity against the dealer's random range and must raise 2x.

T9o falls outside the optimal preflop 4x raising range, so checking to see the flop is the best EV play.

Flopped top two pair (Tens and Nines), which is a clear value raise for 2x ante.

9c-5d is unsuited and weak, well below the published threshold for a preflop 4x raise. Checking to see the flop is optimal.

With only nine-high and no pair or strong draw on an Ace-Queen high board, checking is standard to see the remaining cards for free.

With only Ace-high and no pair or flush on a coordinated board, we beat almost none of the dealer's qualifying or non-qualifying range, making folding clearly higher EV than risking an extra bet.