Showdown Hold'em table

4c5s offsuit is well below the optimal 4x raising threshold (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking to see the flop is correct.

Flop is Tc 7d Ah with 4c 5s: no pair, no flush draw, only a gutshot (needs a 6 for a straight? actually 4-5 with 7 needs 6 and 3/8 — just a backdoor-ish draw). Far too weak for a 2x raise; check and decide on the river.

My hole cards 4c5s don't play; I only have the board's pair of aces with T-8-7 kickers, so I can never win and only tie if the dealer holds two cards six or lower (~15%). Raising costs 30 chips ~85% of the time (EV about -25), worse than folding for -20.

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

Ace-ten offsuit is in the published optimal 4x range (any ace), so raising the maximum preflop is the highest-EV play.

Pocket sevens are a pair of 3s or better, which falls squarely inside the published optimal 4x raising range for Ultimate Texas Hold'em-style play; raising the maximum preflop extracts the most value from a hand that is a clear favorite against a random dealer holding.

A9 offsuit is any-ace, which is in the published optimal 4x preflop raising range for Ultimate Texas Hold'em style play; raising 4x maximizes EV.

4-3 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.

Holding 4h3d on an A-Q-J board with no pair, no draw, and only backdoor junk, raising 2x would be far negative EV; check and see the river for free.

We hold two pair (fours and threes) on the A-Q-J-4-3 board; only ~106 of 990 dealer holdings beat us (higher two pair, sets, KT/52 straights), so raising 1x is strongly +EV versus folding the ante and blind.

T3 suited is well below the optimal 4x raising range (needs J8s+ or similar), so checking preserves the option to raise 2x on a favorable flop or 1x on the river.

Hidden pair of tens (middle pair) on Jc Tc 4c; standard flop strategy raises any hidden pair, and tens are strong enough to remain a raise even on the monochrome board despite flush risk.

Q5 offsuit is below the published 4x threshold (Q8o+ or Q6s+), so checking preflop and reevaluating on the flop is the higher-EV line.

Q5 with a diamond on a paired K-high board gives me nothing but a weak flush draw and Q-high; standard flop strategy is to raise 2x only with a pair or strong draw, so checking and seeing the river for free is correct.

Board pair of kings with A and my Q kicker; dealer only beats me with an A, K, 9, 7, pocket pair, or QJ/QT (about 50% of holdings), and ties are common, so raising (EV ≈ -7) beats folding (-20).

T7 suited is not in the optimal 4x raising range (needs J8s+ or similar), so I check and wait to see the flop before committing chips.

T7 suited in diamonds on a 4c 3h Jc flop gives us no pair, no draw (only a gutshot-less backdoor), so raising 2x with ten-high is clearly negative; check and reassess on the river.

King-high with no pair on a 4-3-J-2-K board; dealer has well over 21 outs (any pair, ace, queen, flush, straight), so folding beats raising 1x.

5-4 offsuit is well outside the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preserves the option to raise 2x on a favorable flop or 1x on the river.

Flopped a hidden pair of fives on a dry 5-2-T board; standard flop strategy raises 2x with any hidden pair since dealer most often misses, and checking only invites a river 1x or fold spot with worse equity.

T5 offsuit is well below the published 4x raise threshold (no pair, no ace, not K/Q/J-high qualifying combos), so checking preflop and waiting for the flop is optimal.

Hidden pair of tens (hole Tc paired with board Th) on a Q-T-4 board is a standard 2x raise on the flop; the hand is well ahead of the dealer's random range on average.

K2 offsuit is below the published 4x threshold (K5o+ or K2s+), so checking preflop and reevaluating on the flop is the higher-EV line.

K-high with no pair and only a backdoor flush draw on Qs-6h-7s is far below the 2x raise threshold (hidden pair, two pair, or strong flush draw); check and reevaluate on the river.

We hold a king-high flush (K-Q-7-6-4 of spades); only an ace-high flush, straight flush, or full house/quads beats us, so raising 1x is clearly +EV and also pays the 3:2 blind on a win.

8d2d is far below the optimal 4x raising range (not a pair, no ace, no qualifying king/queen/jack), so checking preflop and waiting for flop/river information is the EV-maximizing play.

8d2d on 7h Td 3s is just eight-high with a backdoor flush draw and a gutshot-ish nothing; far too weak to raise 2x on the flop, so check and reevaluate on the river.

Our 8d2d only plays the board pair of threes with an 8 kicker; the dealer always qualifies and beats us with any 9, T, J, Q, K, A, 7, 3 or pocket pair (roughly 87% of holdings), so raising EV is about -24 chips versus -20 for folding.

7-2 offsuit is the worst starting hand and far outside the optimal 4x raising range, so I check and wait to see the flop.

7-2 offsuit with no pair, no draw (only a backdoor diamond flush draw) on J-9-5 is far too weak to bet 2x; checking preserves the option to fold or call 1x on the river.

We play the board (pair of fives, J-9-8 kickers) with no contribution from 2h7d; the dealer beats us with any A/K/Q/J/T/9/8/5 card plus low pocket pairs and 76 (~88% loss, never a win), so raising costs about -26.5 vs -20 for folding.

8-6 offsuit is well below the optimal 4x raising threshold (no pair, no ace, not a strong king/queen/jack hand), so checking and waiting for the flop is the EV-maximizing play.

8h6s on J73 rainbow gives only a gutshot (need a 5... actually 4 or 5 for 7-8 combos? no, 8-high no pair, weak draws); far below the 2x raise threshold, so check and reevaluate on the river.

I only play the board pair of sevens with an 8 kicker; any dealer card 9 or higher, any J/7/3/4, or pocket pairs beat me (well over 21 outs), so calling 1x loses more than folding.

8-3 offsuit is far below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking preflop and waiting for flop/river information is correct.

Holding 3s 8h on a 9h 7c 7h board I have no pair, no made hand, only a gutshot and backdoor flush draw; the flop 2x raise requires roughly a pair or strong draw, so checking and deciding on the river is correct.

My 3s 8h plays nothing on the 9-7-7-A-K board; I can only tie the dealer (when both dealer cards are unpaired 8-or-lower without a flush, ~18%) and never win, so raising 1x costs about -24.5 chips versus -20 for folding.

Any ace is in the published optimal 4x raising range for Ultimate Texas Hold'em style play; A7 offsuit should be raised 4x preflop for maximum EV.

K7 offsuit falls within the published optimal 4x preflop range (K5o+), so raising 4x maximizes expected value.

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

3d9h on a 6h Ks 6s board gives me nothing but a 9-high hand with no draw; flop strategy only raises 2x with a pair or strong draw, so checking and reassessing on the river is correct.

Two pair (sixes and threes, K kicker) wins roughly 52% of the 990 dealer holdings, giving an EV around -2 chips versus -20 for folding, so raising 1x is clearly correct.

6-5 offsuit is well below the optimal 4x raising range (33+, any ace, K2s+/K5o+, Q6s+/Q8o+, J8s+/JTo), so checking to see the flop is correct.

Holding 6-5 offsuit on a paired 9-9-K board with no pair, no draw, and only backdoor straight possibilities, raising 2x would commit chips with a hand that rarely beats the dealer. Checking preserves the option to raise 1x or fold on the river after seeing the full board.

My hole cards don't play; I hold only the board (99KQ7) and can never beat the dealer, only tie when they hold two unpaired cards below 7 (~13%). Raising EV is about -26 chips versus -20 for folding, so fold.

7-2 suited is far below the optimal 4x raising threshold (no pair, no ace, no K/Q/J combos), so check and wait for the flop.

Middle pair of sevens using a hole card (hidden pair) plus a backdoor spade draw; standard flop strategy raises 2x with any hidden pair except pocket deuces, as the dealer often misses or fails to qualify.

K3 offsuit is below the optimal 4x threshold (K5o+), so checking preflop and waiting for flop/river information is higher EV.

King-high with no pair, no flush draw, and only a backdoor straight draw on 8-2-4; flop strategy says check and reevaluate on the river.

K-high with no pair on a dry 8-2-4-5-T board; dealer qualifies ~64% of the time and many non-qualifying hands (any ace, most kings) still beat us, so raising 1x has EV around -20.4 vs -20 for folding.

J2 offsuit is well below the optimal 4x raising threshold (J8s+ or JTo), so checking preflop and waiting to see the flop is the correct play.

J2 offsuit on a 6-8-6 board gives us no pair, no draw, just jack-high; raising 2x here is clearly negative EV, so check and reevaluate on the river.

We hold only the board pair of sixes with a jack kicker; the dealer beats us with any A, Q, K, 8, 6, 3, club, pocket pair, or JT/J9, roughly 86% of holdings, so raising 1x has EV around -23 chips versus -20 for folding.

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

Queen-high with no pair and no real draw on a J-K-3 two-diamond board; standard flop strategy is to check and reassess on the river.

Pair of queens with K-J-9 kickers beats roughly 57% of the 990 dealer holdings (losses mainly to tens, flushes, kings, and two-pair combos), so raising 1x is far better than folding -20.

3-5 offsuit is far below the published 4x raising range; check preflop and wait to see the flop before committing chips.

Only an open-ended straight draw with no pair; standard flop strategy says check draws without a made hand and wait for the river to decide between 1x and fold.

Pair of fives on a 5-6-7-8-A board: any 9, 4, A, 8, 7, or 6 (20 cards) plus overpairs and 5x with high kicker beat me, roughly 75% of dealer holdings. Enumerated EV of raising is about -20.2 chips vs -20 for folding, so folding is marginally better.

Q6 offsuit falls below the optimal 4x threshold (Q6s+ or Q8o+), so checking preflop and waiting for flop/river information is higher EV.

Qh6c on a paired 9-9-5 board gives me nothing but queen high with no draw; standard flop strategy only raises 2x with a hidden pair, two pair or better, or a strong flush draw, so I check and wait to see the river.

Playing the board nines with K-Q-6 kickers; dealer always qualifies here, but we still beat roughly 32% of the 990 dealer holdings (all non-paired, non-ace, non-flush hands with max kicker J or Q-3/Q-4), well above the ~20% break-even for a 1x raise versus folding and losing 20 chips.

J7 offsuit is below the published optimal 4x raising threshold (J8s+ or JTo), so checking and waiting for the flop is the higher-EV play.

J7 offsuit on a 5-Q-9 flop with no pair, no flush draw and only a gutshot to the 8 (T-8 gives a straight) is far too weak to raise 2x; checking keeps the cheaper river option open.

Board pair of queens with J kicker; dealer beats us ~73% of the time (any A, K, Q, 9, 5, 2, pocket pair, or JT/J8), but raising 1x yields EV about -16.8 versus -20 for folding, so raising is the lesser loss.

8-6 offsuit is well outside the optimal 4x raising range (needs pair, ace, K-high, Q8o+, JTo), so checking preflop and waiting for the flop is the EV-maximizing play.

8-6 offsuit on a K-T-4 board with two hearts gives me nothing but a weak gutshot-ish backdoor draw; standard flop strategy only raises 2x with pairs or strong draws, so checking to see the river is correct.

Board pair of 4s with K-T-9 kickers means I can never beat the dealer, only tie (~20% when dealer holds two unpaired cards 8 or lower); raising risks 30 chips to lose ~80% of the time (EV ≈ -24) versus folding for -20.

A9 offsuit is any-ace, which the published optimal Ultimate Texas Hold'em strategy raises 4x preflop for maximum EV.

T4 offsuit is well below the optimal 4x raising threshold (needs JTo, Q8o+, K5o+, any ace, or pairs), so checking preflop and waiting for the flop is the EV-maximizing play.

Flopped two pair (tens and fours) on Tc-4d-9c; this is far stronger than the standard flop raise threshold (two pair or better, even top pair), so betting 2x is clearly +EV despite the flush/straight draws on board.