Solver answer

Aces on a wet T♥ 9♥ 4♣ flop: bet or check?

6-max cash, 100 big blinds · Cutoff opens, big blind calls · Flop T♥ 9♥ 4♣ · Big blind checks · Cutoff to act

Updated

The solver's answer

Check 52% Bet 48%

  • ⅓ pot · 1.7 bb 1%
  • ½ pot · 2.55 bb 12%
  • ¾ pot · 3.8 bb 32%
  • 1¼ pot · 6.4 bb 3%
  • All-in · 97.7 bb 0%

A♦A♣ checks about half the time, and when it bets it mostly bets three-quarters of the pot.

T♥9♥4♣
A♦A♣ You
Pot
5.1 bb
Behind
97.7 bb
Big blind
Checks

In a 6-max cash game at 100 big blinds, after the cutoff opens to 2.3 bb and the big blind calls, then checks a T♥ 9♥ 4♣ flop, the cutoff checks A♦A♣ 52% of the time and bets it 48%, according to a solver answer published free by Poker Skill. Its bets: 32% at three-quarters of the pot, 12% at half the pot, 3% at 1¼ times the pot and 1% at a third of the pot.

Why A♦A♣ checks half the time on T♥ 9♥ 4♣

  • Checking and every sized bet are worth about the same to A♦A♣: a check 4.78 bb, the smallest bet 4.79 bb and three-quarters of the pot 4.80 bb. The solve mixes them.
  • The suits matter. A♥A♦ holds the ace of hearts, which makes the best flush if two more hearts come. It bets 80% of the time; A♦A♣, with no heart, bets 48%.
  • On a wet flop like this, an overpair bets for value and to deny equity to the draws. The cutoff's overpairs bet 80% of the time. The smaller ones bet more: jacks 94%, queens 84%, kings 78% and aces 63%.

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The full strategy, hand by hand

The cutoff's strategy by hand class
AKQJT98765432
A AA B 63 % AKs X 82 % AQs X 80 % AJs X 57 % ATs B 83 % A9s X 58 % A8s B 52 % A7s X 61 % A6s X 65 % A5s B 55 % A4s X 63 % A3s B 66 % A2s B 77 %
K AKo X 64 % KK B 78 % KQs B 82 % KJs B 66 % KTs B 67 % K9s X 79 % K8s B 77 % K7s B 65 % K6s B 54 % K5s X 53 % K4s X 58 % K3s B 72 % K2s Not in this range here
Q AQo B 51 % KQo B 64 % QQ B 84 % QJs B 82 % QTs B 63 % Q9s X 85 % Q8s X 55 % Q7s B 72 % Q6s B 64 % Q5s B 62 % Q4s Not in this range here Q3s Not in this range here Q2s Not in this range here
J AJo B 70 % KJo B 69 % QJo B 66 % JJ B 94 % JTs B 53 % J9s X 75 % J8s B 74 % J7s B 62 % J6s Not in this range here J5s Not in this range here J4s Not in this range here J3s Not in this range here J2s Not in this range here
T ATo B 73 % KTo B 59 % QTo X 57 % JTo X 76 % TT B 95 % T9s B 85 % T8s X 68 % T7s X 79 % T6s Not in this range here T5s Not in this range here T4s Not in this range here T3s Not in this range here T2s Not in this range here
9 A9o X 67 % K9o X 86 % Q9o Not in this range here J9o X 81 % T9o B 71 % 99 B 93 % 98s X 76 % 97s X 84 % 96s Not in this range here 95s Not in this range here 94s Not in this range here 93s Not in this range here 92s Not in this range here
8 A8o B 70 % K8o Not in this range here Q8o Not in this range here J8o Not in this range here T8o Not in this range here 98o Not in this range here 88 X 99 % 87s B 61 % 86s X 55 % 85s Not in this range here 84s Not in this range here 83s Not in this range here 82s Not in this range here
7 A7o Not in this range here K7o Not in this range here Q7o Not in this range here J7o Not in this range here T7o Not in this range here 97o Not in this range here 87o Not in this range here 77 X 93 % 76s X 51 % 75s Not in this range here 74s Not in this range here 73s Not in this range here 72s Not in this range here
6 A6o Not in this range here K6o Not in this range here Q6o Not in this range here J6o Not in this range here T6o Not in this range here 96o Not in this range here 86o Not in this range here 76o Not in this range here 66 X 93 % 65s X 64 % 64s Not in this range here 63s Not in this range here 62s Not in this range here
5 A5o B 68 % K5o Not in this range here Q5o Not in this range here J5o Not in this range here T5o Not in this range here 95o Not in this range here 85o Not in this range here 75o Not in this range here 65o Not in this range here 55 X 83 % 54s X 81 % 53s Not in this range here 52s Not in this range here
4 A4o Not in this range here K4o Not in this range here Q4o Not in this range here J4o Not in this range here T4o Not in this range here 94o Not in this range here 84o Not in this range here 74o Not in this range here 64o Not in this range here 54o Not in this range here 44 B 100 % 43s Not in this range here 42s Not in this range here
3 A3o Not in this range here K3o Not in this range here Q3o Not in this range here J3o Not in this range here T3o Not in this range here 93o Not in this range here 83o Not in this range here 73o Not in this range here 63o Not in this range here 53o Not in this range here 43o Not in this range here 33 X 66 % 32s Not in this range here
2 A2o Not in this range here K2o Not in this range here Q2o Not in this range here J2o Not in this range here T2o Not in this range here 92o Not in this range here 82o Not in this range here 72o Not in this range here 62o Not in this range here 52o Not in this range here 42o Not in this range here 32o Not in this range here 22 B 51 %
  • Check: 47.02% of the range (163.22 combos)
  • Bet ⅓ pot (1.7 bb): 1.31% of the range (4.54 combos)
  • Bet ½ pot (2.55 bb): 15.05% of the range (52.25 combos)
  • Bet ¾ pot (3.8 bb): 32.79% of the range (113.81 combos)
  • Bet 1¼ pot (6.4 bb): 3.83% of the range (13.29 combos)
  • All-in (97.7 bb): 0.00% of the range (0 combos)

Each cell is a hand class. Its letter is the action the class takes most (F fold, X check, C call, B bet, R raise) and its number is how often, in percent. In the labels, s means suited and o means offsuit.

Every hand class in the cutoff's range: combos and how often it takes each action
Hand class Combos CheckBet ⅓ pot (1.7 bb)Bet ½ pot (2.55 bb)Bet ¾ pot (3.8 bb)Bet 1¼ pot (6.4 bb)All-in (97.7 bb)
AA 6 37.0%1.1%16.8%40.5%4.6%0.0%
AKs 4 81.9%1.1%8.3%8.4%0.4%0.0%
AQs 4 80.0%0.7%3.8%13.8%1.8%0.0%
AJs 4 57.1%0.9%11.7%27.7%2.5%0.0%
ATs 3 17.1%1.6%21.3%54.8%5.2%0.0%
A9s 3 58.2%2.0%20.0%19.3%0.4%0.0%
A8s 4 48.4%1.4%14.1%33.5%2.7%0.0%
A7s 4 61.4%1.0%9.1%25.0%3.6%0.0%
A6s 4 65.4%0.8%6.6%22.2%5.1%0.0%
A5s 4 44.7%1.0%13.3%38.3%2.7%0.0%
A4s 3 63.3%1.1%9.1%20.6%5.8%0.0%
A3s 4 34.2%1.1%13.9%45.8%5.1%0.0%
A2s 4 23.3%1.0%14.1%53.3%8.4%0.0%
AKo 12 64.1%1.2%13.8%19.5%1.5%0.0%
KK 6 22.3%1.2%17.8%50.6%8.2%0.0%
KQs 4 17.6%1.8%25.0%52.1%3.5%0.0%
KJs 4 34.4%1.3%21.2%39.4%3.8%0.0%
KTs 3 33.3%1.2%20.1%43.2%2.2%0.0%
K9s 3 78.5%2.3%12.5%6.1%0.6%0.0%
K8s 4 23.5%2.6%29.9%41.8%2.2%0.0%
K7s 4 35.6%1.7%18.4%39.8%4.6%0.0%
K6s 4 46.2%1.9%18.5%29.8%3.8%0.0%
K5s 4 52.9%1.0%10.4%31.2%4.5%0.0%
K4s 3 57.8%1.2%11.5%26.0%3.6%0.0%
K3s 4 27.8%0.9%10.0%52.1%9.3%0.0%
AQo 12 49.0%1.5%16.6%30.1%2.8%0.0%
KQo 12 36.0%1.2%17.2%40.5%5.0%0.0%
QQ 6 16.0%1.3%20.4%55.6%6.7%0.0%
QJs 4 17.8%2.0%24.9%50.3%5.1%0.0%
QTs 3 36.6%1.6%19.3%39.8%2.6%0.0%
Q9s 3 85.0%0.8%3.6%9.3%1.4%0.0%
Q8s 4 55.4%1.4%12.2%26.4%4.6%0.0%
Q7s 4 28.6%1.6%16.3%47.8%5.8%0.0%
Q6s 4 36.0%1.6%19.6%38.2%4.7%0.0%
Q5s 4 37.8%1.0%10.4%43.3%7.5%0.0%
AJo 12 30.2%1.4%20.8%42.6%5.0%0.0%
KJo 12 30.6%1.1%18.0%45.8%4.4%0.0%
QJo 12 33.5%1.4%17.4%42.2%5.4%0.0%
JJ 6 5.6%1.2%21.6%63.8%7.8%0.0%
JTs 3 47.1%2.0%18.5%30.5%2.0%0.0%
J9s 3 74.9%1.0%6.6%14.9%2.7%0.0%
J8s 4 26.0%1.9%22.1%45.0%5.1%0.0%
J7s 4 38.1%1.3%19.1%39.2%2.5%0.0%
ATo 9 26.8%1.2%16.4%50.7%4.9%0.0%
KTo 9 41.5%1.5%21.7%34.5%0.8%0.0%
QTo 9 57.2%1.4%14.3%25.5%1.6%0.0%
JTo 9 75.5%1.5%11.5%10.9%0.7%0.0%
TT 3 5.1%2.9%32.9%53.3%5.8%0.0%
T9s 3 14.7%1.5%21.4%56.3%6.1%0.0%
T8s 3 68.2%1.9%17.2%12.2%0.5%0.0%
T7s 2.55 79.4%2.4%16.4%1.6%0.2%0.0%
A9o 9 66.5%1.6%14.9%15.6%1.4%0.0%
K9o 1.602 86.4%1.9%7.8%3.0%0.8%0.0%
J9o 1.89 81.3%0.7%5.0%9.8%3.3%0.0%
T9o 1.14 29.5%1.0%16.2%47.5%5.8%0.0%
99 3 7.4%2.4%25.7%55.5%9.0%0.0%
98s 3 75.6%1.4%9.3%10.9%2.8%0.0%
97s 3 83.8%1.2%4.4%7.5%3.1%0.0%
A8o 10.2 30.2%1.7%19.1%41.7%7.3%0.0%
88 6 98.9%0.4%0.2%0.1%0.4%0.0%
87s 4 38.8%1.6%16.8%38.0%4.9%0.0%
86s 1.88 55.0%0.5%6.4%35.6%2.7%0.0%
77 6 93.4%0.5%1.0%4.4%0.8%0.0%
76s 2.336 51.4%1.1%16.7%28.9%2.0%0.0%
66 6 92.8%0.5%1.9%4.3%0.6%0.0%
65s 1.896 64.3%1.8%11.2%16.0%6.8%0.0%
A5o 1.44 32.4%0.8%9.3%40.0%17.5%0.0%
55 6 82.6%0.8%5.6%10.1%0.8%0.0%
54s 0.648 80.8%0.3%3.3%14.6%1.0%0.0%
44 3 0.1%1.0%16.1%70.1%12.7%0.0%
33 4.896 65.5%0.7%9.1%22.6%2.2%0.0%
22 4.644 49.5%0.7%13.5%33.1%3.2%0.0%
The solver's strategy for A♦A♣ on T♥ 9♥ 4♣: check 52%, bet ⅓ pot (1.7 bb) 1%, bet ½ pot (2.55 bb) 12%, bet ¾ pot (3.8 bb) 32%, bet 1¼ pot (6.4 bb) 3% and all-in (97.7 bb) 0%.
The solver's strategy for A♦A♣ on T♥ 9♥ 4♣: check 52%, bet ⅓ pot (1.7 bb) 1%, bet ½ pot (2.55 bb) 12%, bet ¾ pot (3.8 bb) 32%, bet 1¼ pot (6.4 bb) 3% and all-in (97.7 bb) 0%.

What each action is worth with A♦A♣

Action How often Expected value
Check 52.20% 4.784 bb
Bet ⅓ pot (1.7 bb) 0.80% 4.787 bb
Bet ½ pot (2.55 bb) 11.70% 4.784 bb
Bet ¾ pot (3.8 bb) 32.30% 4.803 bb
Bet 1¼ pot (6.4 bb) 3.00% 4.782 bb
All-in (97.7 bb) 0.00% 3.749 bb

Ranges, pot and stacks

  • The hand so far: 6-max cash, 100 big blinds · Cutoff opens to 2.3 bb, big blind calls · Flop T♥ 9♥ 4♣: big blind checks · Pot 5.1 bb · Cutoff to act, 97.7 bb behind
  • Pot at this decision, including the bets in front: 5.1 bb
  • The cutoff: 97.7 bb behind
  • The big blind: 97.7 bb behind
The cutoff's range: 347.1 combos
AKQJT98765432
A AA 100 % AKs 100 % AQs 100 % AJs 100 % ATs 100 % A9s 100 % A8s 100 % A7s 100 % A6s 100 % A5s 100 % A4s 100 % A3s 100 % A2s 100 %
K AKo 100 % KK 100 % KQs 100 % KJs 100 % KTs 100 % K9s 100 % K8s 100 % K7s 100 % K6s 100 % K5s 100 % K4s 100 % K3s 100 % K2s Not in this range here
Q AQo 100 % KQo 100 % QQ 100 % QJs 100 % QTs 100 % Q9s 100 % Q8s 100 % Q7s 100 % Q6s 100 % Q5s 100 % Q4s Not in this range here Q3s Not in this range here Q2s Not in this range here
J AJo 100 % KJo 100 % QJo 100 % JJ 100 % JTs 100 % J9s 100 % J8s 100 % J7s 100 % J6s Not in this range here J5s Not in this range here J4s Not in this range here J3s Not in this range here J2s Not in this range here
T ATo 100 % KTo 100 % QTo 100 % JTo 100 % TT 100 % T9s 100 % T8s 100 % T7s 85 % T6s Not in this range here T5s Not in this range here T4s Not in this range here T3s Not in this range here T2s Not in this range here
9 A9o 100 % K9o 18 % Q9o Not in this range here J9o 21 % T9o 19 % 99 100 % 98s 100 % 97s 100 % 96s Not in this range here 95s Not in this range here 94s Not in this range here 93s Not in this range here 92s Not in this range here
8 A8o 85 % K8o Not in this range here Q8o Not in this range here J8o Not in this range here T8o Not in this range here 98o Not in this range here 88 100 % 87s 100 % 86s 47 % 85s Not in this range here 84s Not in this range here 83s Not in this range here 82s Not in this range here
7 A7o Not in this range here K7o Not in this range here Q7o Not in this range here J7o Not in this range here T7o Not in this range here 97o Not in this range here 87o Not in this range here 77 100 % 76s 58 % 75s Not in this range here 74s Not in this range here 73s Not in this range here 72s Not in this range here
6 A6o Not in this range here K6o Not in this range here Q6o Not in this range here J6o Not in this range here T6o Not in this range here 96o Not in this range here 86o Not in this range here 76o Not in this range here 66 100 % 65s 47 % 64s Not in this range here 63s Not in this range here 62s Not in this range here
5 A5o 12 % K5o Not in this range here Q5o Not in this range here J5o Not in this range here T5o Not in this range here 95o Not in this range here 85o Not in this range here 75o Not in this range here 65o Not in this range here 55 100 % 54s 22 % 53s Not in this range here 52s Not in this range here
4 A4o Not in this range here K4o Not in this range here Q4o Not in this range here J4o Not in this range here T4o Not in this range here 94o Not in this range here 84o Not in this range here 74o Not in this range here 64o Not in this range here 54o Not in this range here 44 100 % 43s Not in this range here 42s Not in this range here
3 A3o Not in this range here K3o Not in this range here Q3o Not in this range here J3o Not in this range here T3o Not in this range here 93o Not in this range here 83o Not in this range here 73o Not in this range here 63o Not in this range here 53o Not in this range here 43o Not in this range here 33 82 % 32s Not in this range here
2 A2o Not in this range here K2o Not in this range here Q2o Not in this range here J2o Not in this range here T2o Not in this range here 92o Not in this range here 82o Not in this range here 72o Not in this range here 62o Not in this range here 52o Not in this range here 42o Not in this range here 32o Not in this range here 22 77 %

Each cell shows the share of the class's possible combos in the range.

The big blind's range: 336.2 combos
AKQJT98765432
A AA Not in this range here AKs Not in this range here AQs Not in this range here AJs 68 % ATs 100 % A9s 97 % A8s 90 % A7s 100 % A6s 100 % A5s 35 % A4s 96 % A3s 84 % A2s 84 %
K AKo Not in this range here KK Not in this range here KQs 69 % KJs 32 % KTs 52 % K9s 83 % K8s 100 % K7s 89 % K6s 75 % K5s 89 % K4s 76 % K3s 74 % K2s 88 %
Q AQo 56 % KQo 63 % QQ Not in this range here QJs 81 % QTs 78 % Q9s 100 % Q8s 80 % Q7s 100 % Q6s 69 % Q5s 61 % Q4s 70 % Q3s 89 % Q2s 83 %
J AJo 72 % KJo 66 % QJo 71 % JJ Not in this range here JTs 26 % J9s 59 % J8s 89 % J7s 75 % J6s 80 % J5s 99 % J4s 91 % J3s 30 % J2s Not in this range here
T ATo 84 % KTo 86 % QTo 87 % JTo 100 % TT 61 % T9s 54 % T8s 100 % T7s 86 % T6s 87 % T5s Not in this range here T4s Not in this range here T3s Not in this range here T2s Not in this range here
9 A9o 87 % K9o 46 % Q9o Not in this range here J9o 27 % T9o 47 % 99 96 % 98s 76 % 97s 100 % 96s 100 % 95s 51 % 94s Not in this range here 93s Not in this range here 92s Not in this range here
8 A8o 80 % K8o Not in this range here Q8o Not in this range here J8o Not in this range here T8o Not in this range here 98o 28 % 88 100 % 87s 69 % 86s 100 % 85s 100 % 84s Not in this range here 83s Not in this range here 82s Not in this range here
7 A7o 23 % K7o Not in this range here Q7o Not in this range here J7o Not in this range here T7o Not in this range here 97o Not in this range here 87o 20 % 77 99 % 76s 63 % 75s 100 % 74s 100 % 73s Not in this range here 72s Not in this range here
6 A6o Not in this range here K6o Not in this range here Q6o Not in this range here J6o Not in this range here T6o Not in this range here 96o Not in this range here 86o Not in this range here 76o 14 % 66 97 % 65s 49 % 64s 92 % 63s 100 % 62s Not in this range here
5 A5o 72 % K5o Not in this range here Q5o Not in this range here J5o Not in this range here T5o Not in this range here 95o Not in this range here 85o Not in this range here 75o Not in this range here 65o 2 % 55 94 % 54s 68 % 53s 100 % 52s 100 %
4 A4o 2 % K4o Not in this range here Q4o Not in this range here J4o Not in this range here T4o Not in this range here 94o Not in this range here 84o Not in this range here 74o Not in this range here 64o Not in this range here 54o Not in this range here 44 99 % 43s 100 % 42s 69 %
3 A3o Not in this range here K3o Not in this range here Q3o Not in this range here J3o Not in this range here T3o Not in this range here 93o Not in this range here 83o Not in this range here 73o Not in this range here 63o Not in this range here 53o Not in this range here 43o Not in this range here 33 100 % 32s 15 %
2 A2o Not in this range here K2o Not in this range here Q2o Not in this range here J2o Not in this range here T2o Not in this range here 92o Not in this range here 82o Not in this range here 72o Not in this range here 62o Not in this range here 52o Not in this range here 42o Not in this range here 32o Not in this range here 22 100 %

Each cell shows the share of the class's possible combos in the range.

Where the numbers come from

The numbers come from a commercial solver's precomputed solution for a 6-max cash game at 100 big blinds, with a 5% rake capped at 0.6 bb, opens sized by the solver (2.3 bb here) and several bet sizes on each street. At this decision the cutoff can check, move all in or bet a third of the pot, half the pot, three-quarters of the pot or 1¼ times the pot. Two players see the flop. Pots with three or more players aren't covered, and neither are bet sizes outside this solution. Poker Skill read the numbers and wrote the explanation.

Line to this decision
F-F-R2.3-F-F-C · flop X
Solver notation
Th9h4c · AdAc . F fold, X check, C call, R2.5 a bet or raise to 2.5 bb, RAI all-in.

Solution read Oct 1, 2026. Each hand-class row is the solver's own total for that class. Ranges are shown by class: how many combos of each class are in the range, and what share that is of the combos the board leaves possible.

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