Solver answer

How big should the button c-bet T♦ 7♦ 4♠?

6-max cash, 100 big blinds · Button opens, big blind calls · Flop T♦ 7♦ 4♠ · Big blind checks · Button to act

Updated

The solver's answer

The button's whole range

Check 51% Bet 49%

  • ⅓ pot · 1.8 bb 10%
  • ½ pot · 2.75 bb 16%
  • ¾ pot · 4.1 bb 20%
  • 1¼ pot · 6.9 bb 3%

The button checks about half its range and, when it bets, most often bets three-quarters of the pot.

T♦7♦4♠
Pot
5.5 bb
Behind
97.5 bb
Big blind
Checks

In a 6-max cash game at 100 big blinds, after the button opens to 2.5 bb and the big blind calls, then checks a T♦ 7♦ 4♠ flop, the button checks 51% of its range and bets 49%, according to a solver answer published free by Poker Skill. The 49% splits by size: three-quarters of the pot (4.1 bb) 20%, half the pot (2.75 bb) 16%, a third of the pot (1.8 bb) 10% and 1¼ times the pot (6.9 bb) 3%.

Why the button bets big on T-7-4

  • T♦ 7♦ 4♠ is two-tone and connected, and coordinated flops like it call for bigger c-bets, around three-quarters of the pot.
  • Its strongest hands go biggest: two pair bets three-quarters of the pot 54% of the time, sets 40% and overpairs 36%.
  • Flush draws bet too, most often three-quarters of the pot (31%), while ace-high checks 65% and underpairs 90%.

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The full strategy, hand by hand

The button's strategy by hand class
AKQJT98765432
A AA X 53 % AKs X 71 % AQs X 76 % AJs X 81 % ATs B 90 % A9s X 87 % A8s X 81 % A7s B 66 % A6s X 67 % A5s X 80 % A4s B 51 % A3s X 61 % A2s B 52 %
K AKo X 78 % KK B 79 % KQs B 63 % KJs B 53 % KTs B 71 % K9s X 53 % K8s B 61 % K7s B 59 % K6s B 62 % K5s X 54 % K4s X 64 % K3s X 62 % K2s X 63 %
Q AQo X 83 % KQo X 53 % QQ B 92 % QJs B 65 % QTs B 62 % Q9s B 62 % Q8s B 77 % Q7s X 63 % Q6s B 73 % Q5s B 56 % Q4s X 66 % Q3s X 58 % Q2s X 64 %
J AJo X 74 % KJo B 59 % QJo B 61 % JJ B 100 % JTs B 56 % J9s B 76 % J8s B 55 % J7s X 77 % J6s B 67 % J5s B 71 % J4s X 66 % J3s X 51 % J2s Not in this range here
T ATo B 80 % KTo B 59 % QTo X 62 % JTo X 73 % TT B 94 % T9s B 71 % T8s B 61 % T7s B 99 % T6s X 57 % T5s X 82 % T4s Not in this range here T3s Not in this range here T2s Not in this range here
9 A9o X 90 % K9o B 67 % Q9o B 67 % J9o B 53 % T9o X 50 % 99 X 78 % 98s B 78 % 97s X 87 % 96s X 64 % 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 54 % K8o B 77 % Q8o Not in this range here J8o X 54 % T8o X 65 % 98o B 57 % 88 X 69 % 87s X 75 % 86s B 68 % 85s X 67 % 84s Not in this range here 83s Not in this range here 82s Not in this range here
7 A7o B 60 % K7o X 62 % 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 B 100 % 76s X 60 % 75s X 69 % 74s Not in this range here 73s Not in this range here 72s Not in this range here
6 A6o B 65 % 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 89 % 65s B 61 % 64s X 73 % 63s Not in this range here 62s Not in this range here
5 A5o B 69 % 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 93 % 54s X 79 % 53s X 61 % 52s Not in this range here
4 A4o B 54 % 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 B 73 % 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 93 % 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 X 87 %
  • Check: 51.07% of the range (266.3 combos)
  • Bet ⅓ pot (1.8 bb): 9.75% of the range (50.86 combos)
  • Bet ½ pot (2.75 bb): 16.08% of the range (83.82 combos)
  • Bet ¾ pot (4.1 bb): 19.74% of the range (102.91 combos)
  • Bet 1¼ pot (6.9 bb): 3.36% of the range (17.53 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 button's range: combos and how often it takes each action
Hand class Combos CheckBet ⅓ pot (1.8 bb)Bet ½ pot (2.75 bb)Bet ¾ pot (4.1 bb)Bet 1¼ pot (6.9 bb)
AA 6 53.4%13.4%16.2%14.4%2.6%
AKs 4 70.9%11.5%10.9%6.4%0.4%
AQs 4 76.3%8.7%6.8%7.4%0.9%
AJs 4 80.8%7.0%5.9%5.6%0.8%
ATs 3 10.4%12.9%26.8%41.2%8.7%
A9s 4 87.0%2.9%3.9%5.2%1.0%
A8s 4 80.9%3.3%6.0%8.2%1.7%
A7s 3 33.6%15.9%25.3%23.7%1.4%
A6s 4 66.5%11.9%10.0%9.3%2.4%
A5s 4 79.5%4.4%5.8%8.3%2.1%
A4s 3 48.7%10.3%17.8%20.0%3.1%
A3s 4 61.2%7.9%12.7%15.6%2.7%
A2s 4 47.9%4.1%10.9%30.5%6.6%
AKo 12 78.2%9.7%6.3%5.7%0.1%
KK 6 20.7%13.6%22.7%34.3%8.8%
KQs 4 37.0%10.7%19.5%29.9%2.9%
KJs 4 47.2%6.9%19.4%24.2%2.3%
KTs 3 29.6%11.8%23.9%30.8%4.0%
K9s 4 52.7%7.5%15.1%22.3%2.5%
K8s 4 38.8%7.0%22.3%28.9%3.0%
K7s 3 41.4%14.1%21.0%21.5%2.0%
K6s 4 38.1%13.9%21.6%23.1%3.4%
K5s 4 54.1%10.7%16.7%15.9%2.7%
K4s 3 64.4%9.4%14.4%10.1%1.7%
K3s 4 62.3%5.1%10.9%18.0%3.7%
K2s 4 63.3%2.7%6.5%19.6%7.9%
AQo 12 82.9%10.2%4.3%2.5%0.1%
KQo 12 52.5%8.0%16.3%19.9%3.4%
QQ 6 7.9%10.1%25.9%46.9%9.3%
QJs 4 35.3%9.6%21.5%30.3%3.4%
QTs 3 38.2%13.3%22.3%24.0%2.3%
Q9s 4 38.4%6.7%20.8%31.8%2.4%
Q8s 4 23.1%10.3%25.8%35.4%5.5%
Q7s 3 63.3%14.9%15.4%6.2%0.2%
Q6s 4 27.6%13.9%25.2%28.4%5.0%
Q5s 4 44.4%12.5%19.6%20.0%3.5%
Q4s 3 65.6%7.5%11.2%11.9%3.9%
Q3s 4 58.2%6.9%11.8%19.2%3.9%
Q2s 4 64.2%2.1%5.9%19.9%7.9%
AJo 12 74.4%9.9%12.5%3.0%0.2%
KJo 12 41.2%9.3%18.5%24.8%6.3%
QJo 12 39.5%6.7%16.6%30.1%7.1%
JJ 6 0.4%8.4%26.2%50.2%14.9%
JTs 3 44.1%14.9%20.9%20.0%0.2%
J9s 4 24.3%11.9%26.3%35.1%2.4%
J8s 4 45.3%8.6%15.8%24.7%5.7%
J7s 3 77.1%10.9%8.3%3.7%0.0%
J6s 4 33.2%8.6%24.0%29.6%4.6%
J5s 4 29.3%14.3%28.7%25.5%2.3%
J4s 3 65.6%6.7%8.0%15.2%4.6%
J3s 1.264 50.7%8.8%11.3%23.7%5.6%
ATo 9 20.5%9.5%22.1%40.3%7.6%
KTo 9 41.4%9.8%19.7%26.3%2.7%
QTo 9 61.6%8.8%14.5%14.3%0.8%
JTo 9 73.3%8.4%11.2%7.0%0.0%
TT 3 6.1%23.4%39.2%31.2%0.2%
T9s 3 29.6%14.1%23.5%30.3%2.6%
T8s 3 39.1%14.2%20.5%24.3%1.9%
T7s 3 0.7%9.5%23.3%54.5%12.1%
T6s 3 56.7%10.4%19.4%13.5%0.0%
T5s 0.918 81.6%7.1%7.1%4.2%0.0%
A9o 12 89.7%3.5%4.4%2.2%0.1%
K9o 12 33.2%14.2%20.8%26.9%4.9%
Q9o 12 32.7%11.9%21.5%29.4%4.5%
J9o 12 47.6%9.3%15.7%22.9%4.6%
T9o 9 50.0%12.7%18.3%17.5%1.5%
99 6 78.3%9.3%9.2%3.3%0.0%
98s 4 22.3%18.6%28.1%29.0%2.1%
97s 3 86.9%6.8%3.0%2.7%0.6%
96s 4 64.2%6.5%9.4%12.7%7.2%
A8o 12 45.8%11.4%20.1%21.6%1.2%
K8o 8.232 23.3%12.3%22.7%34.1%7.6%
J8o 4.08 53.7%5.9%12.7%22.6%5.1%
T8o 8.604 64.9%8.8%13.4%12.0%0.8%
98o 8.232 43.0%10.2%18.3%24.4%4.0%
88 6 69.4%11.0%13.5%6.1%0.0%
87s 3 74.6%7.4%9.9%6.5%1.6%
86s 4 32.1%11.7%23.9%30.1%2.4%
85s 3.344 66.7%3.3%6.8%19.2%4.0%
A7o 9 39.6%12.1%22.3%24.0%1.9%
K7o 2.484 62.3%11.3%15.6%10.6%0.3%
77 3 0.0%19.5%37.9%37.6%5.0%
76s 3 59.8%10.5%15.0%11.3%3.4%
75s 3 69.3%12.9%10.3%6.1%1.4%
A6o 12 35.0%14.0%22.4%23.7%4.9%
66 6 88.5%6.6%4.7%0.2%0.1%
65s 4 39.5%11.0%19.3%26.0%4.2%
64s 3 72.9%4.7%7.5%11.0%3.9%
A5o 12 30.7%14.7%24.1%25.2%5.4%
55 6 92.6%3.7%3.4%0.4%0.0%
54s 3 79.2%4.7%7.0%8.7%0.5%
53s 0.384 60.8%1.3%4.7%27.9%5.4%
A4o 9 46.3%10.9%19.4%19.7%3.8%
44 3 0.0%8.8%21.1%51.6%18.5%
A3o 1.872 27.0%10.6%19.4%29.9%13.1%
33 6 92.8%4.1%2.0%1.1%0.1%
22 6 87.1%2.9%4.2%5.4%0.4%
The solver's strategy for the button's whole range on T♦ 7♦ 4♠: check 51%, bet ⅓ pot (1.8 bb) 10%, bet ½ pot (2.75 bb) 16%, bet ¾ pot (4.1 bb) 20% and bet 1¼ pot (6.9 bb) 3%.
The solver's strategy for the button's whole range on T♦ 7♦ 4♠: check 51%, bet ⅓ pot (1.8 bb) 10%, bet ½ pot (2.75 bb) 16%, bet ¾ pot (4.1 bb) 20% and bet 1¼ pot (6.9 bb) 3%.

Ranges, pot and stacks

  • The hand so far: 6-max cash, 100 big blinds · Button opens to 2.5 bb, big blind calls · Flop T♦ 7♦ 4♠: big blind checks · Pot 5.5 bb · Button to act, 97.5 bb behind
  • Pot at this decision, including the bets in front: 5.5 bb
  • The button: 97.5 bb behind
  • The big blind: 97.5 bb behind
The button's range: 521.4 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 100 %
Q AQo 100 % KQo 100 % QQ 100 % QJs 100 % QTs 100 % Q9s 100 % Q8s 100 % Q7s 100 % Q6s 100 % Q5s 100 % Q4s 100 % Q3s 100 % Q2s 100 %
J AJo 100 % KJo 100 % QJo 100 % JJ 100 % JTs 100 % J9s 100 % J8s 100 % J7s 100 % J6s 100 % J5s 100 % J4s 100 % J3s 32 % J2s Not in this range here
T ATo 100 % KTo 100 % QTo 100 % JTo 100 % TT 100 % T9s 100 % T8s 100 % T7s 100 % T6s 100 % T5s 31 % T4s Not in this range here T3s Not in this range here T2s Not in this range here
9 A9o 100 % K9o 100 % Q9o 100 % J9o 100 % T9o 100 % 99 100 % 98s 100 % 97s 100 % 96s 100 % 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 100 % K8o 69 % Q8o Not in this range here J8o 34 % T8o 96 % 98o 69 % 88 100 % 87s 100 % 86s 100 % 85s 84 % 84s Not in this range here 83s Not in this range here 82s Not in this range here
7 A7o 100 % K7o 28 % 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 100 % 75s 100 % 74s Not in this range here 73s Not in this range here 72s Not in this range here
6 A6o 100 % 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 100 % 64s 100 % 63s Not in this range here 62s Not in this range here
5 A5o 100 % 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 100 % 53s 10 % 52s Not in this range here
4 A4o 100 % 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 16 % 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 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 22 100 %

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

The big blind's range: 348.8 combos
AKQJT98765432
A AA Not in this range here AKs Not in this range here AQs Not in this range here AJs Not in this range here ATs 63 % A9s 100 % A8s 83 % A7s 94 % A6s 99 % A5s Not in this range here A4s 51 % A3s 85 % A2s 89 %
K AKo Not in this range here KK Not in this range here KQs Not in this range here KJs 51 % KTs 53 % K9s 69 % K8s 92 % K7s 80 % K6s 73 % K5s 83 % K4s 84 % K3s 91 % K2s 99 %
Q AQo 7 % KQo 63 % QQ Not in this range here QJs 90 % QTs 70 % Q9s 91 % Q8s 93 % Q7s 96 % Q6s 87 % Q5s 90 % Q4s 93 % Q3s 83 % Q2s 98 %
J AJo 60 % KJo 64 % QJo 70 % JJ Not in this range here JTs 27 % J9s 24 % J8s 85 % J7s 60 % J6s 82 % J5s 76 % J4s 80 % J3s 85 % J2s 95 %
T ATo 72 % KTo 55 % QTo 65 % JTo 74 % TT Not in this range here T9s Not in this range here T8s 41 % T7s 68 % T6s 55 % T5s 64 % T4s 30 % T3s 33 % T2s Not in this range here
9 A9o 71 % K9o 63 % Q9o 71 % J9o 81 % T9o 85 % 99 29 % 98s 47 % 97s 88 % 96s 85 % 95s 34 % 94s Not in this range here 93s Not in this range here 92s Not in this range here
8 A8o 82 % K8o 30 % Q8o Not in this range here J8o Not in this range here T8o 37 % 98o 32 % 88 67 % 87s 51 % 86s 92 % 85s 85 % 84s 5 % 83s Not in this range here 82s Not in this range here
7 A7o 68 % 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 27 % 77 82 % 76s 39 % 75s 98 % 74s 97 % 73s Not in this range here 72s Not in this range here
6 A6o 28 % 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 27 % 66 99 % 65s 76 % 64s 98 % 63s 96 % 62s Not in this range here
5 A5o 84 % 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 64 % 53s 97 % 52s 99 %
4 A4o 39 % 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 96 % 43s 96 % 42s 93 %
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 24 %
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 99 %

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 (2.5 bb here) and several bet sizes on each street. At this decision the button can check 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-F-R2.5-F-C · flop X
Solver notation
Td7d4s . 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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