Solver answer

T♥9♠ on T♠ 8♦ 5♣ 3♥ Q♦: block bet or check?

6-max cash, 100 big blinds · Button opens, big blind calls · River T♠ 8♦ 5♣ 3♥ Q♦ · Big blind to act

Updated

The solver's answer

Bet 82% Check 18%

  • ⅒ pot · 2 bb 82%
  • 0.36 pot · 7 bb <1%
  • 0.62 pot · 12 bb 0%
  • 0.88 pot · 17 bb 0%
  • 1½ pot · 29 bb 0%
  • 3 pot · 58 bb <1%
  • All-in · 90.6 bb 0%

T♥9♠ leads small most of the time; the block bet and the check are worth the same.

The solver plays T♥9♠ along this line to this decision 83.75% of the time; otherwise it acts differently earlier in the hand.

T♠8♦5♣3♥Q♦
T♥9♠ You
Pot
19.3 bb
Behind
90.6 bb
First to act
You

In a 6-max cash game at 100 big blinds, after the big blind calls the button's 6.9 bb flop c-bet on T♠ 8♦ 5♣ and the 3♥ turn is checked through, the big blind leads the Q♦ river with T♥9♠ for 2 bb into 19.3 bb 82% of the time and checks 18%, according to a solver answer published free by Poker Skill.

Why T♥9♠ makes a small block bet

  • A block bet is a small lead from out of position: the player sets a cheap price instead of checking and facing a bigger bet.
  • For T♥9♠ the block bet and the check are worth the same, 14.39 bb and 14.40 bb. The 7 bb lead gives up a little (14.17 bb) and the bigger leads more.
  • The Q♦ makes T♥9♠ second pair. The big blind's second pairs make the block bet 51% of the time. Its top pairs lead bigger, and its hands with no pair rarely block (5%).
  • The block bet is the big blind's most-used lead: 23% of its range.

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The full strategy, hand by hand

The big blind's strategy by hand class
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 B 84 % A9s Not in this range here A8s X 100 % A7s Not in this range here A6s Not in this range here A5s Not in this range here A4s Not in this range here A3s Not in this range here A2s Not in this range here
K AKo Not in this range here KK Not in this range here KQs Not in this range here KJs B 100 % KTs B 75 % K9s Not in this range here K8s X 100 % K7s Not in this range here K6s Not in this range here K5s X 98 % K4s Not in this range here K3s Not in this range here K2s Not in this range here
Q AQo Not in this range here KQo Not in this range here QQ Not in this range here QJs B 100 % QTs B 80 % Q9s B 97 % Q8s B 83 % Q7s Not in this range here Q6s Not in this range here Q5s B 100 % Q4s Not in this range here Q3s Not in this range here Q2s Not in this range here
J AJo Not in this range here KJo Not in this range here QJo B 100 % JJ Not in this range here JTs B 88 % J9s B 65 % J8s X 100 % J7s Not in this range here J6s Not in this range here J5s B 65 % J4s Not in this range here J3s Not in this range here J2s Not in this range here
T ATo B 79 % KTo B 75 % QTo B 88 % JTo B 99 % TT Not in this range here T9s Not in this range here T8s X 65 % T7s X 79 % T6s X 73 % T5s B 52 % T4s X 69 % T3s B 74 % T2s Not in this range here
9 A9o Not in this range here K9o Not in this range here Q9o B 98 % J9o B 63 % T9o B 77 % 99 X 96 % 98s X 100 % 97s B 100 % 96s Not in this range here 95s B 52 % 94s Not in this range here 93s Not in this range here 92s Not in this range here
8 A8o X 100 % K8o X 100 % Q8o Not in this range here J8o Not in this range here T8o X 69 % 98o X 100 % 88 X 98 % 87s X 100 % 86s X 100 % 85s B 68 % 84s X 100 % 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 X 100 % 77 Not in this range here 76s B 100 % 75s X 59 % 74s B 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 B 100 % 66 Not in this range here 65s X 55 % 64s Not in this range here 63s Not in this range here 62s Not in this range here
5 A5o X 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 X 53 % 54s B 56 % 53s B 100 % 52s B 68 %
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 Not in this range here 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 Not in this range here 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 Not in this range here
  • Check: 42.14% of the range (46 combos)
  • Bet ⅒ pot (2 bb): 22.78% of the range (24.86 combos)
  • Bet 0.36 pot (7 bb): 13.48% of the range (14.71 combos)
  • Bet 0.62 pot (12 bb): 4.67% of the range (5.09 combos)
  • Bet 0.88 pot (17 bb): 7.27% of the range (7.93 combos)
  • Bet 1½ pot (29 bb): 9.10% of the range (9.93 combos)
  • Bet 3 pot (58 bb): 0.47% of the range (0.51 combos)
  • All-in (90.6 bb): 0.10% of the range (0.11 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 big blind's range: combos and how often it takes each action
Hand class Combos CheckBet ⅒ pot (2 bb)Bet 0.36 pot (7 bb)Bet 0.62 pot (12 bb)Bet 0.88 pot (17 bb)Bet 1½ pot (29 bb)Bet 3 pot (58 bb)All-in (90.6 bb)
ATs 1.513 16.1%9.3%74.2%0.3%0.0%0.0%0.0%0.0%
A8s 2.455 99.9%0.1%0.0%0.0%0.0%0.0%0.0%0.0%
KJs 0.189 0.0%0.0%0.1%4.0%2.6%89.2%4.0%0.1%
KTs 1.601 24.6%32.4%42.7%0.2%0.0%0.0%0.0%0.0%
K8s 2.75 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
K5s 2.43 98.0%0.7%0.0%0.9%0.0%0.0%0.3%0.0%
QJs 1.653 0.0%0.6%2.1%43.0%54.1%0.0%0.1%0.0%
QTs 1.184 20.3%33.3%17.6%1.3%9.4%17.0%1.1%0.0%
Q9s 1.642 3.4%4.9%26.5%43.8%21.4%0.0%0.0%0.0%
Q8s 1.874 17.1%23.9%11.6%0.1%10.0%36.1%1.2%0.0%
Q5s 0.746 0.0%1.3%1.2%0.1%34.7%62.3%0.5%0.0%
QJo 4.332 0.2%6.0%16.1%32.3%45.2%0.0%0.1%0.0%
JTs 0.736 11.6%87.7%0.7%0.0%0.0%0.0%0.0%0.0%
J9s 0.16 35.3%27.2%3.0%5.1%12.2%15.2%1.2%0.9%
J8s 2.39 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
J5s 1.498 35.2%6.2%0.0%4.3%20.7%27.6%4.4%1.7%
ATo 5.657 20.6%9.7%69.3%0.3%0.0%0.0%0.0%0.0%
KTo 5.014 24.8%33.6%41.3%0.2%0.0%0.0%0.0%0.0%
QTo 4.439 12.0%27.7%34.4%1.6%7.3%16.2%0.8%0.0%
JTo 6.672 0.7%98.2%1.0%0.0%0.0%0.0%0.0%0.0%
T8s 0.252 64.6%33.6%0.0%0.0%1.4%0.0%0.3%0.0%
T7s 1.999 78.6%21.4%0.0%0.0%0.0%0.0%0.0%0.0%
T6s 1.656 73.0%27.0%0.0%0.0%0.0%0.0%0.0%0.0%
T5s 1.276 47.7%30.8%0.0%0.0%1.4%19.8%0.2%0.0%
T4s 0.915 69.1%30.9%0.0%0.0%0.0%0.0%0.0%0.0%
T3s 0.658 26.0%32.6%0.0%0.0%11.6%29.5%0.3%0.0%
Q9o 0.358 2.5%0.3%9.2%56.2%31.8%0.0%0.0%0.0%
J9o 8.029 37.3%19.1%9.6%6.0%9.5%16.3%1.9%0.4%
T9o 7.47 23.2%76.8%0.1%0.0%0.0%0.0%0.0%0.0%
99 0.001 96.1%3.9%0.0%0.0%0.0%0.0%0.0%0.0%
98s 1.264 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
97s 2.672 0.0%0.8%33.7%15.8%15.6%31.0%2.8%0.3%
95s 0.56 48.4%10.2%1.9%7.1%4.5%24.3%1.5%2.3%
A8o 6.531 99.9%0.1%0.0%0.0%0.0%0.0%0.0%0.0%
K8o 2.745 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
T8o 0.621 68.6%29.4%0.0%0.0%1.7%0.0%0.3%0.0%
98o 1.742 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
88 0.999 97.6%0.1%0.1%1.1%0.2%0.1%0.6%0.1%
87s 1.161 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
86s 1.628 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
85s 1.311 32.5%9.9%0.0%0.1%17.8%39.5%0.2%0.0%
84s 0.106 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
87o 0.341 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
76s 0.687 0.0%7.5%28.6%9.9%25.4%28.3%0.3%0.0%
75s 1.672 58.6%34.4%1.5%2.4%0.4%2.3%0.4%0.0%
74s 1.913 0.0%6.0%36.8%14.2%20.7%21.9%0.3%0.0%
76o 3.053 0.0%8.3%32.2%9.7%27.9%21.7%0.3%0.0%
65s 1.186 54.5%28.2%0.9%3.5%4.3%8.2%0.4%0.0%
A5o 1.205 100.0%0.0%0.0%0.0%0.0%0.0%0.0%0.0%
55 0.392 52.6%0.1%0.1%1.3%1.8%25.8%11.9%6.5%
54s 1.198 44.0%29.0%3.3%3.0%1.7%18.6%0.4%0.0%
53s 1.976 0.0%0.1%0.0%0.0%4.9%94.6%0.3%0.0%
52s 2.637 31.7%37.6%0.8%4.3%9.2%16.0%0.3%0.0%
The solver's strategy for T♥9♠ on T♠ 8♦ 5♣ 3♥ Q♦: check 18%, bet ⅒ pot (2 bb) 82%, bet 0.36 pot (7 bb) <1%, bet 0.62 pot (12 bb) 0%, bet 0.88 pot (17 bb) 0%, bet 1½ pot (29 bb) 0%, bet 3 pot (58 bb) <1% and all-in (90.6 bb) 0%.
The solver's strategy for T♥9♠ on T♠ 8♦ 5♣ 3♥ Q♦: check 18%, bet ⅒ pot (2 bb) 82%, bet 0.36 pot (7 bb) <1%, bet 0.62 pot (12 bb) 0%, bet 0.88 pot (17 bb) 0%, bet 1½ pot (29 bb) 0%, bet 3 pot (58 bb) <1% and all-in (90.6 bb) 0%.

What each action is worth with T♥9♠

Action How often Expected value
Check 18.10% 14.397 bb
Bet ⅒ pot (2 bb) 81.88% 14.394 bb
Bet 0.36 pot (7 bb) 0.02% 14.173 bb
Bet 0.62 pot (12 bb) 0.00% 13.564 bb
Bet 0.88 pot (17 bb) 0.00% 13.765 bb
Bet 1½ pot (29 bb) 0.00% 13.65 bb
Bet 3 pot (58 bb) 0.01% 13.078 bb
All-in (90.6 bb) 0.00% 13.469 bb

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♠ 8♦ 5♣: big blind checks, button bets 6.9 bb, big blind calls · Turn 3♥: big blind checks, button checks · River Q♦ · Pot 19.3 bb · Big blind to act, 90.6 bb behind
  • Pot at this decision, including the bets in front: 19.3 bb
  • The big blind: 90.6 bb behind
  • The button: 90.6 bb behind
The big blind's range: 109.2 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 50 % A9s Not in this range here A8s 82 % A7s Not in this range here A6s Not in this range here A5s Not in this range here A4s Not in this range here A3s Not in this range here A2s Not in this range here
K AKo Not in this range here KK Not in this range here KQs Not in this range here KJs 5 % KTs 53 % K9s Not in this range here K8s 92 % K7s Not in this range here K6s Not in this range here K5s 81 % K4s Not in this range here K3s Not in this range here K2s Not in this range here
Q AQo Not in this range here KQo Not in this range here QQ Not in this range here QJs 55 % QTs 59 % Q9s 55 % Q8s 63 % Q7s Not in this range here Q6s Not in this range here Q5s 37 % Q4s Not in this range here Q3s Not in this range here Q2s Not in this range here
J AJo Not in this range here KJo Not in this range here QJo 48 % JJ Not in this range here JTs 25 % J9s 4 % J8s 80 % J7s Not in this range here J6s Not in this range here J5s 50 % J4s Not in this range here J3s Not in this range here J2s Not in this range here
T ATo 63 % KTo 56 % QTo 63 % JTo 74 % TT Not in this range here T9s Not in this range here T8s 13 % T7s 67 % T6s 55 % T5s 64 % T4s 31 % T3s 33 % T2s Not in this range here
9 A9o Not in this range here K9o Not in this range here Q9o 4 % J9o 67 % T9o 83 % 99 <1 % 98s 42 % 97s 67 % 96s Not in this range here 95s 19 % 94s Not in this range here 93s Not in this range here 92s Not in this range here
8 A8o 73 % K8o 31 % Q8o Not in this range here J8o Not in this range here T8o 9 % 98o 19 % 88 33 % 87s 39 % 86s 54 % 85s 66 % 84s 4 % 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 4 % 77 Not in this range here 76s 17 % 75s 56 % 74s 48 % 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 25 % 66 Not in this range here 65s 40 % 64s Not in this range here 63s Not in this range here 62s Not in this range here
5 A5o 13 % 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 13 % 54s 40 % 53s 99 % 52s 88 %
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 Not in this range here 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 Not in this range here 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 Not in this range here

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

The button's range: 39.1 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 Not in this range here A9s <1 % A8s 24 % A7s 6 % A6s 11 % A5s 5 % A4s 29 % A3s <1 % A2s 15 %
K AKo Not in this range here KK Not in this range here KQs 5 % KJs 28 % KTs 9 % K9s 43 % K8s 12 % K7s 31 % K6s 17 % K5s 26 % K4s 9 % K3s 6 % K2s 12 %
Q AQo Not in this range here KQo 5 % QQ Not in this range here QJs 4 % QTs 9 % Q9s <1 % Q8s Not in this range here Q7s 28 % Q6s 22 % Q5s 6 % Q4s 8 % Q3s 13 % Q2s 10 %
J AJo <1 % KJo 30 % QJo 5 % JJ <1 % JTs 19 % J9s 15 % J8s <1 % J7s <1 % J6s 30 % J5s 16 % J4s 24 % J3s 5 % J2s Not in this range here
T ATo <1 % KTo 8 % QTo 5 % JTo 4 % TT <1 % T9s 34 % T8s Not in this range here T7s 1 % T6s 2 % 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 2 % K9o 21 % Q9o 3 % J9o <1 % T9o 10 % 99 <1 % 98s 6 % 97s 19 % 96s 7 % 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 14 % K8o <1 % Q8o Not in this range here J8o Not in this range here T8o <1 % 98o Not in this range here 88 <1 % 87s 3 % 86s 4 % 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 20 % K7o 4 % 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 Not in this range here 76s 1 % 75s 10 % 74s Not in this range here 73s Not in this range here 72s Not in this range here
6 A6o 3 % 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 Not in this range here 65s 4 % 64s 1 % 63s Not in this range here 62s Not in this range here
5 A5o 14 % 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 Not in this range here 54s 8 % 53s Not in this range here 52s Not in this range here
4 A4o 23 % 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 Not in this range here 43s Not in this range here 42s Not in this range here
3 A3o <1 % 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 Not in this range here 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 Not in this range here

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. The flop follows the button's most-used c-bet, 6.9 bb. On the river the big blind can check, move all in or lead from a tenth of the pot to three 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-R6.9-C, turn X-X, river (to act)
Solver notation
Ts8d5c3hQd · Th9s . 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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