T9s
63.53%
Wins 62.67%, ties 1.73%
65s
36.47%
Wins 35.60%, ties 1.73%
T9s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 62.668 | 1.731 | 35.601 | 63.533 |
| 65s | 35.601 | 1.731 | 62.668 | 36.467 |
This is a contest between two suited hands, T9s and 65s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 27.06 point lead is real, and 65s still takes about 356 of every 1,000 deals outright. About 1.73% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
T9s ranks number 64 of 169 starting hands, and 65s ranks number 128, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 17,169,000 | 474,000 | 9,754,000 |
| 65s | 9,754,000 | 474,000 | 17,169,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| T9s | 1.742 | 1.596 | 2.809 | 0.574 |
| 65s | 0.574 | 2.809 | 1.596 | 1.742 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Split by what the flop looks like, T9s peaks at 68.03% on rainbow flops topped by a ten or better and bottoms out at 47.69% on low rainbow flops (nine high or lower). 65s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | T9s wins | Ties | 65s wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.469 | 1.111 | 31.420 | 68.025 |
| Rainbow, nine or lower | 5.689 | 47.441 | 0.490 | 52.069 | 47.686 |
| Two-tone | 46.727 | 62.758 | 0.909 | 36.333 | 63.213 |
| Monotone | 5.273 | 58.923 | 3.883 | 37.194 | 60.865 |
| Paired | 17.091 | 61.561 | 4.640 | 33.799 | 63.881 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 54.03%, T9s changes by +9.50 points, and 65s, from 43.13%, by -6.66.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 63.533 | 54.028 | +9.505 | 1.17593 |
| T9s, rainbow, ten or higher | 68.025 | 54.028 | +13.997 | 1.25907 |
| T9s, rainbow, nine or lower | 47.686 | 54.028 | -6.342 | 0.88262 |
| T9s, two-tone | 63.213 | 54.028 | +9.185 | 1.17000 |
| T9s, monotone | 60.865 | 54.028 | +6.837 | 1.12655 |
| T9s, paired | 63.881 | 54.028 | +9.853 | 1.18237 |
| 65s, all flops | 36.467 | 43.133 | -6.666 | 0.84545 |
| 65s, rainbow, ten or higher | 31.975 | 43.133 | -11.158 | 0.74131 |
| 65s, rainbow, nine or lower | 52.314 | 43.133 | +9.181 | 1.21285 |
| 65s, two-tone | 36.787 | 43.133 | -6.346 | 0.85287 |
| 65s, monotone | 39.135 | 43.133 | -3.998 | 0.90731 |
| 65s, paired | 36.119 | 43.133 | -7.014 | 0.83739 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, T9s has 65.92%; looking only at deals where they do not, 62.74%. T9s does better with a shared suit, by 3.18 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 65s wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.982 | 1.878 | 33.140 | 65.921 |
| No shared suit | 12 | 75.00 | 61.896 | 1.682 | 36.422 | 62.737 |
How often this matchup comes up
Counting specific cards, T9s against 65s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says T9s gets $127.06 of it on average and 65s gets $72.94.
In 1,000 deals of exactly this matchup, expect about 627 won outright by T9s, about 356 won outright by 65s and about 17 split.
The same matchup from the other side
Swap the hands and you get 65s with 36.47% against T9s with 63.53%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try Ts9s against 6h5h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
We counted every case. Each suit pattern of the 16 specific T9s against 65s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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