T9s
64.45%
Wins 63.58%, ties 1.74%
87s
35.55%
Wins 34.68%, ties 1.74%
T9s against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 63.580 | 1.738 | 34.682 | 64.449 |
| 87s | 34.682 | 1.738 | 63.580 | 35.551 |
This is a contest between two suited hands, T9s and 87s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 1.74% of the outcomes here; each tied board gives both hands half the pot.
Place 64 of 169 belongs to T9s and place 100 belongs to 87s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 17,419,000 | 476,000 | 9,502,000 |
| 87s | 9,502,000 | 476,000 | 17,419,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 1.813 | 1.573 | 2.883 | 0.552 |
| 87s | 0.552 | 2.883 | 1.573 | 1.813 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Split by what the flop looks like, T9s peaks at 68.53% on rainbow flops topped by a ten or better and bottoms out at 51.20% on low rainbow flops (nine high or lower). T9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | T9s wins | Ties | 87s wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.948 | 1.164 | 30.888 | 68.530 |
| Rainbow, nine or lower | 5.689 | 51.097 | 0.202 | 48.701 | 51.198 |
| Two-tone | 46.727 | 63.663 | 0.897 | 35.440 | 64.111 |
| Monotone | 5.273 | 59.524 | 3.831 | 36.645 | 61.439 |
| Paired | 17.091 | 62.313 | 4.750 | 32.937 | 64.688 |
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
A random hand would give T9s 54.03% and 87s 47.94%. Against each other the change is +10.42 points for T9s and -12.39 for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 64.449 | 54.028 | +10.421 | 1.19288 |
| T9s, rainbow, ten or higher | 68.530 | 54.028 | +14.502 | 1.26842 |
| T9s, rainbow, nine or lower | 51.198 | 54.028 | -2.830 | 0.94762 |
| T9s, two-tone | 64.111 | 54.028 | +10.083 | 1.18663 |
| T9s, monotone | 61.439 | 54.028 | +7.411 | 1.13717 |
| T9s, paired | 64.688 | 54.028 | +10.660 | 1.19731 |
| 87s, all flops | 35.551 | 47.936 | -12.385 | 0.74163 |
| 87s, rainbow, ten or higher | 31.470 | 47.936 | -16.466 | 0.65650 |
| 87s, rainbow, nine or lower | 48.802 | 47.936 | +0.866 | 1.01807 |
| 87s, two-tone | 35.889 | 47.936 | -12.047 | 0.74869 |
| 87s, monotone | 38.561 | 47.936 | -9.375 | 0.80443 |
| 87s, paired | 35.312 | 47.936 | -12.624 | 0.73665 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common T9s has 66.99% equity, and with none in common it has 63.60%. T9s does better with a shared suit, by 3.39 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 87s wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 66.051 | 1.882 | 32.067 | 66.992 |
| No shared suit | 12 | 75.00 | 62.756 | 1.690 | 35.554 | 63.601 |
How often this matchup comes up
Counting specific cards, T9s against 87s 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
With $100 from each side, the $200 pot is split on average as $128.90 for T9s and $71.10 for 87s; the first side gains $28.90 per all-in and the second gives up $28.90.
Think in thousands: about 636 of 1,000 go to T9s, about 347 go to 87s, and about 17 are chopped.
The same matchup from the other side
One page covers both views. From 87s' side the equity is 35.55%, and from T9s' side it is 64.45%.
Keep exploring
Ts9s against 8h7h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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