T9o
62.12%
Wins 61.24%, ties 1.75%
87s
37.88%
Wins 37.01%, ties 1.75%
T9o against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 61.244 | 1.753 | 37.003 | 62.121 |
| 87s | 37.003 | 1.753 | 61.244 | 37.879 |
T9o, an offsuit hand, plays 87s, a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 24.24 point lead is real, and 87s still takes about 370 of every 1,000 deals outright. A split pot comes up on 1.75% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, T9o is number 78 of the 169 starting hands and 87s is number 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 50,337,000 | 1,441,000 | 30,413,000 |
| 87s | 30,413,000 | 1,441,000 | 50,337,000 |
48 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) |
|---|---|---|---|---|
| T9o | 1.640 | 1.633 | 2.702 | 0.610 |
| 87s | 0.610 | 2.702 | 1.633 | 1.640 |
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, T9o peaks at 67.08% on rainbow flops topped by a ten or better and bottoms out at 49.33% on low rainbow flops (nine high or lower). 87s 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 | T9o wins | Ties | 87s wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 66.486 | 1.190 | 32.324 | 67.081 |
| Rainbow, nine or lower | 5.689 | 49.228 | 0.207 | 50.565 | 49.331 |
| Two-tone | 46.667 | 60.565 | 0.948 | 38.487 | 61.039 |
| Monotone | 5.212 | 58.944 | 2.898 | 38.158 | 60.393 |
| Paired | 17.091 | 60.027 | 4.953 | 35.020 | 62.503 |
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
Each hand has a baseline against a random hand: 51.53% for T9o, 47.94% for 87s. Here the change is +10.59 and -10.06 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 62.121 | 51.532 | +10.589 | 1.20548 |
| T9o, rainbow, ten or higher | 67.081 | 51.532 | +15.549 | 1.30173 |
| T9o, rainbow, nine or lower | 49.331 | 51.532 | -2.201 | 0.95729 |
| T9o, two-tone | 61.039 | 51.532 | +9.507 | 1.18449 |
| T9o, monotone | 60.393 | 51.532 | +8.861 | 1.17195 |
| T9o, paired | 62.503 | 51.532 | +10.971 | 1.21290 |
| 87s, all flops | 37.879 | 47.936 | -10.057 | 0.79020 |
| 87s, rainbow, ten or higher | 32.919 | 47.936 | -15.017 | 0.68673 |
| 87s, rainbow, nine or lower | 50.669 | 47.936 | +2.733 | 1.05701 |
| 87s, two-tone | 38.961 | 47.936 | -8.975 | 0.81277 |
| 87s, monotone | 39.607 | 47.936 | -8.329 | 0.82625 |
| 87s, paired | 37.497 | 47.936 | -10.439 | 0.78223 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common T9o has 62.80% equity, and with none in common it has 61.44%. T9o does better with a shared suit, by 1.36 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 87s wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.903 | 1.797 | 36.300 | 62.801 |
| No shared suit | 24 | 50.00 | 60.586 | 1.710 | 37.704 | 61.441 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, T9o's average share is $124.24 (a gain of $24.24) and 87s' is $75.76 (a loss of $24.24).
Run 1,000 deals and the tally comes out near 612 for T9o, 370 for 87s and 18 ties.
The same matchup from the other side
If you came looking for 87s against T9o, the numbers are the same with the hands swapped: 37.88% and 62.12%.
Keep exploring
Try Ts9h against 8d7d 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
Nothing here is simulated. The 48 deals of T9o against 87s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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