T9o
68.39%
Wins 64.98%, ties 6.82%
97s
31.61%
Wins 28.20%, ties 6.82%
T9o against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 64.980 | 6.819 | 28.201 | 68.389 |
| 97s | 28.201 | 6.819 | 64.980 | 31.611 |
T9o, an offsuit hand, plays 97s, a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
T9o is the clear favorite, though 97s gets there on roughly one board in 3. About 6.82% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
In the ranking of all 169 starting hands, T9o is number 78 and 97s is number 94.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 40,056,000 | 4,203,000 | 17,384,000 |
| 97s | 17,384,000 | 4,203,000 | 40,056,000 |
36 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 | 2.163 | 1.539 | 3.546 | 0.462 |
| 97s | 0.462 | 3.546 | 1.539 | 2.163 |
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
By flop texture, T9o's equity runs from 58.30% on low rainbow flops (nine high or lower) up to 73.18% on rainbow flops topped by a ten or better. T9o stays ahead on all five textures.
| Flop | Share of flops | T9o wins | Ties | 97s wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.293 | 69.987 | 6.389 | 23.624 | 73.181 |
| Rainbow, nine or lower | 5.654 | 56.765 | 3.076 | 40.159 | 58.303 |
| Two-tone | 46.527 | 64.280 | 5.496 | 30.224 | 67.028 |
| Monotone | 5.192 | 61.172 | 6.382 | 32.446 | 64.363 |
| Paired | 17.334 | 63.371 | 12.351 | 24.278 | 69.547 |
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
Start from the random-hand figures, 51.53% for T9o and 49.12% for 97s. This opponent changes them by +16.86 and -17.51 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 68.389 | 51.532 | +16.857 | 1.32712 |
| T9o, rainbow, ten or higher | 73.181 | 51.532 | +21.649 | 1.42011 |
| T9o, rainbow, nine or lower | 58.303 | 51.532 | +6.771 | 1.13139 |
| T9o, two-tone | 67.028 | 51.532 | +15.496 | 1.30071 |
| T9o, monotone | 64.363 | 51.532 | +12.831 | 1.24899 |
| T9o, paired | 69.547 | 51.532 | +18.015 | 1.34959 |
| 97s, all flops | 31.611 | 49.118 | -17.507 | 0.64357 |
| 97s, rainbow, ten or higher | 26.819 | 49.118 | -22.299 | 0.54601 |
| 97s, rainbow, nine or lower | 41.697 | 49.118 | -7.421 | 0.84891 |
| 97s, two-tone | 32.972 | 49.118 | -16.146 | 0.67128 |
| 97s, monotone | 35.637 | 49.118 | -13.481 | 0.72554 |
| 97s, paired | 30.453 | 49.118 | -18.665 | 0.62000 |
Does a shared suit matter?
Does suit overlap move the numbers? T9o has 69.39% when the hands share a suit and 67.89% when they do not. T9o does better with a shared suit, by 1.50 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 97s wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.902 | 6.971 | 27.127 | 69.387 |
| No shared suit | 24 | 66.67 | 64.518 | 6.744 | 28.738 | 67.890 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: T9o averages $136.78 back, ahead of its $100 by $36.78, while 97s averages $63.22, short of its $100 by $36.78.
Out of 1,000 deals you should see around 650 outright wins for T9o, 282 for 97s, and 68 split pots.
The same matchup from the other side
If you came looking for 97s against T9o, the numbers are the same with the hands swapped: 31.61% and 68.39%.
Keep exploring
Open the calculator with Ts9h against 9d7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
We counted every case. Each suit pattern of the 36 specific T9o against 97s 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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