T9s
52.49%
Wins 7.16%, ties 90.67%
T9o
47.51%
Wins 2.17%, ties 90.67%
T9s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 7.158 | 90.669 | 2.173 | 52.492 |
| T9o | 2.173 | 90.669 | 7.158 | 47.508 |
We compare a suited hand with an offsuit hand. The two classes use the same two ranks and differ only in suits, so the suited hand is ahead mainly by making flushes.
With only 4.98 points between them, the board decides this matchup far more than the cards in hand. The tie share is 90.67%: on those boards the pot is chopped and neither hand wins outright.
Place 64 of 169 belongs to T9s and place 78 belongs to T9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 2,942,000 | 37,261,000 | 893,000 |
| T9o | 893,000 | 37,261,000 | 2,942,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| T9s | 1.105 | 13.970 | 46.019 | 0.905 |
| T9o | 0.905 | 46.019 | 13.970 | 1.105 |
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
Two-tone flops are the best for T9s (53.28%); monotone flops are the worst (50.28%). T9s stays ahead on all five textures.
| Flop | Share of flops | T9s wins | Ties | T9o wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 3.296 | 96.704 | 0.000 | 51.648 |
| Rainbow, nine or lower | 6.314 | 3.322 | 96.678 | 0.000 | 51.661 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.515 | 63.537 | 17.948 | 50.283 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 54.03% for T9s, 51.53% for T9o. Here the change is -1.54 and -4.02 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 52.492 | 54.028 | -1.536 | 0.97157 |
| T9s, rainbow, ten or higher | 51.648 | 54.028 | -2.380 | 0.95595 |
| T9s, rainbow, nine or lower | 51.661 | 54.028 | -2.367 | 0.95619 |
| T9s, two-tone | 53.280 | 54.028 | -0.748 | 0.98616 |
| T9s, monotone | 50.283 | 54.028 | -3.745 | 0.93068 |
| T9s, paired | 52.541 | 54.028 | -1.487 | 0.97248 |
| T9o, all flops | 47.508 | 51.532 | -4.024 | 0.92191 |
| T9o, rainbow, ten or higher | 48.352 | 51.532 | -3.180 | 0.93829 |
| T9o, rainbow, nine or lower | 48.339 | 51.532 | -3.193 | 0.93804 |
| T9o, two-tone | 46.720 | 51.532 | -4.812 | 0.90662 |
| T9o, monotone | 49.717 | 51.532 | -1.815 | 0.96478 |
| T9o, paired | 47.459 | 51.532 | -4.073 | 0.92096 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | T9s wins | Ties | T9o wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.158 | 90.669 | 2.173 | 52.492 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. T9s averages $104.98 from the $200, up $4.98; T9o averages $95.02, down $4.98.
Out of 1,000 deals you should see around 71 outright wins for T9s, 22 for T9o, and 907 split pots.
The same matchup from the other side
One page covers both views. From T9o's side the equity is 47.51%, and from T9s' side it is 52.49%.
Keep exploring
Open the calculator with Ts9s against Th9d 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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