T8s
34.29%
Wins 26.90%, ties 14.78%
T9o
65.71%
Wins 58.32%, ties 14.78%
T8s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T8s | 26.904 | 14.779 | 58.317 | 34.293 |
| T9o | 58.317 | 14.779 | 26.904 | 65.707 |
Here a suited hand (T8s) meets an offsuit hand (T9o). The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 31.42 points is large but not decisive: T8s still takes about 269 of every 1,000 deals. 14.78% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 73 of 169 belongs to T8s and place 78 belongs to T9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T8s | 16,584,000 | 9,110,000 | 35,948,000 |
| T9o | 35,948,000 | 9,110,000 | 16,584,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| T8s | 0.522 | 3.717 | 1.715 | 1.916 |
| T9o | 1.916 | 1.715 | 3.717 | 0.522 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. T9o does best on rainbow flops topped by a ten or better, at 69.57%, and worst on paired flops, at 61.40%. T9o stays ahead on all five textures.
| Flop | Share of flops | T8s wins | Ties | T9o wins | T8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.588 | 23.293 | 14.267 | 62.440 | 30.426 |
| Rainbow, nine or lower | 6.360 | 31.430 | 3.423 | 65.147 | 33.141 |
| Two-tone | 46.527 | 28.835 | 11.300 | 59.865 | 34.485 |
| Monotone | 5.192 | 32.610 | 10.640 | 56.750 | 37.930 |
| Paired | 17.333 | 23.473 | 30.250 | 46.277 | 38.598 |
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
Against one random hand instead, T8s holds 52.33% and T9o holds 51.53%. Facing each other changes that by -18.04 points for T8s and +14.18 points for T9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T8s, all flops | 34.293 | 52.334 | -18.041 | 0.65527 |
| T8s, rainbow, ten or higher | 30.426 | 52.334 | -21.908 | 0.58138 |
| T8s, rainbow, nine or lower | 33.141 | 52.334 | -19.193 | 0.63326 |
| T8s, two-tone | 34.485 | 52.334 | -17.849 | 0.65894 |
| T8s, monotone | 37.930 | 52.334 | -14.404 | 0.72477 |
| T8s, paired | 38.598 | 52.334 | -13.736 | 0.73753 |
| T9o, all flops | 65.707 | 51.532 | +14.175 | 1.27507 |
| T9o, rainbow, ten or higher | 69.574 | 51.532 | +18.042 | 1.35011 |
| T9o, rainbow, nine or lower | 66.859 | 51.532 | +15.327 | 1.29743 |
| T9o, two-tone | 65.515 | 51.532 | +13.983 | 1.27135 |
| T9o, monotone | 62.070 | 51.532 | +10.538 | 1.20449 |
| T9o, paired | 61.402 | 51.532 | +9.870 | 1.19153 |
Does a shared suit matter?
Does suit overlap move the numbers? T9o has 66.34% when the hands share a suit and 65.39% when they do not. T9o does better with a shared suit, by 0.95 points.
| Deals | Specific deals | Share of deals | T8s wins | Ties | T9o wins | T8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 26.178 | 14.962 | 58.860 | 33.659 |
| No shared suit | 24 | 66.67 | 27.266 | 14.688 | 58.046 | 34.610 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says T9o gets $131.42 of it on average and T8s gets $68.58.
Per 1,000 deals: T9o wins about 583, T8s wins about 269, and about 148 end in a split pot.
The same matchup from the other side
If you came looking for T9o against T8s, the numbers are the same with the hands swapped: 65.71% and 34.29%.
Keep exploring
The calculator link fills in Ts8s against Th9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 36 deals of T8s against T9o 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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