TT
87.17%
Wins 85.76%, ties 2.82%
T9o
12.83%
Wins 11.42%, ties 2.82%
TT against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 85.758 | 2.822 | 11.420 | 87.169 |
| T9o | 11.420 | 2.822 | 85.758 | 12.831 |
The matchup pits a pocket pair against an offsuit hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
This is one of the lopsided matchups: T9o wins only 11.42% of the boards outright. Ties are 2.82% of the outcomes here; each tied board gives both hands half the pot.
Place 5 of 169 belongs to TT and place 78 belongs to T9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 52,864,000 | 1,740,000 | 7,040,000 |
| T9o | 7,040,000 | 1,740,000 | 52,864,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| TT | 6.794 | 1.166 | 8.757 | 0.147 |
| T9o | 0.147 | 8.757 | 1.166 | 6.794 |
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, TT peaks at 88.70% on paired flops and bottoms out at 79.36% on monotone flops. TT stays ahead on all five textures.
| Flop | Share of flops | TT wins | Ties | T9o wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.782 | 86.551 | 2.883 | 10.566 | 87.993 |
| Rainbow, nine or lower | 7.042 | 86.333 | 2.991 | 10.676 | 87.829 |
| Two-tone | 46.215 | 85.527 | 2.785 | 11.688 | 86.919 |
| Monotone | 5.130 | 77.873 | 2.978 | 19.149 | 79.362 |
| Paired | 17.831 | 87.340 | 2.725 | 9.935 | 88.702 |
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 TT 75.01% and T9o 51.53%. Against each other the change is +12.16 points for TT and -38.70 for T9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 87.169 | 75.012 | +12.157 | 1.16207 |
| TT, rainbow, ten or higher | 87.993 | 75.012 | +12.981 | 1.17305 |
| TT, rainbow, nine or lower | 87.829 | 75.012 | +12.817 | 1.17087 |
| TT, two-tone | 86.919 | 75.012 | +11.907 | 1.15873 |
| TT, monotone | 79.362 | 75.012 | +4.350 | 1.05799 |
| TT, paired | 88.702 | 75.012 | +13.690 | 1.18250 |
| T9o, all flops | 12.831 | 51.532 | -38.701 | 0.24899 |
| T9o, rainbow, ten or higher | 12.007 | 51.532 | -39.525 | 0.23300 |
| T9o, rainbow, nine or lower | 12.171 | 51.532 | -39.361 | 0.23618 |
| T9o, two-tone | 13.081 | 51.532 | -38.451 | 0.25384 |
| T9o, monotone | 20.638 | 51.532 | -30.894 | 0.40049 |
| T9o, paired | 11.298 | 51.532 | -40.234 | 0.21924 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and TT holds 87.44%. In 12 they do not, and it holds 86.63%. TT does better with a shared suit, by 0.81 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | T9o wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 86.010 | 2.859 | 11.131 | 87.439 |
| No shared suit | 12 | 33.33 | 85.254 | 2.747 | 11.999 | 86.627 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $174.34 of it on average and T9o gets $25.66.
In 1,000 deals of exactly this matchup, expect about 858 won outright by TT, about 114 won outright by T9o and about 28 split.
The same matchup from the other side
If you came looking for T9o against TT, the numbers are the same with the hands swapped: 12.83% and 87.17%.
Keep exploring
Open the calculator with TsTh against Td9c 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 36 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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