T9o
51.42%
Wins 50.55%, ties 1.75%
22
48.58%
Wins 47.70%, ties 1.75%
T9o against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 50.546 | 1.748 | 47.706 | 51.420 |
| 22 | 47.706 | 1.748 | 50.546 | 48.580 |
The matchup pits an offsuit hand against a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
T9o leads by less than 3 points of equity, so the result of any one deal is close to a toss-up. 1.75% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, T9o is number 78 and 22 is number 87 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 62,316,000 | 2,155,000 | 58,815,000 |
| 22 | 58,815,000 | 2,155,000 | 62,316,000 |
72 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 | 1.058 | 1.978 | 2.096 | 0.945 |
| 22 | 0.945 | 2.096 | 1.978 | 1.058 |
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
Split by what the flop looks like, T9o peaks at 53.43% on monotone flops and bottoms out at 45.78% on low rainbow flops (nine high or lower). 22 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails T9o when every flop is counted.
| Flop | Share of flops | T9o wins | Ties | 22 wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 52.383 | 0.979 | 46.638 | 52.873 |
| Rainbow, nine or lower | 5.689 | 45.387 | 0.781 | 53.832 | 45.777 |
| Two-tone | 46.485 | 51.262 | 0.927 | 47.811 | 51.725 |
| Monotone | 5.151 | 51.839 | 3.181 | 44.980 | 53.429 |
| Paired | 17.334 | 47.251 | 4.967 | 47.782 | 49.735 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -0.11 points for T9o, from 51.53%, and -1.75 for 22, from 50.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 51.420 | 51.532 | -0.112 | 0.99783 |
| T9o, rainbow, ten or higher | 52.873 | 51.532 | +1.341 | 1.02602 |
| T9o, rainbow, nine or lower | 45.777 | 51.532 | -5.755 | 0.88832 |
| T9o, two-tone | 51.725 | 51.532 | +0.193 | 1.00375 |
| T9o, monotone | 53.429 | 51.532 | +1.897 | 1.03681 |
| T9o, paired | 49.735 | 51.532 | -1.797 | 0.96513 |
| 22, all flops | 48.580 | 50.334 | -1.754 | 0.96515 |
| 22, rainbow, ten or higher | 47.127 | 50.334 | -3.207 | 0.93629 |
| 22, rainbow, nine or lower | 54.223 | 50.334 | +3.889 | 1.07726 |
| 22, two-tone | 48.275 | 50.334 | -2.059 | 0.95909 |
| 22, monotone | 46.571 | 50.334 | -3.763 | 0.92524 |
| 22, paired | 50.265 | 50.334 | -0.069 | 0.99863 |
Does a shared suit matter?
Split by suits, the deals give T9o 51.51% when the hands overlap in a suit and 50.97% when they do not. T9o does better with a shared suit, by 0.54 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 22 wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 50.634 | 1.755 | 47.611 | 51.511 |
| No shared suit | 12 | 16.67 | 50.109 | 1.712 | 48.179 | 50.965 |
How often this matchup comes up
How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are T9o against 22, and 144 (0.0089%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, T9o's average share is $102.84 (a gain of $2.84) and 22's is $97.16 (a loss of $2.84).
Per 1,000 deals: T9o wins about 505, 22 wins about 477, and about 18 end in a split pot.
The same matchup from the other side
One page covers both views. From 22's side the equity is 48.58%, and from T9o's side it is 51.42%.
Keep exploring
The calculator link fills in Ts9h against 2d2c, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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