T9s
53.64%
Wins 52.78%, ties 1.72%
22
46.36%
Wins 45.50%, ties 1.72%
T9s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 52.778 | 1.722 | 45.500 | 53.639 |
| 22 | 45.500 | 1.722 | 52.778 | 46.361 |
One side is a suited hand, the other is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
T9s leads by less than 8 points of equity, so the result of any one deal is close to a toss-up. The tie share is 1.72%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, T9s is number 64 and 22 is number 87 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 21,689,000 | 708,000 | 18,698,000 |
| 22 | 18,698,000 | 708,000 | 21,689,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| T9s | 1.157 | 1.895 | 2.198 | 0.864 |
| 22 | 0.864 | 2.198 | 1.895 | 1.157 |
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
Across the five flop textures T9s' equity moves by 7.37 points, from 47.45% on low rainbow flops (nine high or lower) to 54.82% on two-tone flops. Watch for low rainbow flops (nine high or lower): on those flops 22 holds the better equity.
| Flop | Share of flops | T9s wins | Ties | 22 wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 53.849 | 0.951 | 45.200 | 54.324 |
| Rainbow, nine or lower | 5.689 | 47.076 | 0.750 | 52.174 | 47.451 |
| Two-tone | 46.545 | 54.380 | 0.872 | 44.748 | 54.816 |
| Monotone | 5.212 | 50.813 | 4.157 | 45.030 | 52.891 |
| Paired | 17.334 | 49.377 | 4.716 | 45.907 | 51.735 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give T9s 54.03% and 22 50.33%. Against each other the change is -0.39 points for T9s and -3.97 for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 53.639 | 54.028 | -0.389 | 0.99280 |
| T9s, rainbow, ten or higher | 54.324 | 54.028 | +0.296 | 1.00548 |
| T9s, rainbow, nine or lower | 47.451 | 54.028 | -6.577 | 0.87827 |
| T9s, two-tone | 54.816 | 54.028 | +0.788 | 1.01459 |
| T9s, monotone | 52.891 | 54.028 | -1.137 | 0.97896 |
| T9s, paired | 51.735 | 54.028 | -2.293 | 0.95756 |
| 22, all flops | 46.361 | 50.334 | -3.973 | 0.92107 |
| 22, rainbow, ten or higher | 45.676 | 50.334 | -4.658 | 0.90746 |
| 22, rainbow, nine or lower | 52.549 | 50.334 | +2.215 | 1.04401 |
| 22, two-tone | 45.184 | 50.334 | -5.150 | 0.89768 |
| 22, monotone | 47.109 | 50.334 | -3.225 | 0.93593 |
| 22, paired | 48.265 | 50.334 | -2.069 | 0.95889 |
Does a shared suit matter?
Does suit overlap move the numbers? T9s has 53.50% when the hands share a suit and 53.78% when they do not. T9s does better with no shared suit, by 0.28 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 22 wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.626 | 1.743 | 45.631 | 53.497 |
| No shared suit | 12 | 50.00 | 52.929 | 1.702 | 45.369 | 53.780 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $107.28 for T9s and $92.72 for 22; the first side gains $7.28 per all-in and the second gives up $7.28.
Over a long run, 1,000 deals split into about 528 for T9s, 455 for 22 and 17 tied.
The same matchup from the other side
If you came looking for 22 against T9s, the numbers are the same with the hands swapped: 46.36% and 53.64%.
Keep exploring
The calculator link fills in Ts9s against 2h2d, 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 24 deals of T9s against 22 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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