TT
81.87%
Wins 81.56%, ties 0.60%
22
18.13%
Wins 17.84%, ties 0.60%
TT against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 81.564 | 0.604 | 17.832 | 81.866 |
| 22 | 17.832 | 0.604 | 81.564 | 18.134 |
The matchup is pocket pairs on both sides, TT against 22. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.
That is a heavy lead: 22 needs the board to help it on most runouts and still falls behind far more often than not. Ties are part of the picture: 0.60% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, TT is number 5 of the 169 starting hands and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 50,278,000 | 372,000 | 10,992,000 |
| 22 | 10,992,000 | 372,000 | 50,278,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| TT | 4.515 | 1.226 | 5.608 | 0.222 |
| 22 | 0.222 | 5.608 | 1.226 | 4.515 |
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
The flop changes the picture. TT does best on paired flops, at 86.88%, and worst on low rainbow flops (nine high or lower), at 70.22%. TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | TT wins | Ties | 22 wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.182 | 0.294 | 15.524 | 84.329 |
| Rainbow, nine or lower | 6.314 | 69.696 | 1.048 | 29.256 | 70.220 |
| Two-tone | 46.363 | 80.623 | 0.432 | 18.945 | 80.839 |
| Monotone | 5.152 | 75.174 | 2.676 | 22.150 | 76.512 |
| Paired | 17.576 | 86.521 | 0.724 | 12.755 | 86.883 |
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 22 50.33%. Against each other the change is +6.86 points for TT and -32.20 for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 81.866 | 75.012 | +6.854 | 1.09137 |
| TT, rainbow, ten or higher | 84.329 | 75.012 | +9.317 | 1.12421 |
| TT, rainbow, nine or lower | 70.220 | 75.012 | -4.792 | 0.93612 |
| TT, two-tone | 80.839 | 75.012 | +5.827 | 1.07768 |
| TT, monotone | 76.512 | 75.012 | +1.500 | 1.02000 |
| TT, paired | 86.883 | 75.012 | +11.871 | 1.15825 |
| 22, all flops | 18.134 | 50.334 | -32.200 | 0.36027 |
| 22, rainbow, ten or higher | 15.671 | 50.334 | -34.663 | 0.31134 |
| 22, rainbow, nine or lower | 29.780 | 50.334 | -20.554 | 0.59165 |
| 22, two-tone | 19.161 | 50.334 | -31.173 | 0.38068 |
| 22, monotone | 23.488 | 50.334 | -26.846 | 0.46664 |
| 22, paired | 13.117 | 50.334 | -37.217 | 0.26060 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common TT has 82.00% equity, and with none in common it has 81.20%. TT does better with a shared suit, by 0.80 points.
| Deals | Specific deals | Share of deals | TT wins | Ties | 22 wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.694 | 0.611 | 17.695 | 81.999 |
| No shared suit | 6 | 16.67 | 80.920 | 0.567 | 18.513 | 81.203 |
How often this matchup comes up
Counting specific cards, TT against 22 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. TT is worth $163.74 on average (+$63.74); 22 is worth $36.26 (-$63.74).
A thousand deals look like this: TT takes 816, 22 takes 178, 6 are ties.
The same matchup from the other side
If you came looking for 22 against TT, the numbers are the same with the hands swapped: 18.13% and 81.87%.
Keep exploring
Open the calculator with TsTh against 2d2c 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of TT against 22, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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