TT
66.43%
Wins 65.43%, ties 2.00%
QTo
33.57%
Wins 32.57%, ties 2.00%
TT against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 65.428 | 1.997 | 32.575 | 66.427 |
| QTo | 32.575 | 1.997 | 65.428 | 33.573 |
TT is a pocket pair and QTo is an offsuit hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
That is a clear edge, 66.43% to 33.57%, but QTo still wins often enough that one hand proves nothing. Ties are 2.00% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, TT holds place 5 of 169 and QTo holds place 47.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 40,332,000 | 1,231,000 | 20,080,000 |
| QTo | 20,080,000 | 1,231,000 | 40,332,000 |
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 | 1.979 | 1.528 | 3.070 | 0.505 |
| QTo | 0.505 | 3.070 | 1.528 | 1.979 |
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
Across the five flop textures TT's equity moves by 23.26 points, from 59.76% on rainbow flops topped by a ten or better to 83.02% on low rainbow flops (nine high or lower). 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 | QTo wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 58.724 | 2.079 | 39.197 | 59.763 |
| Rainbow, nine or lower | 7.771 | 81.566 | 2.915 | 15.519 | 83.023 |
| Two-tone | 46.215 | 63.865 | 2.184 | 33.951 | 64.957 |
| Monotone | 5.130 | 58.766 | 2.494 | 38.740 | 60.013 |
| Paired | 17.831 | 73.031 | 0.863 | 26.106 | 73.463 |
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 TT 75.01% and QTo 57.29%. Against each other the change is -8.58 points for TT and -23.72 for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 66.427 | 75.012 | -8.585 | 0.88555 |
| TT, rainbow, ten or higher | 59.763 | 75.012 | -15.249 | 0.79671 |
| TT, rainbow, nine or lower | 83.023 | 75.012 | +8.011 | 1.10680 |
| TT, two-tone | 64.957 | 75.012 | -10.055 | 0.86595 |
| TT, monotone | 60.013 | 75.012 | -14.999 | 0.80005 |
| TT, paired | 73.463 | 75.012 | -1.549 | 0.97935 |
| QTo, all flops | 33.573 | 57.291 | -23.718 | 0.58601 |
| QTo, rainbow, ten or higher | 40.237 | 57.291 | -17.054 | 0.70233 |
| QTo, rainbow, nine or lower | 16.977 | 57.291 | -40.314 | 0.29633 |
| QTo, two-tone | 35.043 | 57.291 | -22.248 | 0.61167 |
| QTo, monotone | 39.987 | 57.291 | -17.304 | 0.69796 |
| QTo, paired | 26.537 | 57.291 | -30.754 | 0.46320 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (TT at 66.35%) and 12 do not (66.58%). The two rows differ by only 0.23 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | TT wins | Ties | QTo wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 65.333 | 2.032 | 32.635 | 66.349 |
| No shared suit | 12 | 33.33 | 65.619 | 1.926 | 32.455 | 66.582 |
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
With $100 from each side, the $200 pot is split on average as $132.86 for TT and $67.14 for QTo; the first side gains $32.86 per all-in and the second gives up $32.86.
Out of 1,000 deals you should see around 654 outright wins for TT, 326 for QTo, and 20 split pots.
The same matchup from the other side
Swap the hands and you get QTo with 33.57% against TT with 66.43%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
TsTh against QdTc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 36 ways to deal one TT and one QTo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session