TT
65.20%
Wins 64.16%, ties 2.08%
ATs
34.80%
Wins 33.76%, ties 2.08%
TT against ATs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 64.161 | 2.076 | 33.763 | 65.199 |
| ATs | 33.763 | 2.076 | 64.161 | 34.801 |
One side is a pocket pair, the other is a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
That is a clear edge, 65.20% to 34.80%, but ATs still wins often enough that one hand proves nothing. Ties are 2.08% 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 ATs holds place 13.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 13,184,000 | 427,000 | 6,938,000 |
| ATs | 6,938,000 | 427,000 | 13,184,000 |
12 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) |
|---|---|---|---|---|
| TT | 1.873 | 1.559 | 2.962 | 0.534 |
| ATs | 0.534 | 2.962 | 1.559 | 1.873 |
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
By flop texture, TT's equity runs from 60.93% on monotone flops up to 80.84% 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 | ATs wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 60.081 | 2.097 | 37.822 | 61.130 |
| Rainbow, nine or lower | 7.771 | 79.098 | 3.484 | 17.418 | 80.840 |
| Two-tone | 46.236 | 61.676 | 2.205 | 36.119 | 62.778 |
| Monotone | 5.151 | 59.485 | 2.895 | 37.620 | 60.933 |
| Paired | 17.831 | 70.712 | 0.862 | 28.426 | 71.143 |
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
Relative to a random opponent, TT changes by -9.81 points (baseline 75.01%) and ATs by -29.80 points (baseline 64.60%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 65.199 | 75.012 | -9.813 | 0.86918 |
| TT, rainbow, ten or higher | 61.130 | 75.012 | -13.882 | 0.81494 |
| TT, rainbow, nine or lower | 80.840 | 75.012 | +5.828 | 1.07769 |
| TT, two-tone | 62.778 | 75.012 | -12.234 | 0.83691 |
| TT, monotone | 60.933 | 75.012 | -14.079 | 0.81231 |
| TT, paired | 71.143 | 75.012 | -3.869 | 0.94842 |
| ATs, all flops | 34.801 | 64.602 | -29.801 | 0.53870 |
| ATs, rainbow, ten or higher | 38.870 | 64.602 | -25.732 | 0.60168 |
| ATs, rainbow, nine or lower | 19.160 | 64.602 | -45.442 | 0.29659 |
| ATs, two-tone | 37.222 | 64.602 | -27.380 | 0.57617 |
| ATs, monotone | 39.067 | 64.602 | -25.535 | 0.60473 |
| ATs, paired | 28.857 | 64.602 | -35.745 | 0.44669 |
Does a shared suit matter?
TT and ATs never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | TT wins | Ties | ATs wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 64.161 | 2.076 | 33.763 | 65.199 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are TT in one seat and ATs in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. TT averages $130.40 from the $200, up $30.40; ATs averages $69.60, down $30.40.
Over a long run, 1,000 deals split into about 641 for TT, 338 for ATs and 21 tied.
The same matchup from the other side
Swap the hands and you get ATs with 34.80% against TT with 65.20%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
TsTh against AdTd 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
We counted every case. Each suit pattern of the 12 specific TT against ATs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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