A7s
56.63%
Wins 56.40%, ties 0.45%
T8s
43.37%
Wins 43.15%, ties 0.45%
A7s against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 56.402 | 0.454 | 43.144 | 56.629 |
| T8s | 43.144 | 0.454 | 56.402 | 43.371 |
Each side holds one of the suited hands: A7s and T8s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 13.26 point lead is real, and T8s still takes about 431 of every 1,000 deals outright. 0.45% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 24 of 169 belongs to A7s and place 73 belongs to T8s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 15,452,000 | 124,000 | 11,820,000 |
| T8s | 11,820,000 | 124,000 | 15,452,000 |
16 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) |
|---|---|---|---|---|
| A7s | 1.306 | 1.773 | 2.318 | 0.766 |
| T8s | 0.766 | 2.318 | 1.773 | 1.306 |
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
If you know the kind of flop that came, the numbers shift: A7s holds 62.04% on paired flops and 53.02% on low rainbow flops (nine high or lower). A7s stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | T8s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 56.515 | 0.187 | 43.298 | 56.609 |
| Rainbow, nine or lower | 6.366 | 52.839 | 0.361 | 46.800 | 53.019 |
| Two-tone | 46.727 | 55.328 | 0.207 | 44.465 | 55.431 |
| Monotone | 5.273 | 52.469 | 3.385 | 44.146 | 54.161 |
| Paired | 17.091 | 61.715 | 0.645 | 37.640 | 62.038 |
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
Against one random hand instead, A7s holds 60.98% and T8s holds 52.33%. Facing each other changes that by -4.35 points for A7s and -8.96 points for T8s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 56.629 | 60.984 | -4.355 | 0.92859 |
| A7s, rainbow, ten or higher | 56.609 | 60.984 | -4.375 | 0.92826 |
| A7s, rainbow, nine or lower | 53.019 | 60.984 | -7.965 | 0.86939 |
| A7s, two-tone | 55.431 | 60.984 | -5.553 | 0.90894 |
| A7s, monotone | 54.161 | 60.984 | -6.823 | 0.88812 |
| A7s, paired | 62.038 | 60.984 | +1.054 | 1.01728 |
| T8s, all flops | 43.371 | 52.334 | -8.963 | 0.82873 |
| T8s, rainbow, ten or higher | 43.391 | 52.334 | -8.943 | 0.82912 |
| T8s, rainbow, nine or lower | 46.981 | 52.334 | -5.353 | 0.89771 |
| T8s, two-tone | 44.569 | 52.334 | -7.765 | 0.85163 |
| T8s, monotone | 45.839 | 52.334 | -6.495 | 0.87589 |
| T8s, paired | 37.962 | 52.334 | -14.372 | 0.72538 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A7s at 58.48%) and 12 do not (56.01%). A7s does better with a shared suit, by 2.47 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | T8s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.218 | 0.527 | 41.255 | 58.481 |
| No shared suit | 12 | 75.00 | 55.796 | 0.430 | 43.774 | 56.011 |
How often this matchup comes up
Counting specific cards, A7s against T8s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A7s' average share is $113.26 (a gain of $13.26) and T8s' is $86.74 (a loss of $13.26).
A thousand deals look like this: A7s takes 564, T8s takes 431, 5 are ties.
The same matchup from the other side
The mirror image, T8s against A7s, is 43.37% to 56.63%, and its address redirects to this page.
Keep exploring
The calculator link fills in As7s against Th8h, 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
This is an exact count with no sampling. For the 16 ways to deal one A7s and one T8s 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.
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