A4s
55.82%
Wins 55.57%, ties 0.50%
T8s
44.18%
Wins 43.93%, ties 0.50%
A4s against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 55.573 | 0.498 | 43.929 | 55.822 |
| T8s | 43.929 | 0.498 | 55.573 | 44.178 |
A4s meets T8s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 11.64 point lead is real, and T8s still takes about 439 of every 1,000 deals outright. Ties are part of the picture: 0.50% of boards end in a split pot, and each side counts that as half a win.
A4s ranks number 35 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 15,225,000 | 136,000 | 12,035,000 |
| T8s | 12,035,000 | 136,000 | 15,225,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| A4s | 1.264 | 1.799 | 2.276 | 0.791 |
| T8s | 0.791 | 2.276 | 1.799 | 1.264 |
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 A4s' equity moves by 9.84 points, from 51.56% on low rainbow flops (nine high or lower) to 61.40% on paired flops. A4s stays ahead on all five textures.
| Flop | Share of flops | A4s wins | Ties | T8s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 55.681 | 0.193 | 44.126 | 55.777 |
| Rainbow, nine or lower | 6.366 | 51.258 | 0.605 | 48.137 | 51.561 |
| Two-tone | 46.727 | 54.501 | 0.256 | 45.243 | 54.629 |
| Monotone | 5.273 | 51.950 | 3.424 | 44.626 | 53.662 |
| Paired | 17.091 | 61.076 | 0.657 | 38.267 | 61.404 |
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 A4s 59.03% and T8s 52.33%. Against each other the change is -3.21 points for A4s and -8.15 for T8s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 55.822 | 59.034 | -3.212 | 0.94559 |
| A4s, rainbow, ten or higher | 55.777 | 59.034 | -3.257 | 0.94483 |
| A4s, rainbow, nine or lower | 51.561 | 59.034 | -7.473 | 0.87341 |
| A4s, two-tone | 54.629 | 59.034 | -4.405 | 0.92538 |
| A4s, monotone | 53.662 | 59.034 | -5.372 | 0.90900 |
| A4s, paired | 61.404 | 59.034 | +2.370 | 1.04015 |
| T8s, all flops | 44.178 | 52.334 | -8.156 | 0.84415 |
| T8s, rainbow, ten or higher | 44.223 | 52.334 | -8.111 | 0.84501 |
| T8s, rainbow, nine or lower | 48.439 | 52.334 | -3.895 | 0.92557 |
| T8s, two-tone | 45.371 | 52.334 | -6.963 | 0.86695 |
| T8s, monotone | 46.338 | 52.334 | -5.996 | 0.88543 |
| T8s, paired | 38.596 | 52.334 | -13.738 | 0.73749 |
Does a shared suit matter?
When the hands share a suit, A4s holds 57.53%; when they do not, it holds 55.25%. A4s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | T8s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.245 | 0.578 | 42.177 | 57.534 |
| No shared suit | 12 | 75.00 | 55.016 | 0.472 | 44.512 | 55.252 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A4s against T8s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A4s averages $111.64 from the $200, up $11.64; T8s averages $88.36, down $11.64.
Over a long run, 1,000 deals split into about 556 for A4s, 439 for T8s and 5 tied.
The same matchup from the other side
The reversed view, T8s against A4s, shows 44.18% for T8s and 55.82% for A4s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As4s 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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