A8s
62.71%
Wins 62.46%, ties 0.50%
75s
37.29%
Wins 37.04%, ties 0.50%
A8s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 62.459 | 0.498 | 37.043 | 62.708 |
| 75s | 37.043 | 0.498 | 62.459 | 37.292 |
A8s and 75s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.50% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, A8s is number 21 of the 169 starting hands and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 17,112,000 | 136,000 | 10,149,000 |
| 75s | 10,149,000 | 136,000 | 17,112,000 |
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) |
|---|---|---|---|---|
| A8s | 1.682 | 1.601 | 2.700 | 0.595 |
| 75s | 0.595 | 2.700 | 1.601 | 1.682 |
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
Across the five flop textures A8s' equity moves by 20.65 points, from 46.00% on low rainbow flops (nine high or lower) to 66.65% on rainbow flops topped by a ten or better. 75s is ahead on low rainbow flops (nine high or lower), even though it trails A8s when every flop is counted.
| Flop | Share of flops | A8s wins | Ties | 75s wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.532 | 0.225 | 33.243 | 66.645 |
| Rainbow, nine or lower | 5.689 | 45.745 | 0.499 | 53.756 | 45.995 |
| Two-tone | 46.727 | 61.759 | 0.252 | 37.989 | 61.885 |
| Monotone | 5.273 | 57.953 | 3.432 | 38.615 | 59.669 |
| Paired | 17.091 | 65.320 | 0.665 | 34.015 | 65.653 |
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
The table below sets each hand against its own random-hand baseline: a change of +0.77 points for A8s, from 61.94%, and -6.39 for 75s, from 43.68%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 62.708 | 61.944 | +0.764 | 1.01233 |
| A8s, rainbow, ten or higher | 66.645 | 61.944 | +4.701 | 1.07589 |
| A8s, rainbow, nine or lower | 45.995 | 61.944 | -15.949 | 0.74253 |
| A8s, two-tone | 61.885 | 61.944 | -0.059 | 0.99905 |
| A8s, monotone | 59.669 | 61.944 | -2.275 | 0.96327 |
| A8s, paired | 65.653 | 61.944 | +3.709 | 1.05988 |
| 75s, all flops | 37.292 | 43.676 | -6.384 | 0.85383 |
| 75s, rainbow, ten or higher | 33.355 | 43.676 | -10.321 | 0.76369 |
| 75s, rainbow, nine or lower | 54.005 | 43.676 | +10.329 | 1.23649 |
| 75s, two-tone | 38.115 | 43.676 | -5.561 | 0.87268 |
| 75s, monotone | 40.331 | 43.676 | -3.345 | 0.92341 |
| 75s, paired | 34.347 | 43.676 | -9.329 | 0.78640 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A8s at 65.06%) and 12 do not (61.93%). A8s does better with a shared suit, by 3.13 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | 75s wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.769 | 0.573 | 34.658 | 65.056 |
| No shared suit | 12 | 75.00 | 61.690 | 0.472 | 37.838 | 61.926 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are A8s in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A8s gets $125.42 of it on average and 75s gets $74.58.
Out of 1,000 deals you should see around 625 outright wins for A8s, 370 for 75s, and 5 split pots.
The same matchup from the other side
If you came looking for 75s against A8s, the numbers are the same with the hands swapped: 37.29% and 62.71%.
Keep exploring
Try As8s against 7h5h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
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.
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