88
57.10%
Wins 56.92%, ties 0.36%
A9o
42.90%
Wins 42.72%, ties 0.36%
88 against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 88 | 56.915 | 0.361 | 42.724 | 57.095 |
| A9o | 42.724 | 0.361 | 56.915 | 42.905 |
Here a pocket pair (88) meets an offsuit hand (A9o). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.36% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, 88 is number 7 and A9o is number 25.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88 | 70,168,000 | 445,000 | 52,673,000 |
| A9o | 52,673,000 | 445,000 | 70,168,000 |
72 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) |
|---|---|---|---|---|
| 88 | 1.331 | 1.757 | 2.341 | 0.751 |
| A9o | 0.751 | 2.341 | 1.757 | 1.331 |
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
Low rainbow flops (nine high or lower) are the best for 88 (62.47%); monotone flops are the worst (53.07%). 88 stays ahead on all five textures.
| Flop | Share of flops | 88 wins | Ties | A9o wins | 88 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 55.241 | 0.189 | 44.570 | 55.335 |
| Rainbow, nine or lower | 5.689 | 62.105 | 0.734 | 37.161 | 62.472 |
| Two-tone | 46.485 | 56.087 | 0.278 | 43.635 | 56.226 |
| Monotone | 5.151 | 52.231 | 1.680 | 46.089 | 53.071 |
| Paired | 17.334 | 61.273 | 0.317 | 38.410 | 61.432 |
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
A random hand would give 88 69.16% and A9o 60.77%. Against each other the change is -12.06 points for 88 and -17.87 for A9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 88, all flops | 57.095 | 69.163 | -12.068 | 0.82551 |
| 88, rainbow, ten or higher | 55.335 | 69.163 | -13.828 | 0.80007 |
| 88, rainbow, nine or lower | 62.472 | 69.163 | -6.691 | 0.90326 |
| 88, two-tone | 56.226 | 69.163 | -12.937 | 0.81295 |
| 88, monotone | 53.071 | 69.163 | -16.092 | 0.76733 |
| 88, paired | 61.432 | 69.163 | -7.731 | 0.88822 |
| A9o, all flops | 42.905 | 60.773 | -17.868 | 0.70599 |
| A9o, rainbow, ten or higher | 44.665 | 60.773 | -16.108 | 0.73495 |
| A9o, rainbow, nine or lower | 37.528 | 60.773 | -23.245 | 0.61751 |
| A9o, two-tone | 43.774 | 60.773 | -16.999 | 0.72029 |
| A9o, monotone | 46.929 | 60.773 | -13.844 | 0.77220 |
| A9o, paired | 38.568 | 60.773 | -22.205 | 0.63462 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and 88 holds 57.02%. In 12 they do not, and it holds 57.48%. 88 does better with no shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | 88 wins | Ties | A9o wins | 88 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.830 | 0.376 | 42.794 | 57.018 |
| No shared suit | 12 | 16.67 | 57.341 | 0.282 | 42.377 | 57.482 |
How often this matchup comes up
The class pair covers 72 combinations of specific cards in a fixed seat order, 0.0044% of 1,624,350, and 144 (0.0089%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $114.20 for 88 and $85.80 for A9o; the first side gains $14.20 per all-in and the second gives up $14.20.
Scaled to 1,000 deals, that is roughly 569 wins for 88, 427 for A9o and 4 chopped pots.
The same matchup from the other side
Swap the hands and you get A9o with 42.90% against 88 with 57.10%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with 8s8h against Ad9c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 88 against A9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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