A9o
44.82%
Wins 44.60%, ties 0.45%
55
55.18%
Wins 54.95%, ties 0.45%
A9o against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 44.595 | 0.448 | 54.957 | 44.819 |
| 55 | 54.957 | 0.448 | 44.595 | 55.181 |
The first hand is an offsuit hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 0.45% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A9o at 25 and 55 at 27 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 54,979,000 | 552,000 | 67,754,000 |
| 55 | 67,754,000 | 552,000 | 54,979,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A9o | 0.812 | 2.242 | 1.820 | 1.231 |
| 55 | 1.231 | 1.820 | 2.242 | 0.812 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
55 prefers low rainbow flops (nine high or lower), where it holds 63.13%, and likes monotone flops least, where it holds 51.87%. 55 stays ahead on all five textures.
| Flop | Share of flops | A9o wins | Ties | 55 wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 46.509 | 0.252 | 53.239 | 46.635 |
| Rainbow, nine or lower | 5.689 | 36.498 | 0.749 | 62.753 | 36.873 |
| Two-tone | 46.485 | 45.054 | 0.330 | 54.616 | 45.219 |
| Monotone | 5.151 | 47.210 | 1.848 | 50.942 | 48.134 |
| Paired | 17.334 | 42.447 | 0.536 | 57.017 | 42.715 |
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
Compared with a random opponent, this matchup shifts A9o from 60.77% by -15.95 points and 55 from 60.33% by -5.15 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 44.819 | 60.773 | -15.954 | 0.73748 |
| A9o, rainbow, ten or higher | 46.635 | 60.773 | -14.138 | 0.76736 |
| A9o, rainbow, nine or lower | 36.873 | 60.773 | -23.900 | 0.60673 |
| A9o, two-tone | 45.219 | 60.773 | -15.554 | 0.74406 |
| A9o, monotone | 48.134 | 60.773 | -12.639 | 0.79203 |
| A9o, paired | 42.715 | 60.773 | -18.058 | 0.70286 |
| 55, all flops | 55.181 | 60.325 | -5.144 | 0.91473 |
| 55, rainbow, ten or higher | 53.365 | 60.325 | -6.960 | 0.88462 |
| 55, rainbow, nine or lower | 63.127 | 60.325 | +2.802 | 1.04645 |
| 55, two-tone | 54.781 | 60.325 | -5.544 | 0.90810 |
| 55, monotone | 51.866 | 60.325 | -8.459 | 0.85978 |
| 55, paired | 57.285 | 60.325 | -3.040 | 0.94961 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and 55 holds 55.10%. In 12 they do not, and it holds 55.57%. 55 does better with no shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 55 wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 44.666 | 0.463 | 54.871 | 44.897 |
| No shared suit | 12 | 16.67 | 44.240 | 0.374 | 55.386 | 44.427 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 55 gets $110.36 of it on average and A9o gets $89.64.
In 1,000 deals of exactly this matchup, expect about 550 won outright by 55, about 446 won outright by A9o and about 4 split.
The same matchup from the other side
Read it from the other side: 55 against A9o is the same matchup with the numbers swapped, so 55 holds 55.18% and A9o holds 44.82%. That address sends you back to this page.
Keep exploring
As9h against 5d5c 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of A9o against 55, 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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